45.342 * [progress]: [Phase 1 of 3] Setting up.
0.003 * * * [progress]: [1/2] Preparing points
0.155 * * * [progress]: [2/2] Setting up program.
0.159 * [progress]: [Phase 2 of 3] Improving.
0.159 * * * * [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)))))>
0.159 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.160 * * [simplify]: iteration 1: (17 enodes)
0.163 * * [simplify]: iteration 2: (36 enodes)
0.191 * * [simplify]: iteration 3: (81 enodes)
0.222 * * [simplify]: iteration 4: (188 enodes)
0.319 * * [simplify]: iteration 5: (624 enodes)
0.785 * * [simplify]: Extracting #0: cost 1 inf + 0
0.785 * * [simplify]: Extracting #1: cost 15 inf + 0
0.785 * * [simplify]: Extracting #2: cost 15 inf + 2
0.785 * * [simplify]: Extracting #3: cost 18 inf + 44
0.786 * * [simplify]: Extracting #4: cost 203 inf + 89
0.789 * * [simplify]: Extracting #5: cost 339 inf + 6839
0.799 * * [simplify]: Extracting #6: cost 212 inf + 33555
0.828 * * [simplify]: Extracting #7: cost 37 inf + 105276
0.860 * * [simplify]: Extracting #8: cost 2 inf + 122778
0.904 * * [simplify]: Extracting #9: cost 0 inf + 123979
0.972 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* -2 J)))
0.986 * * [progress]: iteration 1 / 4
0.986 * * * [progress]: picking best candidate
0.994 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
0.994 * * * [progress]: localizing error
1.025 * * * [progress]: generating rewritten candidates
1.025 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.107 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.289 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.326 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
1.356 * * * [progress]: generating series expansions
1.356 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.356 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
1.356 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
1.356 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.357 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.357 * [taylor]: Taking taylor expansion of 1/4 in K
1.357 * [backup-simplify]: Simplify 1/4 into 1/4
1.357 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.357 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.357 * [taylor]: Taking taylor expansion of U in K
1.357 * [backup-simplify]: Simplify U into U
1.357 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.357 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.357 * [taylor]: Taking taylor expansion of 1/2 in K
1.357 * [backup-simplify]: Simplify 1/2 into 1/2
1.357 * [taylor]: Taking taylor expansion of K in K
1.357 * [backup-simplify]: Simplify 0 into 0
1.357 * [backup-simplify]: Simplify 1 into 1
1.358 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.358 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.358 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.358 * [taylor]: Taking taylor expansion of J in K
1.358 * [backup-simplify]: Simplify J into J
1.358 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.359 * [backup-simplify]: Simplify (* 1 1) into 1
1.359 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.359 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.359 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.359 * [taylor]: Taking taylor expansion of 1 in K
1.359 * [backup-simplify]: Simplify 1 into 1
1.359 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.360 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.360 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.360 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.360 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.360 * [backup-simplify]: Simplify (+ 0) into 0
1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.362 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.362 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.362 * [backup-simplify]: Simplify (+ 0 0) into 0
1.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.363 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.363 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.363 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.363 * [taylor]: Taking taylor expansion of 1/4 in J
1.363 * [backup-simplify]: Simplify 1/4 into 1/4
1.363 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.363 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.363 * [taylor]: Taking taylor expansion of U in J
1.363 * [backup-simplify]: Simplify U into U
1.363 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.363 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.363 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.363 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.363 * [taylor]: Taking taylor expansion of 1/2 in J
1.363 * [backup-simplify]: Simplify 1/2 into 1/2
1.363 * [taylor]: Taking taylor expansion of K in J
1.363 * [backup-simplify]: Simplify K into K
1.363 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.363 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.363 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.363 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.363 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.364 * [backup-simplify]: Simplify (- 0) into 0
1.364 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.364 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.364 * [taylor]: Taking taylor expansion of J in J
1.364 * [backup-simplify]: Simplify 0 into 0
1.364 * [backup-simplify]: Simplify 1 into 1
1.364 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.364 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.365 * [backup-simplify]: Simplify (* 1 1) into 1
1.365 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.365 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.365 * [taylor]: Taking taylor expansion of 1 in J
1.365 * [backup-simplify]: Simplify 1 into 1
1.365 * [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)))
1.365 * [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)))
1.366 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.366 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.367 * [backup-simplify]: Simplify (+ 0) into 0
1.368 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.370 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.370 * [backup-simplify]: Simplify (- 0) into 0
1.371 * [backup-simplify]: Simplify (+ 0 0) into 0
1.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.371 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.372 * [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
1.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.373 * [backup-simplify]: Simplify (+ 0 0) into 0
1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.373 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.373 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.373 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.373 * [taylor]: Taking taylor expansion of 1/4 in U
1.373 * [backup-simplify]: Simplify 1/4 into 1/4
1.373 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.373 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.373 * [taylor]: Taking taylor expansion of U in U
1.373 * [backup-simplify]: Simplify 0 into 0
1.373 * [backup-simplify]: Simplify 1 into 1
1.373 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.373 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.373 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.373 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.373 * [taylor]: Taking taylor expansion of 1/2 in U
1.373 * [backup-simplify]: Simplify 1/2 into 1/2
1.373 * [taylor]: Taking taylor expansion of K in U
1.373 * [backup-simplify]: Simplify K into K
1.374 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.374 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.374 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.374 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.374 * [backup-simplify]: Simplify (- 0) into 0
1.374 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.374 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.374 * [taylor]: Taking taylor expansion of J in U
1.374 * [backup-simplify]: Simplify J into J
1.375 * [backup-simplify]: Simplify (* 1 1) into 1
1.375 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.375 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.375 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.375 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.375 * [taylor]: Taking taylor expansion of 1 in U
1.375 * [backup-simplify]: Simplify 1 into 1
1.376 * [backup-simplify]: Simplify (+ 0 1) into 1
1.376 * [backup-simplify]: Simplify (sqrt 1) into 1
1.376 * [backup-simplify]: Simplify (+ 0 0) into 0
1.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.377 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.377 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.377 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.377 * [taylor]: Taking taylor expansion of 1/4 in U
1.377 * [backup-simplify]: Simplify 1/4 into 1/4
1.377 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.377 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.377 * [taylor]: Taking taylor expansion of U in U
1.377 * [backup-simplify]: Simplify 0 into 0
1.378 * [backup-simplify]: Simplify 1 into 1
1.378 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.378 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.378 * [taylor]: Taking taylor expansion of 1/2 in U
1.378 * [backup-simplify]: Simplify 1/2 into 1/2
1.378 * [taylor]: Taking taylor expansion of K in U
1.378 * [backup-simplify]: Simplify K into K
1.378 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.378 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.378 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.378 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.378 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.378 * [backup-simplify]: Simplify (- 0) into 0
1.379 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.379 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.379 * [taylor]: Taking taylor expansion of J in U
1.379 * [backup-simplify]: Simplify J into J
1.379 * [backup-simplify]: Simplify (* 1 1) into 1
1.379 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.379 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.379 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.379 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.380 * [taylor]: Taking taylor expansion of 1 in U
1.380 * [backup-simplify]: Simplify 1 into 1
1.380 * [backup-simplify]: Simplify (+ 0 1) into 1
1.380 * [backup-simplify]: Simplify (sqrt 1) into 1
1.381 * [backup-simplify]: Simplify (+ 0 0) into 0
1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.382 * [taylor]: Taking taylor expansion of 1 in J
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [taylor]: Taking taylor expansion of 0 in J
1.382 * [backup-simplify]: Simplify 0 into 0
1.382 * [taylor]: Taking taylor expansion of 1 in K
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [backup-simplify]: Simplify 1 into 1
1.382 * [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)))
1.382 * [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))))
1.384 * [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)))
1.384 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.384 * [taylor]: Taking taylor expansion of 1/8 in J
1.384 * [backup-simplify]: Simplify 1/8 into 1/8
1.384 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.384 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.384 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.384 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.384 * [taylor]: Taking taylor expansion of 1/2 in J
1.384 * [backup-simplify]: Simplify 1/2 into 1/2
1.384 * [taylor]: Taking taylor expansion of K in J
1.384 * [backup-simplify]: Simplify K into K
1.384 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.384 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.384 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.384 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.384 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.385 * [backup-simplify]: Simplify (- 0) into 0
1.385 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.385 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.385 * [taylor]: Taking taylor expansion of J in J
1.385 * [backup-simplify]: Simplify 0 into 0
1.385 * [backup-simplify]: Simplify 1 into 1
1.385 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.385 * [backup-simplify]: Simplify (* 1 1) into 1
1.385 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.386 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.387 * [backup-simplify]: Simplify (+ 0) into 0
1.387 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.388 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.389 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.389 * [backup-simplify]: Simplify (- 0) into 0
1.389 * [backup-simplify]: Simplify (+ 0 0) into 0
1.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.390 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.390 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.390 * [taylor]: Taking taylor expansion of 0 in K
1.390 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [taylor]: Taking taylor expansion of 0 in K
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [taylor]: Taking taylor expansion of 0 in K
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify 0 into 0
1.391 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.392 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.392 * [backup-simplify]: Simplify (+ 0) into 0
1.392 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.394 * [backup-simplify]: Simplify (- 0) into 0
1.394 * [backup-simplify]: Simplify (+ 0 0) into 0
1.394 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.394 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.395 * [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
1.395 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.395 * [backup-simplify]: Simplify (+ 0 0) into 0
1.396 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.396 * [taylor]: Taking taylor expansion of 0 in J
1.396 * [backup-simplify]: Simplify 0 into 0
1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.397 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.398 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.398 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.399 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.399 * [backup-simplify]: Simplify (- 0) into 0
1.399 * [backup-simplify]: Simplify (+ 0 0) into 0
1.399 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.400 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.400 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.400 * [taylor]: Taking taylor expansion of 0 in K
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [taylor]: Taking taylor expansion of 0 in K
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 0 into 0
1.400 * [backup-simplify]: Simplify 1 into 1
1.400 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
1.400 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
1.400 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.401 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.401 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.401 * [taylor]: Taking taylor expansion of 1/4 in K
1.401 * [backup-simplify]: Simplify 1/4 into 1/4
1.401 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.401 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.401 * [taylor]: Taking taylor expansion of J in K
1.401 * [backup-simplify]: Simplify J into J
1.401 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.401 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.401 * [taylor]: Taking taylor expansion of U in K
1.401 * [backup-simplify]: Simplify U into U
1.401 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.401 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.401 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.401 * [taylor]: Taking taylor expansion of 1/2 in K
1.401 * [backup-simplify]: Simplify 1/2 into 1/2
1.401 * [taylor]: Taking taylor expansion of K in K
1.401 * [backup-simplify]: Simplify 0 into 0
1.401 * [backup-simplify]: Simplify 1 into 1
1.401 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.401 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.401 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.401 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.401 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.401 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.402 * [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)))
1.402 * [taylor]: Taking taylor expansion of 1 in K
1.402 * [backup-simplify]: Simplify 1 into 1
1.402 * [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))))
1.402 * [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)
1.402 * [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))
1.402 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.402 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.402 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.402 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.403 * [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
1.403 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.403 * [backup-simplify]: Simplify (+ 0 0) into 0
1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.404 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.404 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.404 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.404 * [taylor]: Taking taylor expansion of 1/4 in J
1.404 * [backup-simplify]: Simplify 1/4 into 1/4
1.404 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.404 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.404 * [taylor]: Taking taylor expansion of J in J
1.404 * [backup-simplify]: Simplify 0 into 0
1.404 * [backup-simplify]: Simplify 1 into 1
1.404 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.404 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.404 * [taylor]: Taking taylor expansion of U in J
1.404 * [backup-simplify]: Simplify U into U
1.404 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.404 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.404 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.404 * [taylor]: Taking taylor expansion of 1/2 in J
1.404 * [backup-simplify]: Simplify 1/2 into 1/2
1.404 * [taylor]: Taking taylor expansion of K in J
1.404 * [backup-simplify]: Simplify K into K
1.404 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.404 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.404 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.404 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.404 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.404 * [backup-simplify]: Simplify (- 0) into 0
1.404 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.405 * [backup-simplify]: Simplify (* 1 1) into 1
1.405 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.405 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.405 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.405 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.405 * [taylor]: Taking taylor expansion of 1 in J
1.405 * [backup-simplify]: Simplify 1 into 1
1.405 * [backup-simplify]: Simplify (+ 0 1) into 1
1.406 * [backup-simplify]: Simplify (sqrt 1) into 1
1.406 * [backup-simplify]: Simplify (+ 0 0) into 0
1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.406 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.406 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.406 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.406 * [taylor]: Taking taylor expansion of 1/4 in U
1.406 * [backup-simplify]: Simplify 1/4 into 1/4
1.406 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.406 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.406 * [taylor]: Taking taylor expansion of J in U
1.406 * [backup-simplify]: Simplify J into J
1.406 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.406 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.406 * [taylor]: Taking taylor expansion of U in U
1.406 * [backup-simplify]: Simplify 0 into 0
1.406 * [backup-simplify]: Simplify 1 into 1
1.407 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.407 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.407 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.407 * [taylor]: Taking taylor expansion of 1/2 in U
1.407 * [backup-simplify]: Simplify 1/2 into 1/2
1.407 * [taylor]: Taking taylor expansion of K in U
1.407 * [backup-simplify]: Simplify K into K
1.407 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.407 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.407 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.407 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.407 * [backup-simplify]: Simplify (- 0) into 0
1.407 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.407 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.407 * [backup-simplify]: Simplify (* 1 1) into 1
1.407 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.408 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.408 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.408 * [taylor]: Taking taylor expansion of 1 in U
1.408 * [backup-simplify]: Simplify 1 into 1
1.408 * [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)))
1.408 * [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)))
1.408 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.408 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.408 * [backup-simplify]: Simplify (+ 0) into 0
1.409 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.409 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.409 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.410 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.410 * [backup-simplify]: Simplify (- 0) into 0
1.410 * [backup-simplify]: Simplify (+ 0 0) into 0
1.410 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.411 * [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
1.411 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.412 * [backup-simplify]: Simplify (+ 0 0) into 0
1.412 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.412 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.412 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.412 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.412 * [taylor]: Taking taylor expansion of 1/4 in U
1.412 * [backup-simplify]: Simplify 1/4 into 1/4
1.412 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.412 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.412 * [taylor]: Taking taylor expansion of J in U
1.412 * [backup-simplify]: Simplify J into J
1.412 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.412 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.412 * [taylor]: Taking taylor expansion of U in U
1.412 * [backup-simplify]: Simplify 0 into 0
1.412 * [backup-simplify]: Simplify 1 into 1
1.412 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.412 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.412 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.412 * [taylor]: Taking taylor expansion of 1/2 in U
1.412 * [backup-simplify]: Simplify 1/2 into 1/2
1.412 * [taylor]: Taking taylor expansion of K in U
1.412 * [backup-simplify]: Simplify K into K
1.412 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.412 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.412 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.412 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.412 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.413 * [backup-simplify]: Simplify (- 0) into 0
1.413 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.413 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.413 * [backup-simplify]: Simplify (* 1 1) into 1
1.413 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.413 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.413 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.413 * [taylor]: Taking taylor expansion of 1 in U
1.413 * [backup-simplify]: Simplify 1 into 1
1.413 * [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)))
1.414 * [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)))
1.414 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.414 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.414 * [backup-simplify]: Simplify (+ 0) into 0
1.414 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.414 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.415 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.415 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.415 * [backup-simplify]: Simplify (- 0) into 0
1.416 * [backup-simplify]: Simplify (+ 0 0) into 0
1.416 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.418 * [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
1.419 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.419 * [backup-simplify]: Simplify (+ 0 0) into 0
1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.419 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
1.419 * [taylor]: Taking taylor expansion of 1/2 in J
1.419 * [backup-simplify]: Simplify 1/2 into 1/2
1.419 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
1.419 * [taylor]: Taking taylor expansion of J in J
1.419 * [backup-simplify]: Simplify 0 into 0
1.419 * [backup-simplify]: Simplify 1 into 1
1.419 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.419 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.419 * [taylor]: Taking taylor expansion of 1/2 in J
1.419 * [backup-simplify]: Simplify 1/2 into 1/2
1.419 * [taylor]: Taking taylor expansion of K in J
1.420 * [backup-simplify]: Simplify K into K
1.420 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.420 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.420 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.420 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.420 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.420 * [backup-simplify]: Simplify (- 0) into 0
1.420 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.420 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.420 * [taylor]: Taking taylor expansion of 0 in J
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [taylor]: Taking taylor expansion of 0 in K
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
1.420 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
1.420 * [taylor]: Taking taylor expansion of 1/2 in K
1.420 * [backup-simplify]: Simplify 1/2 into 1/2
1.420 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.420 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.420 * [taylor]: Taking taylor expansion of 1/2 in K
1.420 * [backup-simplify]: Simplify 1/2 into 1/2
1.420 * [taylor]: Taking taylor expansion of K in K
1.420 * [backup-simplify]: Simplify 0 into 0
1.420 * [backup-simplify]: Simplify 1 into 1
1.421 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.421 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.421 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.421 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.421 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.422 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.422 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.423 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.423 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.424 * [backup-simplify]: Simplify (- 0) into 0
1.424 * [backup-simplify]: Simplify (+ 0 0) into 0
1.424 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.425 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.426 * [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
1.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.427 * [backup-simplify]: Simplify (+ 0 1) into 1
1.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
1.428 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.428 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.428 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.428 * [taylor]: Taking taylor expansion of 1/2 in J
1.428 * [backup-simplify]: Simplify 1/2 into 1/2
1.428 * [taylor]: Taking taylor expansion of K in J
1.428 * [backup-simplify]: Simplify K into K
1.429 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.429 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.429 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.429 * [taylor]: Taking taylor expansion of J in J
1.429 * [backup-simplify]: Simplify 0 into 0
1.429 * [backup-simplify]: Simplify 1 into 1
1.429 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.429 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.429 * [backup-simplify]: Simplify (- 0) into 0
1.429 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.429 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.430 * [backup-simplify]: Simplify (+ 0) into 0
1.430 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.430 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.431 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.432 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.432 * [backup-simplify]: Simplify (- 0) into 0
1.432 * [backup-simplify]: Simplify (+ 0 0) into 0
1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.433 * [taylor]: Taking taylor expansion of 0 in K
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [backup-simplify]: Simplify 0 into 0
1.433 * [taylor]: Taking taylor expansion of 0 in K
1.433 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify 0 into 0
1.434 * [backup-simplify]: Simplify (+ 0) into 0
1.434 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.435 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.435 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.436 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.436 * [backup-simplify]: Simplify (- 0) into 0
1.436 * [backup-simplify]: Simplify (+ 0 0) into 0
1.437 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.437 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.437 * [taylor]: Taking taylor expansion of 0 in K
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 0 into 0
1.437 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.438 * [backup-simplify]: Simplify 0 into 0
1.438 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.439 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.440 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.440 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.442 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.443 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.443 * [backup-simplify]: Simplify (- 0) into 0
1.443 * [backup-simplify]: Simplify (+ 0 0) into 0
1.445 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.447 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.449 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.449 * [backup-simplify]: Simplify (+ 0 0) into 0
1.449 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
1.449 * [taylor]: Taking taylor expansion of 0 in J
1.449 * [backup-simplify]: Simplify 0 into 0
1.450 * [taylor]: Taking taylor expansion of 0 in K
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify 0 into 0
1.450 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
1.450 * [backup-simplify]: Simplify (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
1.450 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
1.450 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.450 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.450 * [taylor]: Taking taylor expansion of 1 in K
1.450 * [backup-simplify]: Simplify 1 into 1
1.450 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.451 * [taylor]: Taking taylor expansion of 1/4 in K
1.451 * [backup-simplify]: Simplify 1/4 into 1/4
1.451 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.451 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.451 * [taylor]: Taking taylor expansion of J in K
1.451 * [backup-simplify]: Simplify J into J
1.451 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.451 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.451 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.451 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.451 * [taylor]: Taking taylor expansion of -1/2 in K
1.451 * [backup-simplify]: Simplify -1/2 into -1/2
1.451 * [taylor]: Taking taylor expansion of K in K
1.451 * [backup-simplify]: Simplify 0 into 0
1.451 * [backup-simplify]: Simplify 1 into 1
1.451 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.451 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.451 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.451 * [taylor]: Taking taylor expansion of U in K
1.452 * [backup-simplify]: Simplify U into U
1.452 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.452 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.452 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.452 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.452 * [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)))
1.452 * [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))))
1.453 * [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)))))
1.453 * [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))))))
1.453 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.453 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.454 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.454 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.454 * [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
1.455 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.456 * [backup-simplify]: Simplify (+ 0 0) into 0
1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.456 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.456 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.456 * [taylor]: Taking taylor expansion of 1 in J
1.456 * [backup-simplify]: Simplify 1 into 1
1.456 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.456 * [taylor]: Taking taylor expansion of 1/4 in J
1.456 * [backup-simplify]: Simplify 1/4 into 1/4
1.456 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.456 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.456 * [taylor]: Taking taylor expansion of J in J
1.456 * [backup-simplify]: Simplify 0 into 0
1.456 * [backup-simplify]: Simplify 1 into 1
1.456 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.456 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.457 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.457 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.457 * [taylor]: Taking taylor expansion of -1/2 in J
1.457 * [backup-simplify]: Simplify -1/2 into -1/2
1.457 * [taylor]: Taking taylor expansion of K in J
1.457 * [backup-simplify]: Simplify K into K
1.457 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.457 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.457 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.457 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.457 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.457 * [backup-simplify]: Simplify (- 0) into 0
1.458 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.458 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.458 * [taylor]: Taking taylor expansion of U in J
1.458 * [backup-simplify]: Simplify U into U
1.458 * [backup-simplify]: Simplify (* 1 1) into 1
1.458 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.458 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.458 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.459 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.459 * [backup-simplify]: Simplify (+ 1 0) into 1
1.459 * [backup-simplify]: Simplify (sqrt 1) into 1
1.460 * [backup-simplify]: Simplify (+ 0 0) into 0
1.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.461 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.461 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.461 * [taylor]: Taking taylor expansion of 1 in U
1.461 * [backup-simplify]: Simplify 1 into 1
1.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.461 * [taylor]: Taking taylor expansion of 1/4 in U
1.461 * [backup-simplify]: Simplify 1/4 into 1/4
1.461 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.461 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.461 * [taylor]: Taking taylor expansion of J in U
1.461 * [backup-simplify]: Simplify J into J
1.461 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.461 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.461 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.461 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.461 * [taylor]: Taking taylor expansion of -1/2 in U
1.461 * [backup-simplify]: Simplify -1/2 into -1/2
1.461 * [taylor]: Taking taylor expansion of K in U
1.461 * [backup-simplify]: Simplify K into K
1.461 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.461 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.461 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.462 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.462 * [backup-simplify]: Simplify (- 0) into 0
1.462 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.462 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.462 * [taylor]: Taking taylor expansion of U in U
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify 1 into 1
1.462 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.462 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.463 * [backup-simplify]: Simplify (* 1 1) into 1
1.463 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.463 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.463 * [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)))
1.464 * [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)))
1.464 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.464 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.465 * [backup-simplify]: Simplify (+ 0) into 0
1.466 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.467 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.467 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.467 * [backup-simplify]: Simplify (- 0) into 0
1.468 * [backup-simplify]: Simplify (+ 0 0) into 0
1.468 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.468 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.469 * [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
1.469 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.470 * [backup-simplify]: Simplify (+ 0 0) into 0
1.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.470 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.470 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.470 * [taylor]: Taking taylor expansion of 1 in U
1.470 * [backup-simplify]: Simplify 1 into 1
1.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.470 * [taylor]: Taking taylor expansion of 1/4 in U
1.470 * [backup-simplify]: Simplify 1/4 into 1/4
1.470 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.470 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.470 * [taylor]: Taking taylor expansion of J in U
1.470 * [backup-simplify]: Simplify J into J
1.471 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.471 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.471 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.471 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.471 * [taylor]: Taking taylor expansion of -1/2 in U
1.471 * [backup-simplify]: Simplify -1/2 into -1/2
1.471 * [taylor]: Taking taylor expansion of K in U
1.471 * [backup-simplify]: Simplify K into K
1.471 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.471 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.471 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.471 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.471 * [backup-simplify]: Simplify (- 0) into 0
1.472 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.472 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.472 * [taylor]: Taking taylor expansion of U in U
1.472 * [backup-simplify]: Simplify 0 into 0
1.472 * [backup-simplify]: Simplify 1 into 1
1.472 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.472 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.472 * [backup-simplify]: Simplify (* 1 1) into 1
1.472 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.473 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.473 * [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)))
1.473 * [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)))
1.473 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.473 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.474 * [backup-simplify]: Simplify (+ 0) into 0
1.475 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.475 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.476 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.476 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.477 * [backup-simplify]: Simplify (- 0) into 0
1.477 * [backup-simplify]: Simplify (+ 0 0) into 0
1.477 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.478 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.478 * [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
1.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.479 * [backup-simplify]: Simplify (+ 0 0) into 0
1.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.480 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
1.480 * [taylor]: Taking taylor expansion of 1/2 in J
1.480 * [backup-simplify]: Simplify 1/2 into 1/2
1.480 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
1.480 * [taylor]: Taking taylor expansion of J in J
1.480 * [backup-simplify]: Simplify 0 into 0
1.480 * [backup-simplify]: Simplify 1 into 1
1.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.480 * [taylor]: Taking taylor expansion of -1/2 in J
1.480 * [backup-simplify]: Simplify -1/2 into -1/2
1.480 * [taylor]: Taking taylor expansion of K in J
1.480 * [backup-simplify]: Simplify K into K
1.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.481 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.481 * [backup-simplify]: Simplify (- 0) into 0
1.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.481 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
1.481 * [taylor]: Taking taylor expansion of 0 in J
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [taylor]: Taking taylor expansion of 0 in K
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
1.482 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
1.482 * [taylor]: Taking taylor expansion of 1/2 in K
1.482 * [backup-simplify]: Simplify 1/2 into 1/2
1.482 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.482 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.482 * [taylor]: Taking taylor expansion of -1/2 in K
1.482 * [backup-simplify]: Simplify -1/2 into -1/2
1.482 * [taylor]: Taking taylor expansion of K in K
1.482 * [backup-simplify]: Simplify 0 into 0
1.482 * [backup-simplify]: Simplify 1 into 1
1.482 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.482 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.482 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
1.483 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
1.483 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.484 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.485 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.486 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.487 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.487 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.488 * [backup-simplify]: Simplify (- 0) into 0
1.488 * [backup-simplify]: Simplify (+ 0 0) into 0
1.489 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.489 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.490 * [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
1.491 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.491 * [backup-simplify]: Simplify (+ 1 0) into 1
1.492 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
1.492 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.492 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.492 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.492 * [taylor]: Taking taylor expansion of -1/2 in J
1.492 * [backup-simplify]: Simplify -1/2 into -1/2
1.492 * [taylor]: Taking taylor expansion of K in J
1.492 * [backup-simplify]: Simplify K into K
1.492 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.492 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.492 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.492 * [taylor]: Taking taylor expansion of J in J
1.492 * [backup-simplify]: Simplify 0 into 0
1.492 * [backup-simplify]: Simplify 1 into 1
1.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.493 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.493 * [backup-simplify]: Simplify (- 0) into 0
1.493 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.493 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.494 * [backup-simplify]: Simplify (+ 0) into 0
1.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.496 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.496 * [backup-simplify]: Simplify (- 0) into 0
1.496 * [backup-simplify]: Simplify (+ 0 0) into 0
1.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.497 * [taylor]: Taking taylor expansion of 0 in K
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [taylor]: Taking taylor expansion of 0 in K
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 0 into 0
1.498 * [backup-simplify]: Simplify (+ 0) into 0
1.498 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.498 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.499 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.500 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.500 * [backup-simplify]: Simplify (- 0) into 0
1.500 * [backup-simplify]: Simplify (+ 0 0) into 0
1.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
1.501 * [taylor]: Taking taylor expansion of 0 in K
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify 0 into 0
1.501 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.501 * [backup-simplify]: Simplify 0 into 0
1.502 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.504 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.505 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.505 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.507 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.508 * [backup-simplify]: Simplify (- 0) into 0
1.508 * [backup-simplify]: Simplify (+ 0 0) into 0
1.509 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.510 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.511 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.512 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.513 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.513 * [taylor]: Taking taylor expansion of 0 in J
1.513 * [backup-simplify]: Simplify 0 into 0
1.513 * [taylor]: Taking taylor expansion of 0 in K
1.513 * [backup-simplify]: Simplify 0 into 0
1.513 * [backup-simplify]: Simplify 0 into 0
1.513 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
1.513 * * * * [progress]: [ 2 / 4 ] generating series at (2)
1.514 * [backup-simplify]: Simplify (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
1.514 * [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
1.514 * [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
1.514 * [taylor]: Taking taylor expansion of -2 in U
1.514 * [backup-simplify]: Simplify -2 into -2
1.514 * [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
1.514 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.514 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.514 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.514 * [taylor]: Taking taylor expansion of 1/2 in U
1.514 * [backup-simplify]: Simplify 1/2 into 1/2
1.514 * [taylor]: Taking taylor expansion of K in U
1.514 * [backup-simplify]: Simplify K into K
1.514 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.514 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.514 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.514 * [taylor]: Taking taylor expansion of J in U
1.514 * [backup-simplify]: Simplify J into J
1.514 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.514 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.514 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.514 * [taylor]: Taking taylor expansion of 1/4 in U
1.514 * [backup-simplify]: Simplify 1/4 into 1/4
1.514 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.514 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.514 * [taylor]: Taking taylor expansion of U in U
1.514 * [backup-simplify]: Simplify 0 into 0
1.514 * [backup-simplify]: Simplify 1 into 1
1.514 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.515 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.515 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.515 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.515 * [taylor]: Taking taylor expansion of 1/2 in U
1.515 * [backup-simplify]: Simplify 1/2 into 1/2
1.515 * [taylor]: Taking taylor expansion of K in U
1.515 * [backup-simplify]: Simplify K into K
1.515 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.515 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.515 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.515 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.515 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.515 * [backup-simplify]: Simplify (- 0) into 0
1.515 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.516 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.516 * [taylor]: Taking taylor expansion of J in U
1.516 * [backup-simplify]: Simplify J into J
1.516 * [backup-simplify]: Simplify (* 1 1) into 1
1.516 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.516 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.516 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.516 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.517 * [taylor]: Taking taylor expansion of 1 in U
1.517 * [backup-simplify]: Simplify 1 into 1
1.517 * [backup-simplify]: Simplify (+ 0 1) into 1
1.517 * [backup-simplify]: Simplify (sqrt 1) into 1
1.518 * [backup-simplify]: Simplify (+ 0 0) into 0
1.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.519 * [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
1.519 * [taylor]: Taking taylor expansion of -2 in K
1.519 * [backup-simplify]: Simplify -2 into -2
1.519 * [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
1.519 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.519 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.519 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.519 * [taylor]: Taking taylor expansion of 1/2 in K
1.519 * [backup-simplify]: Simplify 1/2 into 1/2
1.519 * [taylor]: Taking taylor expansion of K in K
1.519 * [backup-simplify]: Simplify 0 into 0
1.519 * [backup-simplify]: Simplify 1 into 1
1.520 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.521 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.521 * [taylor]: Taking taylor expansion of J in K
1.521 * [backup-simplify]: Simplify J into J
1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.521 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.521 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.521 * [taylor]: Taking taylor expansion of 1/4 in K
1.521 * [backup-simplify]: Simplify 1/4 into 1/4
1.521 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.521 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.521 * [taylor]: Taking taylor expansion of U in K
1.521 * [backup-simplify]: Simplify U into U
1.521 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.521 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.521 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.521 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.521 * [taylor]: Taking taylor expansion of 1/2 in K
1.521 * [backup-simplify]: Simplify 1/2 into 1/2
1.521 * [taylor]: Taking taylor expansion of K in K
1.521 * [backup-simplify]: Simplify 0 into 0
1.521 * [backup-simplify]: Simplify 1 into 1
1.522 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.522 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.522 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.522 * [taylor]: Taking taylor expansion of J in K
1.522 * [backup-simplify]: Simplify J into J
1.523 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.523 * [backup-simplify]: Simplify (* 1 1) into 1
1.523 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.523 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.523 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.523 * [taylor]: Taking taylor expansion of 1 in K
1.523 * [backup-simplify]: Simplify 1 into 1
1.523 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.524 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.524 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.524 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.524 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.525 * [backup-simplify]: Simplify (+ 0) into 0
1.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.526 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.527 * [backup-simplify]: Simplify (+ 0 0) into 0
1.527 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.527 * [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
1.528 * [taylor]: Taking taylor expansion of -2 in J
1.528 * [backup-simplify]: Simplify -2 into -2
1.528 * [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
1.528 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.528 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.528 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.528 * [taylor]: Taking taylor expansion of 1/2 in J
1.528 * [backup-simplify]: Simplify 1/2 into 1/2
1.528 * [taylor]: Taking taylor expansion of K in J
1.528 * [backup-simplify]: Simplify K into K
1.528 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.528 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.528 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.528 * [taylor]: Taking taylor expansion of J in J
1.528 * [backup-simplify]: Simplify 0 into 0
1.528 * [backup-simplify]: Simplify 1 into 1
1.528 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.528 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.528 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.528 * [taylor]: Taking taylor expansion of 1/4 in J
1.528 * [backup-simplify]: Simplify 1/4 into 1/4
1.528 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.528 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.528 * [taylor]: Taking taylor expansion of U in J
1.528 * [backup-simplify]: Simplify U into U
1.528 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.528 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.528 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.528 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.528 * [taylor]: Taking taylor expansion of 1/2 in J
1.528 * [backup-simplify]: Simplify 1/2 into 1/2
1.528 * [taylor]: Taking taylor expansion of K in J
1.528 * [backup-simplify]: Simplify K into K
1.529 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.529 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.529 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.529 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.529 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.529 * [backup-simplify]: Simplify (- 0) into 0
1.529 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.529 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.529 * [taylor]: Taking taylor expansion of J in J
1.529 * [backup-simplify]: Simplify 0 into 0
1.529 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.530 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.530 * [backup-simplify]: Simplify (* 1 1) into 1
1.530 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.530 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.530 * [taylor]: Taking taylor expansion of 1 in J
1.530 * [backup-simplify]: Simplify 1 into 1
1.531 * [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)))
1.531 * [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)))
1.531 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.531 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.532 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.532 * [backup-simplify]: Simplify (+ 0) into 0
1.533 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.533 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.534 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.534 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.535 * [backup-simplify]: Simplify (- 0) into 0
1.535 * [backup-simplify]: Simplify (+ 0 0) into 0
1.535 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.536 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.536 * [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
1.537 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.537 * [backup-simplify]: Simplify (+ 0 0) into 0
1.538 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.538 * [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
1.538 * [taylor]: Taking taylor expansion of -2 in J
1.538 * [backup-simplify]: Simplify -2 into -2
1.538 * [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
1.538 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.538 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.538 * [taylor]: Taking taylor expansion of 1/2 in J
1.538 * [backup-simplify]: Simplify 1/2 into 1/2
1.538 * [taylor]: Taking taylor expansion of K in J
1.538 * [backup-simplify]: Simplify K into K
1.538 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.538 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.538 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.538 * [taylor]: Taking taylor expansion of J in J
1.538 * [backup-simplify]: Simplify 0 into 0
1.538 * [backup-simplify]: Simplify 1 into 1
1.538 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.538 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.538 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.538 * [taylor]: Taking taylor expansion of 1/4 in J
1.538 * [backup-simplify]: Simplify 1/4 into 1/4
1.538 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.538 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.538 * [taylor]: Taking taylor expansion of U in J
1.538 * [backup-simplify]: Simplify U into U
1.538 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.539 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.539 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.539 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.539 * [taylor]: Taking taylor expansion of 1/2 in J
1.539 * [backup-simplify]: Simplify 1/2 into 1/2
1.539 * [taylor]: Taking taylor expansion of K in J
1.539 * [backup-simplify]: Simplify K into K
1.539 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.539 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.539 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.539 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.539 * [backup-simplify]: Simplify (- 0) into 0
1.539 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.540 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.540 * [taylor]: Taking taylor expansion of J in J
1.540 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify 1 into 1
1.540 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.540 * [backup-simplify]: Simplify (* 1 1) into 1
1.540 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.540 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.541 * [taylor]: Taking taylor expansion of 1 in J
1.541 * [backup-simplify]: Simplify 1 into 1
1.541 * [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)))
1.541 * [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)))
1.541 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.541 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.542 * [backup-simplify]: Simplify (+ 0) into 0
1.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.543 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.545 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.545 * [backup-simplify]: Simplify (- 0) into 0
1.546 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.546 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.547 * [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
1.547 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.548 * [backup-simplify]: Simplify (+ 0 0) into 0
1.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.548 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.548 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.549 * [backup-simplify]: Simplify (- 0) into 0
1.549 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.549 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.549 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
1.550 * [backup-simplify]: Simplify (* -2 0) into 0
1.550 * [taylor]: Taking taylor expansion of 0 in K
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [taylor]: Taking taylor expansion of 0 in U
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify 0 into 0
1.550 * [backup-simplify]: Simplify (+ 0) into 0
1.551 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.552 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.552 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.553 * [backup-simplify]: Simplify (- 0) into 0
1.553 * [backup-simplify]: Simplify (+ 0 0) into 0
1.554 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.554 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
1.555 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
1.555 * [taylor]: Taking taylor expansion of (- U) in K
1.555 * [taylor]: Taking taylor expansion of U in K
1.555 * [backup-simplify]: Simplify U into U
1.555 * [backup-simplify]: Simplify (- U) into (- U)
1.555 * [taylor]: Taking taylor expansion of (- U) in U
1.555 * [taylor]: Taking taylor expansion of U in U
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 1 into 1
1.555 * [backup-simplify]: Simplify (- 0) into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [taylor]: Taking taylor expansion of 0 in U
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.555 * [backup-simplify]: Simplify 0 into 0
1.556 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
1.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.560 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.561 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.561 * [backup-simplify]: Simplify (- 0) into 0
1.561 * [backup-simplify]: Simplify (+ 0 0) into 0
1.562 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.565 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.565 * [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
1.566 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
1.567 * [backup-simplify]: Simplify (+ 0 1) into 1
1.568 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
1.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.570 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.571 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.571 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.572 * [backup-simplify]: Simplify (- 0) into 0
1.572 * [backup-simplify]: Simplify (+ 0 0) into 0
1.573 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.573 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
1.574 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
1.574 * [taylor]: Taking taylor expansion of 0 in K
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [taylor]: Taking taylor expansion of 0 in U
1.574 * [backup-simplify]: Simplify 0 into 0
1.574 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify (- 0) into 0
1.575 * [taylor]: Taking taylor expansion of 0 in U
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify 0 into 0
1.575 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) (sqrt (+ 1 (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
1.575 * [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
1.575 * [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
1.576 * [taylor]: Taking taylor expansion of -2 in U
1.576 * [backup-simplify]: Simplify -2 into -2
1.576 * [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
1.576 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.576 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.576 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.576 * [taylor]: Taking taylor expansion of 1/4 in U
1.576 * [backup-simplify]: Simplify 1/4 into 1/4
1.576 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.576 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.576 * [taylor]: Taking taylor expansion of J in U
1.576 * [backup-simplify]: Simplify J into J
1.576 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.576 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.576 * [taylor]: Taking taylor expansion of U in U
1.576 * [backup-simplify]: Simplify 0 into 0
1.576 * [backup-simplify]: Simplify 1 into 1
1.576 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.576 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.576 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.576 * [taylor]: Taking taylor expansion of 1/2 in U
1.576 * [backup-simplify]: Simplify 1/2 into 1/2
1.576 * [taylor]: Taking taylor expansion of K in U
1.576 * [backup-simplify]: Simplify K into K
1.576 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.576 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.576 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.576 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.577 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.577 * [backup-simplify]: Simplify (- 0) into 0
1.577 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.577 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.578 * [backup-simplify]: Simplify (* 1 1) into 1
1.578 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.578 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.578 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.578 * [taylor]: Taking taylor expansion of 1 in U
1.578 * [backup-simplify]: Simplify 1 into 1
1.578 * [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)))
1.578 * [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)))
1.579 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.579 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.579 * [backup-simplify]: Simplify (+ 0) into 0
1.580 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.580 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.581 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.581 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.582 * [backup-simplify]: Simplify (- 0) into 0
1.582 * [backup-simplify]: Simplify (+ 0 0) into 0
1.582 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.584 * [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
1.584 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.585 * [backup-simplify]: Simplify (+ 0 0) into 0
1.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.585 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
1.585 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.585 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.585 * [taylor]: Taking taylor expansion of 1/2 in U
1.585 * [backup-simplify]: Simplify 1/2 into 1/2
1.585 * [taylor]: Taking taylor expansion of K in U
1.585 * [backup-simplify]: Simplify K into K
1.585 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.585 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.586 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.586 * [taylor]: Taking taylor expansion of J in U
1.586 * [backup-simplify]: Simplify J into J
1.586 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.586 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.586 * [backup-simplify]: Simplify (- 0) into 0
1.586 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.586 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.586 * [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
1.586 * [taylor]: Taking taylor expansion of -2 in K
1.586 * [backup-simplify]: Simplify -2 into -2
1.586 * [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
1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.587 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.587 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.587 * [taylor]: Taking taylor expansion of 1/4 in K
1.587 * [backup-simplify]: Simplify 1/4 into 1/4
1.587 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.587 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.587 * [taylor]: Taking taylor expansion of J in K
1.587 * [backup-simplify]: Simplify J into J
1.587 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.587 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.587 * [taylor]: Taking taylor expansion of U in K
1.587 * [backup-simplify]: Simplify U into U
1.587 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.587 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.587 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.587 * [taylor]: Taking taylor expansion of 1/2 in K
1.587 * [backup-simplify]: Simplify 1/2 into 1/2
1.587 * [taylor]: Taking taylor expansion of K in K
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 1 into 1
1.588 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.588 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.588 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.588 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.588 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.588 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.588 * [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)))
1.588 * [taylor]: Taking taylor expansion of 1 in K
1.588 * [backup-simplify]: Simplify 1 into 1
1.589 * [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))))
1.589 * [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)
1.589 * [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))
1.589 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.590 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.590 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.590 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.590 * [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
1.591 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.592 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.592 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.592 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.592 * [taylor]: Taking taylor expansion of 1/2 in K
1.592 * [backup-simplify]: Simplify 1/2 into 1/2
1.592 * [taylor]: Taking taylor expansion of K in K
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 1 into 1
1.593 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.593 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.593 * [taylor]: Taking taylor expansion of J in K
1.593 * [backup-simplify]: Simplify J into J
1.593 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.593 * [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
1.593 * [taylor]: Taking taylor expansion of -2 in J
1.593 * [backup-simplify]: Simplify -2 into -2
1.593 * [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
1.593 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.593 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.593 * [taylor]: Taking taylor expansion of 1/4 in J
1.593 * [backup-simplify]: Simplify 1/4 into 1/4
1.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.593 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.594 * [taylor]: Taking taylor expansion of J in J
1.594 * [backup-simplify]: Simplify 0 into 0
1.594 * [backup-simplify]: Simplify 1 into 1
1.594 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.594 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.594 * [taylor]: Taking taylor expansion of U in J
1.594 * [backup-simplify]: Simplify U into U
1.594 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.594 * [taylor]: Taking taylor expansion of 1/2 in J
1.594 * [backup-simplify]: Simplify 1/2 into 1/2
1.594 * [taylor]: Taking taylor expansion of K in J
1.594 * [backup-simplify]: Simplify K into K
1.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.594 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.594 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.595 * [backup-simplify]: Simplify (- 0) into 0
1.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.595 * [backup-simplify]: Simplify (* 1 1) into 1
1.595 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.596 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.596 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.596 * [taylor]: Taking taylor expansion of 1 in J
1.596 * [backup-simplify]: Simplify 1 into 1
1.596 * [backup-simplify]: Simplify (+ 0 1) into 1
1.597 * [backup-simplify]: Simplify (sqrt 1) into 1
1.597 * [backup-simplify]: Simplify (+ 0 0) into 0
1.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.598 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.598 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.598 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.598 * [taylor]: Taking taylor expansion of 1/2 in J
1.598 * [backup-simplify]: Simplify 1/2 into 1/2
1.598 * [taylor]: Taking taylor expansion of K in J
1.598 * [backup-simplify]: Simplify K into K
1.598 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.598 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.598 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.598 * [taylor]: Taking taylor expansion of J in J
1.598 * [backup-simplify]: Simplify 0 into 0
1.598 * [backup-simplify]: Simplify 1 into 1
1.598 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.598 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.599 * [backup-simplify]: Simplify (- 0) into 0
1.599 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.599 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.599 * [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
1.599 * [taylor]: Taking taylor expansion of -2 in J
1.599 * [backup-simplify]: Simplify -2 into -2
1.599 * [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
1.599 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.599 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.599 * [taylor]: Taking taylor expansion of 1/4 in J
1.599 * [backup-simplify]: Simplify 1/4 into 1/4
1.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.599 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.599 * [taylor]: Taking taylor expansion of J in J
1.599 * [backup-simplify]: Simplify 0 into 0
1.599 * [backup-simplify]: Simplify 1 into 1
1.600 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.600 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.600 * [taylor]: Taking taylor expansion of U in J
1.600 * [backup-simplify]: Simplify U into U
1.600 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.600 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.600 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.600 * [taylor]: Taking taylor expansion of 1/2 in J
1.600 * [backup-simplify]: Simplify 1/2 into 1/2
1.600 * [taylor]: Taking taylor expansion of K in J
1.600 * [backup-simplify]: Simplify K into K
1.600 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.600 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.600 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.600 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.601 * [backup-simplify]: Simplify (- 0) into 0
1.601 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.601 * [backup-simplify]: Simplify (* 1 1) into 1
1.601 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.601 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.602 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.602 * [taylor]: Taking taylor expansion of 1 in J
1.602 * [backup-simplify]: Simplify 1 into 1
1.602 * [backup-simplify]: Simplify (+ 0 1) into 1
1.603 * [backup-simplify]: Simplify (sqrt 1) into 1
1.603 * [backup-simplify]: Simplify (+ 0 0) into 0
1.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.604 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.604 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.604 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.604 * [taylor]: Taking taylor expansion of 1/2 in J
1.604 * [backup-simplify]: Simplify 1/2 into 1/2
1.604 * [taylor]: Taking taylor expansion of K in J
1.604 * [backup-simplify]: Simplify K into K
1.604 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.604 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.604 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.604 * [taylor]: Taking taylor expansion of J in J
1.604 * [backup-simplify]: Simplify 0 into 0
1.604 * [backup-simplify]: Simplify 1 into 1
1.604 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.604 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.605 * [backup-simplify]: Simplify (- 0) into 0
1.605 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.605 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.605 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
1.605 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.605 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
1.606 * [taylor]: Taking taylor expansion of -2 in K
1.606 * [backup-simplify]: Simplify -2 into -2
1.606 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.606 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.606 * [taylor]: Taking taylor expansion of 1/2 in K
1.606 * [backup-simplify]: Simplify 1/2 into 1/2
1.606 * [taylor]: Taking taylor expansion of K in K
1.606 * [backup-simplify]: Simplify 0 into 0
1.606 * [backup-simplify]: Simplify 1 into 1
1.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.606 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.606 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.606 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
1.606 * [taylor]: Taking taylor expansion of -2 in U
1.606 * [backup-simplify]: Simplify -2 into -2
1.606 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.606 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.606 * [taylor]: Taking taylor expansion of 1/2 in U
1.606 * [backup-simplify]: Simplify 1/2 into 1/2
1.606 * [taylor]: Taking taylor expansion of K in U
1.606 * [backup-simplify]: Simplify K into K
1.607 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.607 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.607 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.607 * [backup-simplify]: Simplify (+ 0) into 0
1.607 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.608 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.608 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.609 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.609 * [backup-simplify]: Simplify (- 0) into 0
1.609 * [backup-simplify]: Simplify (+ 0 0) into 0
1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
1.611 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.611 * [taylor]: Taking taylor expansion of 0 in K
1.611 * [backup-simplify]: Simplify 0 into 0
1.612 * [taylor]: Taking taylor expansion of 0 in U
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.612 * [taylor]: Taking taylor expansion of 0 in U
1.612 * [backup-simplify]: Simplify 0 into 0
1.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.612 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.613 * [backup-simplify]: Simplify (- 0) into 0
1.613 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.613 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.613 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.614 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.615 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.615 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.616 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.616 * [backup-simplify]: Simplify (- 0) into 0
1.617 * [backup-simplify]: Simplify (+ 0 0) into 0
1.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.618 * [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)))
1.618 * [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))))
1.620 * [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)))
1.621 * [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)))))
1.621 * [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))))))
1.621 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
1.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
1.621 * [taylor]: Taking taylor expansion of 1/4 in K
1.621 * [backup-simplify]: Simplify 1/4 into 1/4
1.621 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
1.621 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
1.622 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.622 * [taylor]: Taking taylor expansion of U in K
1.622 * [backup-simplify]: Simplify U into U
1.622 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.622 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.622 * [taylor]: Taking taylor expansion of 1/2 in K
1.622 * [backup-simplify]: Simplify 1/2 into 1/2
1.622 * [taylor]: Taking taylor expansion of K in K
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.622 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.622 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.622 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
1.622 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
1.623 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
1.623 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
1.623 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
1.623 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
1.623 * [taylor]: Taking taylor expansion of 1/4 in U
1.623 * [backup-simplify]: Simplify 1/4 into 1/4
1.623 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
1.623 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
1.623 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.623 * [taylor]: Taking taylor expansion of U in U
1.623 * [backup-simplify]: Simplify 0 into 0
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.623 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.623 * [taylor]: Taking taylor expansion of 1/2 in U
1.623 * [backup-simplify]: Simplify 1/2 into 1/2
1.623 * [taylor]: Taking taylor expansion of K in U
1.623 * [backup-simplify]: Simplify K into K
1.623 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.623 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.623 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.624 * [backup-simplify]: Simplify (* 1 1) into 1
1.624 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.624 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.624 * [backup-simplify]: Simplify (- 0) into 0
1.624 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.624 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
1.624 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.625 * [backup-simplify]: Simplify (+ 0) into 0
1.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.626 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.627 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.627 * [backup-simplify]: Simplify (- 0) into 0
1.627 * [backup-simplify]: Simplify (+ 0 0) into 0
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
1.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.629 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.629 * [backup-simplify]: Simplify (- 0) into 0
1.629 * [backup-simplify]: Simplify 0 into 0
1.629 * [taylor]: Taking taylor expansion of 0 in U
1.629 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.630 * [taylor]: Taking taylor expansion of 0 in U
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 0 into 0
1.630 * [backup-simplify]: Simplify 0 into 0
1.631 * [backup-simplify]: Simplify (+ 0) into 0
1.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.631 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.632 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.633 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.633 * [backup-simplify]: Simplify (- 0) into 0
1.633 * [backup-simplify]: Simplify (+ 0 0) into 0
1.634 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.634 * [backup-simplify]: Simplify 0 into 0
1.635 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.636 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.637 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.638 * [backup-simplify]: Simplify (- 0) into 0
1.638 * [backup-simplify]: Simplify (+ 0 0) into 0
1.640 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.641 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.641 * [backup-simplify]: Simplify (+ 0) into 0
1.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.642 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.643 * [backup-simplify]: Simplify (- 0) into 0
1.644 * [backup-simplify]: Simplify (+ 0 0) into 0
1.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.644 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.644 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.644 * [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
1.645 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.645 * [backup-simplify]: Simplify (+ 0 0) into 0
1.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
1.647 * [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
1.648 * [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
1.648 * [taylor]: Taking taylor expansion of 0 in K
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [taylor]: Taking taylor expansion of 0 in U
1.648 * [backup-simplify]: Simplify 0 into 0
1.648 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.648 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.649 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
1.649 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
1.649 * [backup-simplify]: Simplify (- 0) into 0
1.649 * [taylor]: Taking taylor expansion of 0 in U
1.649 * [backup-simplify]: Simplify 0 into 0
1.649 * [taylor]: Taking taylor expansion of 0 in U
1.649 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.650 * [taylor]: Taking taylor expansion of 0 in U
1.650 * [backup-simplify]: Simplify 0 into 0
1.651 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.651 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.651 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.652 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.652 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.652 * [backup-simplify]: Simplify (- 0) into 0
1.653 * [backup-simplify]: Simplify (+ 0 0) into 0
1.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
1.654 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
1.655 * [backup-simplify]: Simplify (- 0) into 0
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify 0 into 0
1.655 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
1.655 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) (sqrt (+ 1 (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
1.655 * [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
1.655 * [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
1.655 * [taylor]: Taking taylor expansion of 2 in U
1.655 * [backup-simplify]: Simplify 2 into 2
1.655 * [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
1.655 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
1.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.655 * [taylor]: Taking taylor expansion of -1/2 in U
1.655 * [backup-simplify]: Simplify -1/2 into -1/2
1.655 * [taylor]: Taking taylor expansion of K in U
1.655 * [backup-simplify]: Simplify K into K
1.656 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.656 * [taylor]: Taking taylor expansion of J in U
1.656 * [backup-simplify]: Simplify J into J
1.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.656 * [backup-simplify]: Simplify (- 0) into 0
1.656 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.656 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.656 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.656 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.656 * [taylor]: Taking taylor expansion of 1 in U
1.656 * [backup-simplify]: Simplify 1 into 1
1.656 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.656 * [taylor]: Taking taylor expansion of 1/4 in U
1.656 * [backup-simplify]: Simplify 1/4 into 1/4
1.656 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.656 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.656 * [taylor]: Taking taylor expansion of J in U
1.656 * [backup-simplify]: Simplify J into J
1.656 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.656 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.656 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.656 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.656 * [taylor]: Taking taylor expansion of -1/2 in U
1.656 * [backup-simplify]: Simplify -1/2 into -1/2
1.657 * [taylor]: Taking taylor expansion of K in U
1.657 * [backup-simplify]: Simplify K into K
1.657 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.657 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.657 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.657 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.657 * [backup-simplify]: Simplify (- 0) into 0
1.657 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.657 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.657 * [taylor]: Taking taylor expansion of U in U
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.657 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.657 * [backup-simplify]: Simplify (* 1 1) into 1
1.658 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.658 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.658 * [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)))
1.658 * [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)))
1.658 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.658 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.659 * [backup-simplify]: Simplify (+ 0) into 0
1.659 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.659 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.660 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.660 * [backup-simplify]: Simplify (- 0) into 0
1.660 * [backup-simplify]: Simplify (+ 0 0) into 0
1.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.661 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.661 * [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
1.661 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.662 * [backup-simplify]: Simplify (+ 0 0) into 0
1.662 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.662 * [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
1.662 * [taylor]: Taking taylor expansion of 2 in K
1.662 * [backup-simplify]: Simplify 2 into 2
1.662 * [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
1.662 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.662 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.662 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.662 * [taylor]: Taking taylor expansion of -1/2 in K
1.662 * [backup-simplify]: Simplify -1/2 into -1/2
1.662 * [taylor]: Taking taylor expansion of K in K
1.662 * [backup-simplify]: Simplify 0 into 0
1.662 * [backup-simplify]: Simplify 1 into 1
1.662 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.662 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.662 * [taylor]: Taking taylor expansion of J in K
1.662 * [backup-simplify]: Simplify J into J
1.662 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.662 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.663 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.663 * [taylor]: Taking taylor expansion of 1 in K
1.663 * [backup-simplify]: Simplify 1 into 1
1.663 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.663 * [taylor]: Taking taylor expansion of 1/4 in K
1.663 * [backup-simplify]: Simplify 1/4 into 1/4
1.663 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.663 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.663 * [taylor]: Taking taylor expansion of J in K
1.663 * [backup-simplify]: Simplify J into J
1.663 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.663 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.663 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.663 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.663 * [taylor]: Taking taylor expansion of -1/2 in K
1.663 * [backup-simplify]: Simplify -1/2 into -1/2
1.663 * [taylor]: Taking taylor expansion of K in K
1.663 * [backup-simplify]: Simplify 0 into 0
1.663 * [backup-simplify]: Simplify 1 into 1
1.663 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.663 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.663 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.663 * [taylor]: Taking taylor expansion of U in K
1.663 * [backup-simplify]: Simplify U into U
1.663 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.663 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.663 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.663 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.664 * [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)))
1.664 * [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))))
1.664 * [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)))))
1.664 * [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))))))
1.664 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.664 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.664 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.665 * [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
1.665 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.665 * [backup-simplify]: Simplify (+ 0 0) into 0
1.666 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.666 * [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
1.666 * [taylor]: Taking taylor expansion of 2 in J
1.666 * [backup-simplify]: Simplify 2 into 2
1.666 * [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
1.666 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.666 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.666 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.666 * [taylor]: Taking taylor expansion of -1/2 in J
1.666 * [backup-simplify]: Simplify -1/2 into -1/2
1.666 * [taylor]: Taking taylor expansion of K in J
1.666 * [backup-simplify]: Simplify K into K
1.666 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.666 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.666 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.666 * [taylor]: Taking taylor expansion of J in J
1.666 * [backup-simplify]: Simplify 0 into 0
1.666 * [backup-simplify]: Simplify 1 into 1
1.666 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.666 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.666 * [backup-simplify]: Simplify (- 0) into 0
1.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.667 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.667 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.667 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.667 * [taylor]: Taking taylor expansion of 1 in J
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.667 * [taylor]: Taking taylor expansion of 1/4 in J
1.667 * [backup-simplify]: Simplify 1/4 into 1/4
1.667 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.667 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.667 * [taylor]: Taking taylor expansion of J in J
1.667 * [backup-simplify]: Simplify 0 into 0
1.667 * [backup-simplify]: Simplify 1 into 1
1.667 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.667 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.667 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.667 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.667 * [taylor]: Taking taylor expansion of -1/2 in J
1.667 * [backup-simplify]: Simplify -1/2 into -1/2
1.667 * [taylor]: Taking taylor expansion of K in J
1.667 * [backup-simplify]: Simplify K into K
1.667 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.667 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.667 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.667 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.667 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.667 * [backup-simplify]: Simplify (- 0) into 0
1.667 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.667 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.667 * [taylor]: Taking taylor expansion of U in J
1.667 * [backup-simplify]: Simplify U into U
1.668 * [backup-simplify]: Simplify (* 1 1) into 1
1.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.668 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.668 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.668 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.668 * [backup-simplify]: Simplify (+ 1 0) into 1
1.669 * [backup-simplify]: Simplify (sqrt 1) into 1
1.669 * [backup-simplify]: Simplify (+ 0 0) into 0
1.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.669 * [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
1.669 * [taylor]: Taking taylor expansion of 2 in J
1.669 * [backup-simplify]: Simplify 2 into 2
1.669 * [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
1.669 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.669 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.669 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.669 * [taylor]: Taking taylor expansion of -1/2 in J
1.669 * [backup-simplify]: Simplify -1/2 into -1/2
1.669 * [taylor]: Taking taylor expansion of K in J
1.669 * [backup-simplify]: Simplify K into K
1.669 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.670 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.670 * [taylor]: Taking taylor expansion of J in J
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.670 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.670 * [backup-simplify]: Simplify (- 0) into 0
1.670 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.670 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.670 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.670 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.670 * [taylor]: Taking taylor expansion of 1 in J
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.670 * [taylor]: Taking taylor expansion of 1/4 in J
1.670 * [backup-simplify]: Simplify 1/4 into 1/4
1.670 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.670 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.670 * [taylor]: Taking taylor expansion of J in J
1.670 * [backup-simplify]: Simplify 0 into 0
1.670 * [backup-simplify]: Simplify 1 into 1
1.670 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.670 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.670 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.670 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.670 * [taylor]: Taking taylor expansion of -1/2 in J
1.670 * [backup-simplify]: Simplify -1/2 into -1/2
1.670 * [taylor]: Taking taylor expansion of K in J
1.670 * [backup-simplify]: Simplify K into K
1.670 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.670 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.671 * [backup-simplify]: Simplify (- 0) into 0
1.671 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.671 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.671 * [taylor]: Taking taylor expansion of U in J
1.671 * [backup-simplify]: Simplify U into U
1.671 * [backup-simplify]: Simplify (* 1 1) into 1
1.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.671 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.671 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.672 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.672 * [backup-simplify]: Simplify (+ 1 0) into 1
1.672 * [backup-simplify]: Simplify (sqrt 1) into 1
1.672 * [backup-simplify]: Simplify (+ 0 0) into 0
1.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.673 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.673 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.673 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
1.673 * [taylor]: Taking taylor expansion of 2 in K
1.673 * [backup-simplify]: Simplify 2 into 2
1.673 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.673 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.673 * [taylor]: Taking taylor expansion of -1/2 in K
1.673 * [backup-simplify]: Simplify -1/2 into -1/2
1.673 * [taylor]: Taking taylor expansion of K in K
1.673 * [backup-simplify]: Simplify 0 into 0
1.673 * [backup-simplify]: Simplify 1 into 1
1.673 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.673 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.673 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.673 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
1.673 * [taylor]: Taking taylor expansion of 2 in U
1.673 * [backup-simplify]: Simplify 2 into 2
1.674 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.674 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.674 * [taylor]: Taking taylor expansion of -1/2 in U
1.674 * [backup-simplify]: Simplify -1/2 into -1/2
1.674 * [taylor]: Taking taylor expansion of K in U
1.674 * [backup-simplify]: Simplify K into K
1.674 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.674 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.674 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.674 * [backup-simplify]: Simplify (+ 0) into 0
1.674 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.675 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.675 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.675 * [backup-simplify]: Simplify (- 0) into 0
1.676 * [backup-simplify]: Simplify (+ 0 0) into 0
1.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.676 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.677 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.677 * [taylor]: Taking taylor expansion of 0 in K
1.677 * [backup-simplify]: Simplify 0 into 0
1.677 * [taylor]: Taking taylor expansion of 0 in U
1.677 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.678 * [taylor]: Taking taylor expansion of 0 in U
1.678 * [backup-simplify]: Simplify 0 into 0
1.678 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.678 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.678 * [backup-simplify]: Simplify (- 0) into 0
1.678 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.678 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.678 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.679 * [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)))
1.679 * [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))))
1.680 * [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)))
1.681 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.682 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.683 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.684 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.684 * [backup-simplify]: Simplify (- 0) into 0
1.684 * [backup-simplify]: Simplify (+ 0 0) into 0
1.686 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.687 * [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))))
1.688 * [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))))
1.688 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
1.688 * [taylor]: Taking taylor expansion of 1/4 in K
1.688 * [backup-simplify]: Simplify 1/4 into 1/4
1.688 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
1.688 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
1.688 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.688 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.688 * [taylor]: Taking taylor expansion of -1/2 in K
1.688 * [backup-simplify]: Simplify -1/2 into -1/2
1.688 * [taylor]: Taking taylor expansion of K in K
1.688 * [backup-simplify]: Simplify 0 into 0
1.688 * [backup-simplify]: Simplify 1 into 1
1.688 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.689 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.689 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.689 * [taylor]: Taking taylor expansion of U in K
1.689 * [backup-simplify]: Simplify U into U
1.689 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.689 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
1.689 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
1.689 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
1.689 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
1.689 * [taylor]: Taking taylor expansion of 1/4 in U
1.689 * [backup-simplify]: Simplify 1/4 into 1/4
1.689 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
1.689 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.689 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.689 * [taylor]: Taking taylor expansion of -1/2 in U
1.689 * [backup-simplify]: Simplify -1/2 into -1/2
1.689 * [taylor]: Taking taylor expansion of K in U
1.689 * [backup-simplify]: Simplify K into K
1.690 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.690 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.690 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.690 * [taylor]: Taking taylor expansion of U in U
1.690 * [backup-simplify]: Simplify 0 into 0
1.690 * [backup-simplify]: Simplify 1 into 1
1.690 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.690 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.690 * [backup-simplify]: Simplify (- 0) into 0
1.690 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.691 * [backup-simplify]: Simplify (* 1 1) into 1
1.691 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.691 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
1.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.692 * [backup-simplify]: Simplify (+ 0) into 0
1.693 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.693 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.696 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.697 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.697 * [backup-simplify]: Simplify (- 0) into 0
1.697 * [backup-simplify]: Simplify (+ 0 0) into 0
1.698 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.698 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.698 * [backup-simplify]: Simplify 0 into 0
1.698 * [taylor]: Taking taylor expansion of 0 in U
1.698 * [backup-simplify]: Simplify 0 into 0
1.699 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.699 * [taylor]: Taking taylor expansion of 0 in U
1.699 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify (+ 0) into 0
1.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.701 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.702 * [backup-simplify]: Simplify (- 0) into 0
1.702 * [backup-simplify]: Simplify (+ 0 0) into 0
1.703 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.703 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.704 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.704 * [backup-simplify]: Simplify (+ 0) into 0
1.705 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.705 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.706 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.707 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.707 * [backup-simplify]: Simplify (- 0) into 0
1.707 * [backup-simplify]: Simplify (+ 0 0) into 0
1.707 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.708 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.708 * [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
1.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.709 * [backup-simplify]: Simplify (+ 0 0) into 0
1.710 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
1.711 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.712 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.712 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.714 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.715 * [backup-simplify]: Simplify (- 0) into 0
1.716 * [backup-simplify]: Simplify (+ 0 0) into 0
1.718 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.719 * [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
1.720 * [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
1.720 * [taylor]: Taking taylor expansion of 0 in K
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [taylor]: Taking taylor expansion of 0 in U
1.720 * [backup-simplify]: Simplify 0 into 0
1.720 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.720 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
1.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
1.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
1.721 * [taylor]: Taking taylor expansion of 0 in U
1.721 * [backup-simplify]: Simplify 0 into 0
1.721 * [taylor]: Taking taylor expansion of 0 in U
1.721 * [backup-simplify]: Simplify 0 into 0
1.723 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.723 * [taylor]: Taking taylor expansion of 0 in U
1.723 * [backup-simplify]: Simplify 0 into 0
1.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.726 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.727 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.727 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.728 * [backup-simplify]: Simplify (- 0) into 0
1.728 * [backup-simplify]: Simplify (+ 0 0) into 0
1.729 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.729 * [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
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
1.730 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.730 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2)
1.730 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0
1.730 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K
1.730 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K
1.730 * [taylor]: Taking taylor expansion of 1/2 in K
1.730 * [backup-simplify]: Simplify 1/2 into 1/2
1.730 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K
1.730 * [taylor]: Taking taylor expansion of U in K
1.730 * [backup-simplify]: Simplify U into U
1.730 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.730 * [taylor]: Taking taylor expansion of 1/2 in K
1.730 * [backup-simplify]: Simplify 1/2 into 1/2
1.730 * [taylor]: Taking taylor expansion of K in K
1.730 * [backup-simplify]: Simplify 0 into 0
1.730 * [backup-simplify]: Simplify 1 into 1
1.731 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.731 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.731 * [taylor]: Taking taylor expansion of J in K
1.731 * [backup-simplify]: Simplify J into J
1.731 * [backup-simplify]: Simplify (* 1 J) into J
1.731 * [backup-simplify]: Simplify (/ U J) into (/ U J)
1.732 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J))
1.732 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J
1.732 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J
1.732 * [taylor]: Taking taylor expansion of 1/2 in J
1.732 * [backup-simplify]: Simplify 1/2 into 1/2
1.732 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J
1.732 * [taylor]: Taking taylor expansion of U in J
1.732 * [backup-simplify]: Simplify U into U
1.732 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.732 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.732 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.732 * [taylor]: Taking taylor expansion of 1/2 in J
1.732 * [backup-simplify]: Simplify 1/2 into 1/2
1.732 * [taylor]: Taking taylor expansion of K in J
1.732 * [backup-simplify]: Simplify K into K
1.732 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.732 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.732 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.732 * [taylor]: Taking taylor expansion of J in J
1.732 * [backup-simplify]: Simplify 0 into 0
1.732 * [backup-simplify]: Simplify 1 into 1
1.732 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.732 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.733 * [backup-simplify]: Simplify (- 0) into 0
1.733 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.733 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.733 * [backup-simplify]: Simplify (+ 0) into 0
1.734 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.734 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.735 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.735 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.735 * [backup-simplify]: Simplify (- 0) into 0
1.736 * [backup-simplify]: Simplify (+ 0 0) into 0
1.736 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.736 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K)))
1.736 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.736 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U
1.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.736 * [taylor]: Taking taylor expansion of 1/2 in U
1.736 * [backup-simplify]: Simplify 1/2 into 1/2
1.736 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.737 * [taylor]: Taking taylor expansion of U in U
1.737 * [backup-simplify]: Simplify 0 into 0
1.737 * [backup-simplify]: Simplify 1 into 1
1.737 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.737 * [taylor]: Taking taylor expansion of 1/2 in U
1.737 * [backup-simplify]: Simplify 1/2 into 1/2
1.737 * [taylor]: Taking taylor expansion of K in U
1.737 * [backup-simplify]: Simplify K into K
1.737 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.737 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.737 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.737 * [taylor]: Taking taylor expansion of J in U
1.737 * [backup-simplify]: Simplify J into J
1.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.737 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.737 * [backup-simplify]: Simplify (- 0) into 0
1.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.738 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.738 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
1.738 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U
1.738 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.738 * [taylor]: Taking taylor expansion of 1/2 in U
1.738 * [backup-simplify]: Simplify 1/2 into 1/2
1.738 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.738 * [taylor]: Taking taylor expansion of U in U
1.738 * [backup-simplify]: Simplify 0 into 0
1.738 * [backup-simplify]: Simplify 1 into 1
1.738 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.738 * [taylor]: Taking taylor expansion of 1/2 in U
1.738 * [backup-simplify]: Simplify 1/2 into 1/2
1.738 * [taylor]: Taking taylor expansion of K in U
1.738 * [backup-simplify]: Simplify K into K
1.738 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.738 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.738 * [taylor]: Taking taylor expansion of J in U
1.738 * [backup-simplify]: Simplify J into J
1.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.739 * [backup-simplify]: Simplify (- 0) into 0
1.739 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.739 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.739 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
1.740 * [backup-simplify]: Simplify (* (/ 1/2 (* (cos (* 1/2 K)) J)) (/ 1/2 (* (cos (* 1/2 K)) J))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.740 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.740 * [taylor]: Taking taylor expansion of 1/4 in J
1.740 * [backup-simplify]: Simplify 1/4 into 1/4
1.740 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.740 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.740 * [taylor]: Taking taylor expansion of 1/2 in J
1.740 * [backup-simplify]: Simplify 1/2 into 1/2
1.740 * [taylor]: Taking taylor expansion of K in J
1.740 * [backup-simplify]: Simplify K into K
1.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.740 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.740 * [backup-simplify]: Simplify (- 0) into 0
1.741 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.741 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.741 * [taylor]: Taking taylor expansion of J in J
1.741 * [backup-simplify]: Simplify 0 into 0
1.741 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.741 * [backup-simplify]: Simplify (* 1 1) into 1
1.741 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.741 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
1.741 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
1.741 * [taylor]: Taking taylor expansion of 1/4 in K
1.741 * [backup-simplify]: Simplify 1/4 into 1/4
1.741 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.741 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.742 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.742 * [taylor]: Taking taylor expansion of 1/2 in K
1.742 * [backup-simplify]: Simplify 1/2 into 1/2
1.742 * [taylor]: Taking taylor expansion of K in K
1.742 * [backup-simplify]: Simplify 0 into 0
1.742 * [backup-simplify]: Simplify 1 into 1
1.742 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.743 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.743 * [backup-simplify]: Simplify (* 1 1) into 1
1.743 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
1.743 * [backup-simplify]: Simplify 1/4 into 1/4
1.744 * [backup-simplify]: Simplify (+ 0) into 0
1.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.745 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.745 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.746 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.746 * [backup-simplify]: Simplify (- 0) into 0
1.747 * [backup-simplify]: Simplify (+ 0 0) into 0
1.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
1.747 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.748 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0
1.748 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
1.748 * [taylor]: Taking taylor expansion of 0 in J
1.748 * [backup-simplify]: Simplify 0 into 0
1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.749 * [backup-simplify]: Simplify (+ 0) into 0
1.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.750 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.751 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.751 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.752 * [backup-simplify]: Simplify (- 0) into 0
1.752 * [backup-simplify]: Simplify (+ 0 0) into 0
1.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.753 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.753 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.753 * [taylor]: Taking taylor expansion of 0 in K
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify 0 into 0
1.753 * [backup-simplify]: Simplify (+ 0) into 0
1.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
1.755 * [backup-simplify]: Simplify 0 into 0
1.756 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.757 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.758 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.759 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.759 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.760 * [backup-simplify]: Simplify (- 0) into 0
1.760 * [backup-simplify]: Simplify (+ 0 0) into 0
1.760 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
1.761 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0
1.762 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
1.762 * [taylor]: Taking taylor expansion of 0 in J
1.762 * [backup-simplify]: Simplify 0 into 0
1.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.764 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.765 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.766 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.767 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.767 * [backup-simplify]: Simplify (- 0) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.768 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.769 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.769 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.770 * [taylor]: Taking taylor expansion of 0 in K
1.770 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify 0 into 0
1.770 * [backup-simplify]: Simplify 0 into 0
1.771 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.772 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
1.773 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
1.773 * [backup-simplify]: Simplify 1/16 into 1/16
1.774 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.776 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.777 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.778 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.778 * [backup-simplify]: Simplify (- 0) into 0
1.778 * [backup-simplify]: Simplify (+ 0 0) into 0
1.779 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.780 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.781 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0
1.782 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))))) into 0
1.782 * [taylor]: Taking taylor expansion of 0 in J
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [taylor]: Taking taylor expansion of 0 in K
1.782 * [backup-simplify]: Simplify 0 into 0
1.782 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.784 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.788 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.788 * [backup-simplify]: Simplify (- 0) into 0
1.788 * [backup-simplify]: Simplify (+ 0 0) into 0
1.789 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
1.789 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.790 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
1.790 * [taylor]: Taking taylor expansion of 0 in K
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.791 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
1.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
1.793 * [backup-simplify]: Simplify 0 into 0
1.794 * [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
1.795 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.796 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
1.797 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.797 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.798 * [backup-simplify]: Simplify (- 0) into 0
1.798 * [backup-simplify]: Simplify (+ 0 0) into 0
1.799 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
1.799 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))) (* 0 (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0
1.801 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))))) into 0
1.801 * [taylor]: Taking taylor expansion of 0 in J
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [taylor]: Taking taylor expansion of 0 in K
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify 0 into 0
1.801 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
1.801 * [backup-simplify]: Simplify (pow (/ (/ 1 U) (* (* 2 (/ 1 J)) (cos (/ (/ 1 K) 2)))) 2) into (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2)
1.801 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0
1.801 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K
1.801 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K
1.801 * [taylor]: Taking taylor expansion of 1/2 in K
1.801 * [backup-simplify]: Simplify 1/2 into 1/2
1.801 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K
1.802 * [taylor]: Taking taylor expansion of J in K
1.802 * [backup-simplify]: Simplify J into J
1.802 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K
1.802 * [taylor]: Taking taylor expansion of U in K
1.802 * [backup-simplify]: Simplify U into U
1.802 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.802 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.802 * [taylor]: Taking taylor expansion of 1/2 in K
1.802 * [backup-simplify]: Simplify 1/2 into 1/2
1.802 * [taylor]: Taking taylor expansion of K in K
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.802 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.802 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.802 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K))))
1.802 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
1.802 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J
1.802 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J
1.802 * [taylor]: Taking taylor expansion of 1/2 in J
1.802 * [backup-simplify]: Simplify 1/2 into 1/2
1.802 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J
1.802 * [taylor]: Taking taylor expansion of J in J
1.802 * [backup-simplify]: Simplify 0 into 0
1.802 * [backup-simplify]: Simplify 1 into 1
1.802 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J
1.802 * [taylor]: Taking taylor expansion of U in J
1.802 * [backup-simplify]: Simplify U into U
1.802 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.802 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.802 * [taylor]: Taking taylor expansion of 1/2 in J
1.802 * [backup-simplify]: Simplify 1/2 into 1/2
1.802 * [taylor]: Taking taylor expansion of K in J
1.802 * [backup-simplify]: Simplify K into K
1.803 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.803 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.803 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.803 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.803 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.803 * [backup-simplify]: Simplify (- 0) into 0
1.803 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.803 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.803 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K))))
1.803 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K))))
1.803 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U
1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U
1.803 * [taylor]: Taking taylor expansion of 1/2 in U
1.803 * [backup-simplify]: Simplify 1/2 into 1/2
1.803 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U
1.803 * [taylor]: Taking taylor expansion of J in U
1.803 * [backup-simplify]: Simplify J into J
1.803 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U
1.803 * [taylor]: Taking taylor expansion of U in U
1.803 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify 1 into 1
1.803 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.803 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.803 * [taylor]: Taking taylor expansion of 1/2 in U
1.803 * [backup-simplify]: Simplify 1/2 into 1/2
1.803 * [taylor]: Taking taylor expansion of K in U
1.804 * [backup-simplify]: Simplify K into K
1.804 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.804 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.804 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.804 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.804 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.804 * [backup-simplify]: Simplify (- 0) into 0
1.804 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.804 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0
1.804 * [backup-simplify]: Simplify (+ 0) into 0
1.805 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.805 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.806 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.806 * [backup-simplify]: Simplify (- 0) into 0
1.806 * [backup-simplify]: Simplify (+ 0 0) into 0
1.807 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K))
1.807 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.807 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.807 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U
1.807 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U
1.807 * [taylor]: Taking taylor expansion of 1/2 in U
1.807 * [backup-simplify]: Simplify 1/2 into 1/2
1.807 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U
1.807 * [taylor]: Taking taylor expansion of J in U
1.807 * [backup-simplify]: Simplify J into J
1.807 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U
1.807 * [taylor]: Taking taylor expansion of U in U
1.807 * [backup-simplify]: Simplify 0 into 0
1.807 * [backup-simplify]: Simplify 1 into 1
1.807 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.807 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.807 * [taylor]: Taking taylor expansion of 1/2 in U
1.807 * [backup-simplify]: Simplify 1/2 into 1/2
1.807 * [taylor]: Taking taylor expansion of K in U
1.807 * [backup-simplify]: Simplify K into K
1.807 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.807 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.807 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.807 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.808 * [backup-simplify]: Simplify (- 0) into 0
1.808 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.808 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0
1.808 * [backup-simplify]: Simplify (+ 0) into 0
1.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.808 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.809 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.809 * [backup-simplify]: Simplify (- 0) into 0
1.810 * [backup-simplify]: Simplify (+ 0 0) into 0
1.810 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K))
1.810 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.810 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.810 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ 1/2 K)))) (* 1/2 (/ J (cos (/ 1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.810 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
1.810 * [taylor]: Taking taylor expansion of 1/4 in J
1.810 * [backup-simplify]: Simplify 1/4 into 1/4
1.810 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
1.810 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.810 * [taylor]: Taking taylor expansion of J in J
1.810 * [backup-simplify]: Simplify 0 into 0
1.810 * [backup-simplify]: Simplify 1 into 1
1.810 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.810 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.810 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.810 * [taylor]: Taking taylor expansion of 1/2 in J
1.810 * [backup-simplify]: Simplify 1/2 into 1/2
1.810 * [taylor]: Taking taylor expansion of K in J
1.810 * [backup-simplify]: Simplify K into K
1.811 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.811 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.811 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.811 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.811 * [backup-simplify]: Simplify (- 0) into 0
1.811 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.811 * [backup-simplify]: Simplify (* 1 1) into 1
1.811 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.812 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
1.812 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.812 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
1.812 * [taylor]: Taking taylor expansion of 1/4 in K
1.812 * [backup-simplify]: Simplify 1/4 into 1/4
1.812 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.812 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.812 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.812 * [taylor]: Taking taylor expansion of 1/2 in K
1.812 * [backup-simplify]: Simplify 1/2 into 1/2
1.812 * [taylor]: Taking taylor expansion of K in K
1.812 * [backup-simplify]: Simplify 0 into 0
1.812 * [backup-simplify]: Simplify 1 into 1
1.812 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.812 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.812 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.812 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.812 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.813 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.813 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.814 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.814 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.814 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.815 * [backup-simplify]: Simplify (- 0) into 0
1.815 * [backup-simplify]: Simplify (+ 0 0) into 0
1.815 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0
1.816 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
1.816 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
1.816 * [taylor]: Taking taylor expansion of 0 in J
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [taylor]: Taking taylor expansion of 0 in K
1.816 * [backup-simplify]: Simplify 0 into 0
1.816 * [backup-simplify]: Simplify 0 into 0
1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (+ 0) into 0
1.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.818 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.818 * [backup-simplify]: Simplify (- 0) into 0
1.819 * [backup-simplify]: Simplify (+ 0 0) into 0
1.819 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.819 * [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
1.821 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
1.821 * [taylor]: Taking taylor expansion of 0 in K
1.821 * [backup-simplify]: Simplify 0 into 0
1.821 * [backup-simplify]: Simplify 0 into 0
1.822 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.822 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.822 * [backup-simplify]: Simplify 0 into 0
1.823 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.824 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.824 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.826 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.827 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.827 * [backup-simplify]: Simplify (- 0) into 0
1.827 * [backup-simplify]: Simplify (+ 0 0) into 0
1.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.829 * [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
1.830 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
1.830 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
1.830 * [taylor]: Taking taylor expansion of 0 in J
1.830 * [backup-simplify]: Simplify 0 into 0
1.831 * [taylor]: Taking taylor expansion of 0 in K
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [taylor]: Taking taylor expansion of 0 in K
1.831 * [backup-simplify]: Simplify 0 into 0
1.831 * [backup-simplify]: Simplify 0 into 0
1.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.833 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.834 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.835 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.835 * [backup-simplify]: Simplify (- 0) into 0
1.836 * [backup-simplify]: Simplify (+ 0 0) into 0
1.836 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.837 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
1.838 * [taylor]: Taking taylor expansion of 0 in K
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify 0 into 0
1.838 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.838 * [backup-simplify]: Simplify (pow (/ (/ 1 (- U)) (* (* 2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2)))) 2) into (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2)
1.838 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0
1.838 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K
1.838 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K
1.838 * [taylor]: Taking taylor expansion of 1/2 in K
1.838 * [backup-simplify]: Simplify 1/2 into 1/2
1.838 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K
1.838 * [taylor]: Taking taylor expansion of J in K
1.839 * [backup-simplify]: Simplify J into J
1.839 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K
1.839 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.839 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.839 * [taylor]: Taking taylor expansion of -1/2 in K
1.839 * [backup-simplify]: Simplify -1/2 into -1/2
1.839 * [taylor]: Taking taylor expansion of K in K
1.839 * [backup-simplify]: Simplify 0 into 0
1.839 * [backup-simplify]: Simplify 1 into 1
1.839 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.839 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.839 * [taylor]: Taking taylor expansion of U in K
1.839 * [backup-simplify]: Simplify U into U
1.839 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
1.840 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U))
1.840 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
1.840 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J
1.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J
1.840 * [taylor]: Taking taylor expansion of 1/2 in J
1.840 * [backup-simplify]: Simplify 1/2 into 1/2
1.840 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J
1.840 * [taylor]: Taking taylor expansion of J in J
1.840 * [backup-simplify]: Simplify 0 into 0
1.840 * [backup-simplify]: Simplify 1 into 1
1.840 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J
1.840 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.840 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.840 * [taylor]: Taking taylor expansion of -1/2 in J
1.840 * [backup-simplify]: Simplify -1/2 into -1/2
1.840 * [taylor]: Taking taylor expansion of K in J
1.840 * [backup-simplify]: Simplify K into K
1.840 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.840 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.840 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.840 * [taylor]: Taking taylor expansion of U in J
1.840 * [backup-simplify]: Simplify U into U
1.840 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.841 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.841 * [backup-simplify]: Simplify (- 0) into 0
1.841 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.841 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
1.841 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U))
1.841 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
1.841 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U
1.841 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
1.842 * [taylor]: Taking taylor expansion of 1/2 in U
1.842 * [backup-simplify]: Simplify 1/2 into 1/2
1.842 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
1.842 * [taylor]: Taking taylor expansion of J in U
1.842 * [backup-simplify]: Simplify J into J
1.842 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
1.842 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.842 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.842 * [taylor]: Taking taylor expansion of -1/2 in U
1.842 * [backup-simplify]: Simplify -1/2 into -1/2
1.842 * [taylor]: Taking taylor expansion of K in U
1.842 * [backup-simplify]: Simplify K into K
1.842 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.842 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.842 * [taylor]: Taking taylor expansion of U in U
1.842 * [backup-simplify]: Simplify 0 into 0
1.842 * [backup-simplify]: Simplify 1 into 1
1.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.843 * [backup-simplify]: Simplify (- 0) into 0
1.843 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.843 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
1.843 * [backup-simplify]: Simplify (+ 0) into 0
1.844 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.844 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.845 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.845 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.846 * [backup-simplify]: Simplify (- 0) into 0
1.846 * [backup-simplify]: Simplify (+ 0 0) into 0
1.846 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
1.847 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
1.847 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.847 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U
1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
1.847 * [taylor]: Taking taylor expansion of 1/2 in U
1.847 * [backup-simplify]: Simplify 1/2 into 1/2
1.847 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
1.847 * [taylor]: Taking taylor expansion of J in U
1.847 * [backup-simplify]: Simplify J into J
1.847 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
1.847 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.847 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.847 * [taylor]: Taking taylor expansion of -1/2 in U
1.847 * [backup-simplify]: Simplify -1/2 into -1/2
1.847 * [taylor]: Taking taylor expansion of K in U
1.847 * [backup-simplify]: Simplify K into K
1.847 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.847 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.847 * [taylor]: Taking taylor expansion of U in U
1.847 * [backup-simplify]: Simplify 0 into 0
1.847 * [backup-simplify]: Simplify 1 into 1
1.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.848 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.848 * [backup-simplify]: Simplify (- 0) into 0
1.848 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
1.848 * [backup-simplify]: Simplify (+ 0) into 0
1.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.849 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.850 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.851 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.852 * [backup-simplify]: Simplify (- 0) into 0
1.852 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
1.853 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
1.853 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.853 * [backup-simplify]: Simplify (* (* 1/2 (/ J (cos (/ -1/2 K)))) (* 1/2 (/ J (cos (/ -1/2 K))))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
1.854 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
1.854 * [taylor]: Taking taylor expansion of 1/4 in J
1.854 * [backup-simplify]: Simplify 1/4 into 1/4
1.854 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
1.854 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.854 * [taylor]: Taking taylor expansion of J in J
1.854 * [backup-simplify]: Simplify 0 into 0
1.854 * [backup-simplify]: Simplify 1 into 1
1.854 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.854 * [taylor]: Taking taylor expansion of -1/2 in J
1.854 * [backup-simplify]: Simplify -1/2 into -1/2
1.854 * [taylor]: Taking taylor expansion of K in J
1.854 * [backup-simplify]: Simplify K into K
1.854 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.854 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.854 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.855 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.855 * [backup-simplify]: Simplify (- 0) into 0
1.855 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.856 * [backup-simplify]: Simplify (* 1 1) into 1
1.856 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.856 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
1.856 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.856 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
1.856 * [taylor]: Taking taylor expansion of 1/4 in K
1.857 * [backup-simplify]: Simplify 1/4 into 1/4
1.857 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.857 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.857 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.857 * [taylor]: Taking taylor expansion of -1/2 in K
1.857 * [backup-simplify]: Simplify -1/2 into -1/2
1.857 * [taylor]: Taking taylor expansion of K in K
1.857 * [backup-simplify]: Simplify 0 into 0
1.857 * [backup-simplify]: Simplify 1 into 1
1.857 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.858 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.858 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.858 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.858 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.859 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.860 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.860 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.861 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.862 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.862 * [backup-simplify]: Simplify (- 0) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.863 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.863 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
1.864 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.864 * [taylor]: Taking taylor expansion of 0 in J
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [taylor]: Taking taylor expansion of 0 in K
1.864 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify 0 into 0
1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.865 * [backup-simplify]: Simplify (+ 0) into 0
1.866 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.866 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.867 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.867 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.868 * [backup-simplify]: Simplify (- 0) into 0
1.868 * [backup-simplify]: Simplify (+ 0 0) into 0
1.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.869 * [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
1.869 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
1.869 * [taylor]: Taking taylor expansion of 0 in K
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.870 * [backup-simplify]: Simplify 0 into 0
1.871 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.872 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.874 * [backup-simplify]: Simplify (- 0) into 0
1.875 * [backup-simplify]: Simplify (+ 0 0) into 0
1.875 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.876 * [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
1.877 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
1.877 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
1.877 * [taylor]: Taking taylor expansion of 0 in J
1.877 * [backup-simplify]: Simplify 0 into 0
1.877 * [taylor]: Taking taylor expansion of 0 in K
1.877 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [taylor]: Taking taylor expansion of 0 in K
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 0 into 0
1.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.881 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.882 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.882 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.883 * [backup-simplify]: Simplify (- 0) into 0
1.883 * [backup-simplify]: Simplify (+ 0 0) into 0
1.883 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.884 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
1.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
1.885 * [taylor]: Taking taylor expansion of 0 in K
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify 0 into 0
1.885 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
1.885 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.886 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J))
1.886 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0
1.886 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
1.886 * [taylor]: Taking taylor expansion of -2 in K
1.886 * [backup-simplify]: Simplify -2 into -2
1.886 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.886 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.886 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.886 * [taylor]: Taking taylor expansion of 1/2 in K
1.886 * [backup-simplify]: Simplify 1/2 into 1/2
1.886 * [taylor]: Taking taylor expansion of K in K
1.886 * [backup-simplify]: Simplify 0 into 0
1.886 * [backup-simplify]: Simplify 1 into 1
1.886 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.887 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.887 * [taylor]: Taking taylor expansion of J in K
1.887 * [backup-simplify]: Simplify J into J
1.887 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
1.887 * [taylor]: Taking taylor expansion of -2 in J
1.887 * [backup-simplify]: Simplify -2 into -2
1.887 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.887 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.887 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.887 * [taylor]: Taking taylor expansion of 1/2 in J
1.887 * [backup-simplify]: Simplify 1/2 into 1/2
1.887 * [taylor]: Taking taylor expansion of K in J
1.887 * [backup-simplify]: Simplify K into K
1.888 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.888 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.888 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.888 * [taylor]: Taking taylor expansion of J in J
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
1.888 * [taylor]: Taking taylor expansion of -2 in J
1.888 * [backup-simplify]: Simplify -2 into -2
1.888 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.888 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.888 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.888 * [taylor]: Taking taylor expansion of 1/2 in J
1.888 * [backup-simplify]: Simplify 1/2 into 1/2
1.888 * [taylor]: Taking taylor expansion of K in J
1.888 * [backup-simplify]: Simplify K into K
1.888 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.888 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.888 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.888 * [taylor]: Taking taylor expansion of J in J
1.888 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify 1 into 1
1.888 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.889 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.889 * [backup-simplify]: Simplify (- 0) into 0
1.889 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.889 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.890 * [backup-simplify]: Simplify (* -2 0) into 0
1.890 * [taylor]: Taking taylor expansion of 0 in K
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify 0 into 0
1.890 * [backup-simplify]: Simplify (+ 0) into 0
1.891 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.891 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.892 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.893 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.893 * [backup-simplify]: Simplify (- 0) into 0
1.893 * [backup-simplify]: Simplify (+ 0 0) into 0
1.894 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.894 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
1.894 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
1.894 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
1.894 * [taylor]: Taking taylor expansion of 2 in K
1.894 * [backup-simplify]: Simplify 2 into 2
1.895 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.895 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.895 * [taylor]: Taking taylor expansion of 1/2 in K
1.895 * [backup-simplify]: Simplify 1/2 into 1/2
1.895 * [taylor]: Taking taylor expansion of K in K
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 1 into 1
1.895 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.896 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.896 * [backup-simplify]: Simplify (* 2 1) into 2
1.897 * [backup-simplify]: Simplify (- 2) into -2
1.897 * [backup-simplify]: Simplify -2 into -2
1.897 * [backup-simplify]: Simplify 0 into 0
1.898 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.898 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.899 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.900 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.901 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.901 * [backup-simplify]: Simplify (- 0) into 0
1.901 * [backup-simplify]: Simplify (+ 0 0) into 0
1.902 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.903 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
1.903 * [taylor]: Taking taylor expansion of 0 in K
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify 0 into 0
1.903 * [backup-simplify]: Simplify (+ 0) into 0
1.904 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.905 * [backup-simplify]: Simplify (- 0) into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.905 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.907 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.908 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.909 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.911 * [backup-simplify]: Simplify (- 0) into 0
1.911 * [backup-simplify]: Simplify (+ 0 0) into 0
1.912 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.913 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
1.913 * [taylor]: Taking taylor expansion of 0 in K
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify 0 into 0
1.913 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J)
1.913 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J))
1.914 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
1.914 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K
1.914 * [taylor]: Taking taylor expansion of -2 in K
1.914 * [backup-simplify]: Simplify -2 into -2
1.914 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.914 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.914 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.914 * [taylor]: Taking taylor expansion of 1/2 in K
1.914 * [backup-simplify]: Simplify 1/2 into 1/2
1.914 * [taylor]: Taking taylor expansion of K in K
1.914 * [backup-simplify]: Simplify 0 into 0
1.914 * [backup-simplify]: Simplify 1 into 1
1.914 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.914 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.914 * [taylor]: Taking taylor expansion of J in K
1.914 * [backup-simplify]: Simplify J into J
1.915 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.915 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
1.915 * [taylor]: Taking taylor expansion of -2 in J
1.915 * [backup-simplify]: Simplify -2 into -2
1.915 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.915 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.915 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.915 * [taylor]: Taking taylor expansion of 1/2 in J
1.915 * [backup-simplify]: Simplify 1/2 into 1/2
1.915 * [taylor]: Taking taylor expansion of K in J
1.915 * [backup-simplify]: Simplify K into K
1.915 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.915 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.915 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.915 * [taylor]: Taking taylor expansion of J in J
1.915 * [backup-simplify]: Simplify 0 into 0
1.915 * [backup-simplify]: Simplify 1 into 1
1.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.916 * [backup-simplify]: Simplify (- 0) into 0
1.916 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.916 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.916 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
1.916 * [taylor]: Taking taylor expansion of -2 in J
1.916 * [backup-simplify]: Simplify -2 into -2
1.916 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.916 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.916 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.916 * [taylor]: Taking taylor expansion of 1/2 in J
1.916 * [backup-simplify]: Simplify 1/2 into 1/2
1.916 * [taylor]: Taking taylor expansion of K in J
1.916 * [backup-simplify]: Simplify K into K
1.916 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.916 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.916 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.916 * [taylor]: Taking taylor expansion of J in J
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 1 into 1
1.917 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.917 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.917 * [backup-simplify]: Simplify (- 0) into 0
1.918 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.918 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.918 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.918 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
1.918 * [taylor]: Taking taylor expansion of -2 in K
1.918 * [backup-simplify]: Simplify -2 into -2
1.918 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.918 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.918 * [taylor]: Taking taylor expansion of 1/2 in K
1.918 * [backup-simplify]: Simplify 1/2 into 1/2
1.918 * [taylor]: Taking taylor expansion of K in K
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.919 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.919 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.919 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.919 * [backup-simplify]: Simplify (+ 0) into 0
1.920 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.920 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.921 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.921 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.922 * [backup-simplify]: Simplify (- 0) into 0
1.922 * [backup-simplify]: Simplify (+ 0 0) into 0
1.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.923 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.923 * [taylor]: Taking taylor expansion of 0 in K
1.923 * [backup-simplify]: Simplify 0 into 0
1.923 * [backup-simplify]: Simplify 0 into 0
1.924 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.924 * [backup-simplify]: Simplify 0 into 0
1.925 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.926 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.926 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.927 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.928 * [backup-simplify]: Simplify (- 0) into 0
1.928 * [backup-simplify]: Simplify (+ 0 0) into 0
1.930 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.931 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.931 * [taylor]: Taking taylor expansion of 0 in K
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.931 * [backup-simplify]: Simplify 0 into 0
1.932 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.932 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.936 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.936 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.937 * [backup-simplify]: Simplify (- 0) into 0
1.937 * [backup-simplify]: Simplify (+ 0 0) into 0
1.939 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.940 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.940 * [taylor]: Taking taylor expansion of 0 in K
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J))
1.941 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J))
1.941 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
1.941 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K
1.941 * [taylor]: Taking taylor expansion of 2 in K
1.941 * [backup-simplify]: Simplify 2 into 2
1.941 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.941 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.941 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.941 * [taylor]: Taking taylor expansion of -1/2 in K
1.941 * [backup-simplify]: Simplify -1/2 into -1/2
1.941 * [taylor]: Taking taylor expansion of K in K
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.942 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.942 * [taylor]: Taking taylor expansion of J in K
1.942 * [backup-simplify]: Simplify J into J
1.942 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.942 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J
1.942 * [taylor]: Taking taylor expansion of 2 in J
1.942 * [backup-simplify]: Simplify 2 into 2
1.942 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.942 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.942 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.942 * [taylor]: Taking taylor expansion of -1/2 in J
1.942 * [backup-simplify]: Simplify -1/2 into -1/2
1.942 * [taylor]: Taking taylor expansion of K in J
1.942 * [backup-simplify]: Simplify K into K
1.942 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.942 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.943 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.943 * [taylor]: Taking taylor expansion of J in J
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.943 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.943 * [backup-simplify]: Simplify (- 0) into 0
1.943 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.943 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.943 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J
1.943 * [taylor]: Taking taylor expansion of 2 in J
1.943 * [backup-simplify]: Simplify 2 into 2
1.943 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.944 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.944 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.944 * [taylor]: Taking taylor expansion of -1/2 in J
1.944 * [backup-simplify]: Simplify -1/2 into -1/2
1.944 * [taylor]: Taking taylor expansion of K in J
1.944 * [backup-simplify]: Simplify K into K
1.944 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.944 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.944 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.944 * [taylor]: Taking taylor expansion of J in J
1.944 * [backup-simplify]: Simplify 0 into 0
1.944 * [backup-simplify]: Simplify 1 into 1
1.944 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.944 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.945 * [backup-simplify]: Simplify (- 0) into 0
1.945 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.945 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.945 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.945 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
1.945 * [taylor]: Taking taylor expansion of 2 in K
1.945 * [backup-simplify]: Simplify 2 into 2
1.945 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.945 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.945 * [taylor]: Taking taylor expansion of -1/2 in K
1.945 * [backup-simplify]: Simplify -1/2 into -1/2
1.945 * [taylor]: Taking taylor expansion of K in K
1.945 * [backup-simplify]: Simplify 0 into 0
1.945 * [backup-simplify]: Simplify 1 into 1
1.946 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.946 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.946 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.946 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.946 * [backup-simplify]: Simplify (+ 0) into 0
1.947 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.947 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.948 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.948 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.949 * [backup-simplify]: Simplify (- 0) into 0
1.949 * [backup-simplify]: Simplify (+ 0 0) into 0
1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.950 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.951 * [taylor]: Taking taylor expansion of 0 in K
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.951 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.954 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.955 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.955 * [backup-simplify]: Simplify (- 0) into 0
1.955 * [backup-simplify]: Simplify (+ 0 0) into 0
1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.958 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.958 * [taylor]: Taking taylor expansion of 0 in K
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 0 into 0
1.958 * [backup-simplify]: Simplify 0 into 0
1.959 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.959 * [backup-simplify]: Simplify 0 into 0
1.960 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.961 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.961 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.963 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.963 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.964 * [backup-simplify]: Simplify (- 0) into 0
1.964 * [backup-simplify]: Simplify (+ 0 0) into 0
1.966 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.968 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.968 * [taylor]: Taking taylor expansion of 0 in K
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify 0 into 0
1.968 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J))
1.968 * * * [progress]: simplifying candidates
1.968 * * * * [progress]: [ 1 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
1.968 * * * * [progress]: [ 2 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
1.968 * * * * [progress]: [ 3 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 4 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 5 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 6 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (cbrt (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 7 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 8 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 9 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.969 * * * * [progress]: [ 10 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.969 * * * * [progress]: [ 11 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))))>
1.969 * * * * [progress]: [ 12 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (/ (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.969 * * * * [progress]: [ 13 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/ 1 2))))>
1.969 * * * * [progress]: [ 14 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.969 * * * * [progress]: [ 15 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.969 * * * * [progress]: [ 16 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.970 * * * * [progress]: [ 17 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (posit16->real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 18 / 102 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
1.970 * * * * [progress]: [ 19 / 102 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
1.970 * * * * [progress]: [ 20 / 102 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
1.970 * * * * [progress]: [ 21 / 102 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
1.970 * * * * [progress]: [ 22 / 102 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 23 / 102 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 24 / 102 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 25 / 102 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 26 / 102 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 27 / 102 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 28 / 102 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 29 / 102 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.970 * * * * [progress]: [ 30 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.971 * * * * [progress]: [ 31 / 102 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.971 * * * * [progress]: [ 32 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.971 * * * * [progress]: [ 33 / 102 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 34 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 35 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 36 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 37 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.971 * * * * [progress]: [ 38 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.971 * * * * [progress]: [ 39 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 40 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.971 * * * * [progress]: [ 41 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.971 * * * * [progress]: [ 42 / 102 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))) (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.971 * * * * [progress]: [ 43 / 102 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.972 * * * * [progress]: [ 44 / 102 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.972 * * * * [progress]: [ 45 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* -2 J) (cos (/ K 2)))))>
1.972 * * * * [progress]: [ 46 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 47 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 48 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 49 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 50 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 51 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* 1 2))))))>
1.972 * * * * [progress]: [ 52 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt 2) (cbrt 2))) (cbrt 2))))))>
1.972 * * * * [progress]: [ 53 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt 2)) (sqrt 2))))))>
1.972 * * * * [progress]: [ 54 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 1) 2)))))>
1.972 * * * * [progress]: [ 55 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2) (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 56 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2) (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2))))))>
1.972 * * * * [progress]: [ 57 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ (* (cbrt U) (cbrt U)) (* 2 J)) 2) (pow (/ (cbrt U) (cos (/ K 2))) 2))))))>
1.973 * * * * [progress]: [ 58 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ (sqrt U) (* 2 J)) 2) (pow (/ (sqrt U) (cos (/ K 2))) 2))))))>
1.973 * * * * [progress]: [ 59 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ 1 (* 2 J)) 2) (pow (/ U (cos (/ K 2))) 2))))))>
1.973 * * * * [progress]: [ 60 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow 1 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.973 * * * * [progress]: [ 61 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow U 2) (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.973 * * * * [progress]: [ 62 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (/ U (* (* 2 J) (cos (/ K 2)))) (/ U (* (* 2 J) (cos (/ K 2)))))))))>
1.973 * * * * [progress]: [ 63 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 1)))))>
1.973 * * * * [progress]: [ 64 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (exp (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.973 * * * * [progress]: [ 65 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (log (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.973 * * * * [progress]: [ 66 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.973 * * * * [progress]: [ 67 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (cbrt (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.973 * * * * [progress]: [ 68 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.973 * * * * [progress]: [ 69 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
1.973 * * * * [progress]: [ 70 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2)))))))>
1.973 * * * * [progress]: [ 71 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (posit16->real (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
1.974 * * * * [progress]: [ 72 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 73 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 74 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (cos (/ K 2))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 75 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (+ (log -2) (log J)) (log (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 76 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (log (* -2 J)) (log (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 77 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 78 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 79 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 80 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 81 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2))))) (cbrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 82 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 83 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 84 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (* (* -2 J) (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.974 * * * * [progress]: [ 85 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 86 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 87 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) 1) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 88 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* J (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 89 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (* (* -2 J) (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 90 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (cos (/ K 2)) (* -2 J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 91 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1))>
1.975 * * * * [progress]: [ 92 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
1.975 * * * * [progress]: [ 93 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
1.975 * * * * [progress]: [ 94 / 102 ] simplifiying candidate #<alt (λ (J K U) 0)>
1.975 * * * * [progress]: [ 95 / 102 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
1.975 * * * * [progress]: [ 96 / 102 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
1.975 * * * * [progress]: [ 97 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))))>
1.975 * * * * [progress]: [ 98 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))>
1.975 * * * * [progress]: [ 99 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))))>
1.975 * * * * [progress]: [ 100 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 101 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.975 * * * * [progress]: [ 102 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* (cos (* 1/2 K)) J)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.980 * [simplify]: Simplifying:
  (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt 1)
  (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
  (sqrt 1)
  (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
  (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3)))
  (sqrt (+ (* 1 1) (- (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (* 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt (- 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
  (/ 1 2)
  (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (+ (+ (+ (log -2) (log J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (log (* -2 J)) (log (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (log (* (* -2 J) (cos (/ K 2)))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (log (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (exp (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2)))) (* (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
  (cbrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* -2 J) (cos (/ K 2))) (* (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (cbrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (* (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (cbrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt 1))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt 1))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* -2 J) (cos (/ K 2))) 1)
  (* (cos (/ K 2)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (- (* 1 1) (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (real->posit16 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (- (log U) (+ (+ (log 2) (log J)) (log (cos (/ K 2))))) 2)
  (* (- (log U) (+ (log (* 2 J)) (log (cos (/ K 2))))) 2)
  (* (- (log U) (log (* (* 2 J) (cos (/ K 2))))) 2)
  (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2)
  (* (log (/ U (* (* 2 J) (cos (/ K 2))))) 2)
  (* 1 2)
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) (* (cbrt 2) (cbrt 2)))
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) (sqrt 2))
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) 1)
  (pow (* (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) (cbrt (/ U (* (* 2 J) (cos (/ K 2)))))) 2)
  (pow (cbrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)
  (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)
  (pow (sqrt (/ U (* (* 2 J) (cos (/ K 2))))) 2)
  (pow (/ (* (cbrt U) (cbrt U)) (* 2 J)) 2)
  (pow (/ (cbrt U) (cos (/ K 2))) 2)
  (pow (/ (sqrt U) (* 2 J)) 2)
  (pow (/ (sqrt U) (cos (/ K 2))) 2)
  (pow (/ 1 (* 2 J)) 2)
  (pow (/ U (cos (/ K 2))) 2)
  (pow 1 2)
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)
  (pow U 2)
  (pow (/ 1 (* (* 2 J) (cos (/ K 2)))) 2)
  (log (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (exp (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (* (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))
  (cbrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (* (* (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (sqrt (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2))
  (pow (/ U (* (* 2 J) (cos (/ K 2)))) (/ 2 2))
  (real->posit16 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))
  (* (* -2 J) (cos (/ K 2)))
  (* (* -2 J) (cos (/ K 2)))
  (+ (+ (log -2) (log J)) (log (cos (/ K 2))))
  (+ (log (* -2 J)) (log (cos (/ K 2))))
  (log (* (* -2 J) (cos (/ K 2))))
  (exp (* (* -2 J) (cos (/ K 2))))
  (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (cbrt (* (* -2 J) (cos (/ K 2)))) (cbrt (* (* -2 J) (cos (/ K 2)))))
  (cbrt (* (* -2 J) (cos (/ K 2))))
  (* (* (* (* -2 J) (cos (/ K 2))) (* (* -2 J) (cos (/ K 2)))) (* (* -2 J) (cos (/ K 2))))
  (sqrt (* (* -2 J) (cos (/ K 2))))
  (sqrt (* (* -2 J) (cos (/ K 2))))
  (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (* (* -2 J) (sqrt (cos (/ K 2))))
  (* (* -2 J) 1)
  (* J (cos (/ K 2)))
  (real->posit16 (* (* -2 J) (cos (/ K 2))))
  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))))
  (* 1/4 (/ (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)
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
1.984 * * [simplify]: iteration 1: (179 enodes)
2.037 * * [simplify]: iteration 2: (436 enodes)
2.316 * * [simplify]: iteration 3: (1419 enodes)
3.756 * * [simplify]: Extracting #0: cost 69 inf + 0
3.759 * * [simplify]: Extracting #1: cost 786 inf + 4
3.769 * * [simplify]: Extracting #2: cost 1420 inf + 1451
3.785 * * [simplify]: Extracting #3: cost 1456 inf + 14832
3.810 * * [simplify]: Extracting #4: cost 1301 inf + 35361
3.843 * * [simplify]: Extracting #5: cost 956 inf + 110029
3.921 * * [simplify]: Extracting #6: cost 552 inf + 236611
4.068 * * [simplify]: Extracting #7: cost 188 inf + 406939
4.241 * * [simplify]: Extracting #8: cost 3 inf + 502774
4.408 * * [simplify]: Extracting #9: cost 0 inf + 504262
4.547 * [simplify]: Simplified to:
  (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (exp (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (fabs (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  1
  (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  1
  (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (+ (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  1/2
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2)
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2)
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2)
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (exp (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* (* (* J (cos (/ K 2))) (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* (* (* J (cos (/ K 2))) (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* (* (* J (cos (/ K 2))) (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2)) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2)))
  (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* (* (* J (cos (/ K 2))) (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (sqrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* -2 (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* J (cos (/ K 2))))))
  (* (* (* J (cos (/ K 2))) (fabs (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) -2)
  (* (* (* J (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) -2)
  (* (cos (/ K 2)) (* J -2))
  (* (cos (/ K 2)) (* J -2))
  (* (* (* J (cos (/ K 2))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) -2)
  (* (cos (/ K 2)) (* J -2))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))
  (* (* J (cos (/ K 2))) (* -2 (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))))
  (* -2 (* (* J (cos (/ K 2))) (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))
  (real->posit16 (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* J (cos (/ K 2)))) -2))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  2
  (pow (/ (/ U 2) (* J (cos (/ K 2)))) (* (cbrt 2) (cbrt 2)))
  (pow (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt 2))
  (/ (/ U 2) (* J (cos (/ K 2))))
  (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))))
  (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))
  (/ (/ U 2) (* J (cos (/ K 2))))
  (/ (/ U 2) (* J (cos (/ K 2))))
  (* (* (/ (cbrt U) 2) (/ (cbrt U) J)) (* (/ (cbrt U) 2) (/ (cbrt U) J)))
  (* (/ (cbrt U) (cos (/ K 2))) (/ (cbrt U) (cos (/ K 2))))
  (* (/ (/ (sqrt U) J) 2) (/ (/ (sqrt U) J) 2))
  (* (/ (sqrt U) (cos (/ K 2))) (/ (sqrt U) (cos (/ K 2))))
  (* (/ 1/2 J) (/ 1/2 J))
  (* (/ U (cos (/ K 2))) (/ U (cos (/ K 2))))
  1
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* U U)
  (* (/ 1/2 (* J (cos (/ K 2)))) (/ 1/2 (* J (cos (/ K 2)))))
  (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (exp (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (* (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (fabs (/ (/ U 2) (* J (cos (/ K 2)))))
  (fabs (/ (/ U 2) (* J (cos (/ K 2)))))
  (/ (/ U 2) (* J (cos (/ K 2))))
  (/ (/ U 2) (* J (cos (/ K 2))))
  (real->posit16 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 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)))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* J (cos (/ K 2))))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* J (cos (/ K 2))))
  (* (cbrt (* (cos (/ K 2)) (* J -2))) (cbrt (* (cos (/ K 2)) (* J -2))))
  (cbrt (* (cos (/ K 2)) (* J -2)))
  (* (* -2 (* 4 (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))) (* J (cos (/ K 2))))
  (sqrt (* (cos (/ K 2)) (* J -2)))
  (sqrt (* (cos (/ K 2)) (* J -2)))
  (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) -2)
  (* (* (sqrt (cos (/ K 2))) -2) J)
  (* J -2)
  (* J (cos (/ K 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)))
  (+ (* (* (/ U J) (/ U J)) 1/4) (* 1/16 (* (/ (* K U) J) (/ (* K U) J))))
  (* (* (/ U (* (cos (* 1/2 K)) J)) (/ U (* (cos (* 1/2 K)) J))) 1/4)
  (* (* (/ U (* (cos (* 1/2 K)) J)) (/ U (* (cos (* 1/2 K)) J))) 1/4)
  (* J -2)
  (* (* -2 J) (cos (* 1/2 K)))
  (* (* -2 J) (cos (* 1/2 K)))
4.556 * * * [progress]: adding candidates to table
5.922 * * [progress]: iteration 2 / 4
5.922 * * * [progress]: picking best candidate
5.997 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
5.997 * * * [progress]: localizing error
6.030 * * * [progress]: generating rewritten candidates
6.030 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
6.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.095 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
6.160 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 2)
6.181 * * * [progress]: generating series expansions
6.181 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
6.181 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
6.181 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
6.181 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.182 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.182 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.182 * [taylor]: Taking taylor expansion of 1/4 in K
6.182 * [backup-simplify]: Simplify 1/4 into 1/4
6.182 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.182 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.182 * [taylor]: Taking taylor expansion of U in K
6.182 * [backup-simplify]: Simplify U into U
6.182 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.182 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.182 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.182 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.182 * [taylor]: Taking taylor expansion of 1/2 in K
6.182 * [backup-simplify]: Simplify 1/2 into 1/2
6.182 * [taylor]: Taking taylor expansion of K in K
6.182 * [backup-simplify]: Simplify 0 into 0
6.182 * [backup-simplify]: Simplify 1 into 1
6.183 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.183 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.183 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.183 * [taylor]: Taking taylor expansion of J in K
6.184 * [backup-simplify]: Simplify J into J
6.184 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.184 * [backup-simplify]: Simplify (* 1 1) into 1
6.184 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.184 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.184 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.184 * [taylor]: Taking taylor expansion of 1 in K
6.184 * [backup-simplify]: Simplify 1 into 1
6.184 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.185 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.185 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.185 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.185 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.185 * [backup-simplify]: Simplify (+ 0) into 0
6.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.187 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.187 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.188 * [backup-simplify]: Simplify (+ 0 0) into 0
6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.188 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.188 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.188 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.188 * [taylor]: Taking taylor expansion of 1/4 in J
6.188 * [backup-simplify]: Simplify 1/4 into 1/4
6.188 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.188 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.188 * [taylor]: Taking taylor expansion of U in J
6.188 * [backup-simplify]: Simplify U into U
6.188 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.188 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.188 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.188 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.188 * [taylor]: Taking taylor expansion of 1/2 in J
6.188 * [backup-simplify]: Simplify 1/2 into 1/2
6.188 * [taylor]: Taking taylor expansion of K in J
6.188 * [backup-simplify]: Simplify K into K
6.188 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.188 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.188 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.189 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.189 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.189 * [backup-simplify]: Simplify (- 0) into 0
6.189 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.189 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.189 * [taylor]: Taking taylor expansion of J in J
6.189 * [backup-simplify]: Simplify 0 into 0
6.189 * [backup-simplify]: Simplify 1 into 1
6.189 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.189 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.190 * [backup-simplify]: Simplify (* 1 1) into 1
6.190 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.190 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.190 * [taylor]: Taking taylor expansion of 1 in J
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [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)))
6.190 * [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)))
6.191 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.191 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.192 * [backup-simplify]: Simplify (+ 0) into 0
6.193 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.194 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.194 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.195 * [backup-simplify]: Simplify (- 0) into 0
6.195 * [backup-simplify]: Simplify (+ 0 0) into 0
6.195 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.196 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.196 * [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
6.197 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.197 * [backup-simplify]: Simplify (+ 0 0) into 0
6.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.197 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.197 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.197 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.197 * [taylor]: Taking taylor expansion of 1/4 in U
6.197 * [backup-simplify]: Simplify 1/4 into 1/4
6.198 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.198 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.198 * [taylor]: Taking taylor expansion of U in U
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 1 into 1
6.198 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.198 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.198 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.198 * [taylor]: Taking taylor expansion of 1/2 in U
6.198 * [backup-simplify]: Simplify 1/2 into 1/2
6.198 * [taylor]: Taking taylor expansion of K in U
6.198 * [backup-simplify]: Simplify K into K
6.198 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.198 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.198 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.198 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.198 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.199 * [backup-simplify]: Simplify (- 0) into 0
6.199 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.199 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.199 * [taylor]: Taking taylor expansion of J in U
6.199 * [backup-simplify]: Simplify J into J
6.199 * [backup-simplify]: Simplify (* 1 1) into 1
6.199 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.199 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.199 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.200 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.200 * [taylor]: Taking taylor expansion of 1 in U
6.200 * [backup-simplify]: Simplify 1 into 1
6.200 * [backup-simplify]: Simplify (+ 0 1) into 1
6.200 * [backup-simplify]: Simplify (sqrt 1) into 1
6.201 * [backup-simplify]: Simplify (+ 0 0) into 0
6.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.201 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.201 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.202 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.202 * [taylor]: Taking taylor expansion of 1/4 in U
6.202 * [backup-simplify]: Simplify 1/4 into 1/4
6.202 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.202 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.202 * [taylor]: Taking taylor expansion of U in U
6.202 * [backup-simplify]: Simplify 0 into 0
6.202 * [backup-simplify]: Simplify 1 into 1
6.202 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.202 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.202 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.202 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.202 * [taylor]: Taking taylor expansion of 1/2 in U
6.202 * [backup-simplify]: Simplify 1/2 into 1/2
6.202 * [taylor]: Taking taylor expansion of K in U
6.202 * [backup-simplify]: Simplify K into K
6.202 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.202 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.202 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.202 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.202 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.203 * [backup-simplify]: Simplify (- 0) into 0
6.203 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.203 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.203 * [taylor]: Taking taylor expansion of J in U
6.203 * [backup-simplify]: Simplify J into J
6.203 * [backup-simplify]: Simplify (* 1 1) into 1
6.203 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.203 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.203 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.204 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.204 * [taylor]: Taking taylor expansion of 1 in U
6.204 * [backup-simplify]: Simplify 1 into 1
6.204 * [backup-simplify]: Simplify (+ 0 1) into 1
6.204 * [backup-simplify]: Simplify (sqrt 1) into 1
6.205 * [backup-simplify]: Simplify (+ 0 0) into 0
6.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.206 * [taylor]: Taking taylor expansion of 1 in J
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [taylor]: Taking taylor expansion of 0 in J
6.206 * [backup-simplify]: Simplify 0 into 0
6.206 * [taylor]: Taking taylor expansion of 1 in K
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [backup-simplify]: Simplify 1 into 1
6.206 * [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)))
6.206 * [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))))
6.207 * [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)))
6.208 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.208 * [taylor]: Taking taylor expansion of 1/8 in J
6.208 * [backup-simplify]: Simplify 1/8 into 1/8
6.208 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.208 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.208 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.208 * [taylor]: Taking taylor expansion of 1/2 in J
6.208 * [backup-simplify]: Simplify 1/2 into 1/2
6.208 * [taylor]: Taking taylor expansion of K in J
6.208 * [backup-simplify]: Simplify K into K
6.208 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.208 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.208 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.208 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.208 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.208 * [backup-simplify]: Simplify (- 0) into 0
6.209 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.209 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.209 * [taylor]: Taking taylor expansion of J in J
6.209 * [backup-simplify]: Simplify 0 into 0
6.209 * [backup-simplify]: Simplify 1 into 1
6.209 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.209 * [backup-simplify]: Simplify (* 1 1) into 1
6.209 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.209 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
6.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.210 * [backup-simplify]: Simplify (+ 0) into 0
6.211 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.212 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.212 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.213 * [backup-simplify]: Simplify (- 0) into 0
6.213 * [backup-simplify]: Simplify (+ 0 0) into 0
6.213 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.214 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.214 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.214 * [taylor]: Taking taylor expansion of 0 in K
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in K
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [taylor]: Taking taylor expansion of 0 in K
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.214 * [backup-simplify]: Simplify 0 into 0
6.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.215 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.216 * [backup-simplify]: Simplify (+ 0) into 0
6.217 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.217 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.218 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.218 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.219 * [backup-simplify]: Simplify (- 0) into 0
6.219 * [backup-simplify]: Simplify (+ 0 0) into 0
6.219 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.219 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.220 * [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
6.220 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.221 * [backup-simplify]: Simplify (+ 0 0) into 0
6.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.221 * [taylor]: Taking taylor expansion of 0 in J
6.221 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.223 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.224 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.225 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.225 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.226 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.226 * [backup-simplify]: Simplify (- 0) into 0
6.227 * [backup-simplify]: Simplify (+ 0 0) into 0
6.227 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.228 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.228 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.228 * [taylor]: Taking taylor expansion of 0 in K
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [taylor]: Taking taylor expansion of 0 in K
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify 0 into 0
6.228 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2))))))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
6.229 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
6.229 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.229 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.229 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.229 * [taylor]: Taking taylor expansion of 1/4 in K
6.229 * [backup-simplify]: Simplify 1/4 into 1/4
6.229 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.229 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.229 * [taylor]: Taking taylor expansion of J in K
6.229 * [backup-simplify]: Simplify J into J
6.229 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.229 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.229 * [taylor]: Taking taylor expansion of U in K
6.229 * [backup-simplify]: Simplify U into U
6.229 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.229 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.229 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.229 * [taylor]: Taking taylor expansion of 1/2 in K
6.229 * [backup-simplify]: Simplify 1/2 into 1/2
6.229 * [taylor]: Taking taylor expansion of K in K
6.230 * [backup-simplify]: Simplify 0 into 0
6.230 * [backup-simplify]: Simplify 1 into 1
6.230 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.230 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.230 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.230 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.230 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.231 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.231 * [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)))
6.231 * [taylor]: Taking taylor expansion of 1 in K
6.231 * [backup-simplify]: Simplify 1 into 1
6.231 * [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))))
6.231 * [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)
6.232 * [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))
6.232 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.232 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.232 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.232 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.233 * [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
6.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.234 * [backup-simplify]: Simplify (+ 0 0) into 0
6.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.234 * [taylor]: Taking taylor expansion of 1/4 in J
6.234 * [backup-simplify]: Simplify 1/4 into 1/4
6.234 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.234 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.234 * [taylor]: Taking taylor expansion of J in J
6.234 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 1 into 1
6.235 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.235 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.235 * [taylor]: Taking taylor expansion of U in J
6.235 * [backup-simplify]: Simplify U into U
6.235 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.235 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.235 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.235 * [taylor]: Taking taylor expansion of 1/2 in J
6.235 * [backup-simplify]: Simplify 1/2 into 1/2
6.235 * [taylor]: Taking taylor expansion of K in J
6.235 * [backup-simplify]: Simplify K into K
6.235 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.235 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.235 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.235 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.235 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.236 * [backup-simplify]: Simplify (- 0) into 0
6.236 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.236 * [backup-simplify]: Simplify (* 1 1) into 1
6.236 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.236 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.236 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.236 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.236 * [taylor]: Taking taylor expansion of 1 in J
6.237 * [backup-simplify]: Simplify 1 into 1
6.237 * [backup-simplify]: Simplify (+ 0 1) into 1
6.237 * [backup-simplify]: Simplify (sqrt 1) into 1
6.238 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.238 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.238 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.238 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.238 * [taylor]: Taking taylor expansion of 1/4 in U
6.238 * [backup-simplify]: Simplify 1/4 into 1/4
6.239 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.239 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.239 * [taylor]: Taking taylor expansion of J in U
6.239 * [backup-simplify]: Simplify J into J
6.239 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.239 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.239 * [taylor]: Taking taylor expansion of U in U
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 1 into 1
6.239 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.239 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.239 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.239 * [taylor]: Taking taylor expansion of 1/2 in U
6.239 * [backup-simplify]: Simplify 1/2 into 1/2
6.239 * [taylor]: Taking taylor expansion of K in U
6.239 * [backup-simplify]: Simplify K into K
6.239 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.239 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.239 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.239 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.239 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.240 * [backup-simplify]: Simplify (- 0) into 0
6.240 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.240 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.240 * [backup-simplify]: Simplify (* 1 1) into 1
6.240 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.241 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.241 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.241 * [taylor]: Taking taylor expansion of 1 in U
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [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)))
6.241 * [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)))
6.241 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.241 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.242 * [backup-simplify]: Simplify (+ 0) into 0
6.242 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.242 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.242 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.243 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.243 * [backup-simplify]: Simplify (- 0) into 0
6.243 * [backup-simplify]: Simplify (+ 0 0) into 0
6.243 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.244 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.244 * [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
6.245 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.245 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.245 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.245 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.245 * [taylor]: Taking taylor expansion of 1/4 in U
6.245 * [backup-simplify]: Simplify 1/4 into 1/4
6.245 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.245 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.245 * [taylor]: Taking taylor expansion of J in U
6.245 * [backup-simplify]: Simplify J into J
6.245 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.245 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.245 * [taylor]: Taking taylor expansion of U in U
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.245 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.245 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.245 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.245 * [taylor]: Taking taylor expansion of 1/2 in U
6.245 * [backup-simplify]: Simplify 1/2 into 1/2
6.245 * [taylor]: Taking taylor expansion of K in U
6.245 * [backup-simplify]: Simplify K into K
6.245 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.245 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.245 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.245 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.246 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.246 * [backup-simplify]: Simplify (- 0) into 0
6.246 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.246 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.246 * [backup-simplify]: Simplify (* 1 1) into 1
6.246 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.246 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.246 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.246 * [taylor]: Taking taylor expansion of 1 in U
6.246 * [backup-simplify]: Simplify 1 into 1
6.247 * [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)))
6.247 * [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)))
6.247 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.247 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.247 * [backup-simplify]: Simplify (+ 0) into 0
6.247 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.248 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.248 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.248 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.249 * [backup-simplify]: Simplify (- 0) into 0
6.249 * [backup-simplify]: Simplify (+ 0 0) into 0
6.249 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.249 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.250 * [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
6.250 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.250 * [backup-simplify]: Simplify (+ 0 0) into 0
6.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.251 * [taylor]: Taking taylor expansion of 1/2 in J
6.251 * [backup-simplify]: Simplify 1/2 into 1/2
6.251 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.251 * [taylor]: Taking taylor expansion of J in J
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 1 into 1
6.251 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.251 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.251 * [taylor]: Taking taylor expansion of 1/2 in J
6.251 * [backup-simplify]: Simplify 1/2 into 1/2
6.251 * [taylor]: Taking taylor expansion of K in J
6.251 * [backup-simplify]: Simplify K into K
6.251 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.251 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.251 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.251 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.251 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.251 * [backup-simplify]: Simplify (- 0) into 0
6.251 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.251 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.251 * [taylor]: Taking taylor expansion of 0 in J
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [taylor]: Taking taylor expansion of 0 in K
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.252 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
6.252 * [taylor]: Taking taylor expansion of 1/2 in K
6.252 * [backup-simplify]: Simplify 1/2 into 1/2
6.252 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.252 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.252 * [taylor]: Taking taylor expansion of 1/2 in K
6.252 * [backup-simplify]: Simplify 1/2 into 1/2
6.252 * [taylor]: Taking taylor expansion of K in K
6.252 * [backup-simplify]: Simplify 0 into 0
6.252 * [backup-simplify]: Simplify 1 into 1
6.252 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.252 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.252 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.252 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.253 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.253 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.254 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.254 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.254 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.255 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.255 * [backup-simplify]: Simplify (- 0) into 0
6.255 * [backup-simplify]: Simplify (+ 0 0) into 0
6.255 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.257 * [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
6.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.258 * [backup-simplify]: Simplify (+ 0 1) into 1
6.258 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.258 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.258 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.258 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.258 * [taylor]: Taking taylor expansion of 1/2 in J
6.258 * [backup-simplify]: Simplify 1/2 into 1/2
6.258 * [taylor]: Taking taylor expansion of K in J
6.258 * [backup-simplify]: Simplify K into K
6.258 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.258 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.258 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.258 * [taylor]: Taking taylor expansion of J in J
6.258 * [backup-simplify]: Simplify 0 into 0
6.258 * [backup-simplify]: Simplify 1 into 1
6.258 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.258 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.259 * [backup-simplify]: Simplify (- 0) into 0
6.259 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.259 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.259 * [backup-simplify]: Simplify (+ 0) into 0
6.259 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.260 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.260 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.260 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.260 * [backup-simplify]: Simplify (- 0) into 0
6.264 * [backup-simplify]: Simplify (+ 0 0) into 0
6.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.265 * [taylor]: Taking taylor expansion of 0 in K
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [taylor]: Taking taylor expansion of 0 in K
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify (+ 0) into 0
6.266 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.266 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.267 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.267 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.267 * [backup-simplify]: Simplify (- 0) into 0
6.267 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.268 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.268 * [taylor]: Taking taylor expansion of 0 in K
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.268 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.269 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.270 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.271 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.271 * [backup-simplify]: Simplify (- 0) into 0
6.272 * [backup-simplify]: Simplify (+ 0 0) into 0
6.272 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.275 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.276 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.276 * [backup-simplify]: Simplify (+ 0 0) into 0
6.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.277 * [taylor]: Taking taylor expansion of 0 in J
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [taylor]: Taking taylor expansion of 0 in K
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.278 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
6.278 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
6.278 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.278 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.278 * [taylor]: Taking taylor expansion of 1 in K
6.278 * [backup-simplify]: Simplify 1 into 1
6.278 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.278 * [taylor]: Taking taylor expansion of 1/4 in K
6.278 * [backup-simplify]: Simplify 1/4 into 1/4
6.278 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.278 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.278 * [taylor]: Taking taylor expansion of J in K
6.278 * [backup-simplify]: Simplify J into J
6.278 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.278 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.278 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.278 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.278 * [taylor]: Taking taylor expansion of -1/2 in K
6.278 * [backup-simplify]: Simplify -1/2 into -1/2
6.278 * [taylor]: Taking taylor expansion of K in K
6.278 * [backup-simplify]: Simplify 0 into 0
6.278 * [backup-simplify]: Simplify 1 into 1
6.279 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.279 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.279 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.279 * [taylor]: Taking taylor expansion of U in K
6.279 * [backup-simplify]: Simplify U into U
6.279 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.279 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.279 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.279 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.280 * [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)))
6.280 * [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))))
6.280 * [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)))))
6.281 * [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))))))
6.281 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.281 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.281 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.281 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.282 * [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
6.283 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.283 * [backup-simplify]: Simplify (+ 0 0) into 0
6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.284 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.284 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.284 * [taylor]: Taking taylor expansion of 1 in J
6.284 * [backup-simplify]: Simplify 1 into 1
6.284 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.284 * [taylor]: Taking taylor expansion of 1/4 in J
6.284 * [backup-simplify]: Simplify 1/4 into 1/4
6.284 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.284 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.284 * [taylor]: Taking taylor expansion of J in J
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify 1 into 1
6.284 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.284 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.284 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.284 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.284 * [taylor]: Taking taylor expansion of -1/2 in J
6.284 * [backup-simplify]: Simplify -1/2 into -1/2
6.284 * [taylor]: Taking taylor expansion of K in J
6.284 * [backup-simplify]: Simplify K into K
6.284 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.284 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.284 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.284 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.285 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.285 * [backup-simplify]: Simplify (- 0) into 0
6.285 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.285 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.285 * [taylor]: Taking taylor expansion of U in J
6.285 * [backup-simplify]: Simplify U into U
6.286 * [backup-simplify]: Simplify (* 1 1) into 1
6.286 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.286 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.286 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.286 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.287 * [backup-simplify]: Simplify (+ 1 0) into 1
6.287 * [backup-simplify]: Simplify (sqrt 1) into 1
6.287 * [backup-simplify]: Simplify (+ 0 0) into 0
6.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.288 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.288 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.288 * [taylor]: Taking taylor expansion of 1 in U
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.288 * [taylor]: Taking taylor expansion of 1/4 in U
6.288 * [backup-simplify]: Simplify 1/4 into 1/4
6.288 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.288 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.288 * [taylor]: Taking taylor expansion of J in U
6.288 * [backup-simplify]: Simplify J into J
6.288 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.288 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.288 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.288 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.288 * [taylor]: Taking taylor expansion of -1/2 in U
6.288 * [backup-simplify]: Simplify -1/2 into -1/2
6.288 * [taylor]: Taking taylor expansion of K in U
6.288 * [backup-simplify]: Simplify K into K
6.289 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.289 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.289 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.289 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.289 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.289 * [backup-simplify]: Simplify (- 0) into 0
6.289 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.289 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.289 * [taylor]: Taking taylor expansion of U in U
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.290 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.290 * [backup-simplify]: Simplify (* 1 1) into 1
6.290 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.290 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.290 * [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)))
6.291 * [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)))
6.291 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.291 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.292 * [backup-simplify]: Simplify (+ 0) into 0
6.293 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.294 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.294 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.295 * [backup-simplify]: Simplify (- 0) into 0
6.295 * [backup-simplify]: Simplify (+ 0 0) into 0
6.295 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.296 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.296 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.297 * [backup-simplify]: Simplify (+ 0 0) into 0
6.298 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.298 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.298 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.298 * [taylor]: Taking taylor expansion of 1 in U
6.298 * [backup-simplify]: Simplify 1 into 1
6.298 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.298 * [taylor]: Taking taylor expansion of 1/4 in U
6.298 * [backup-simplify]: Simplify 1/4 into 1/4
6.298 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.298 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.298 * [taylor]: Taking taylor expansion of J in U
6.298 * [backup-simplify]: Simplify J into J
6.298 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.298 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.298 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.298 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.298 * [taylor]: Taking taylor expansion of -1/2 in U
6.298 * [backup-simplify]: Simplify -1/2 into -1/2
6.298 * [taylor]: Taking taylor expansion of K in U
6.298 * [backup-simplify]: Simplify K into K
6.298 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.298 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.298 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.298 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.299 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.299 * [backup-simplify]: Simplify (- 0) into 0
6.299 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.299 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.299 * [taylor]: Taking taylor expansion of U in U
6.299 * [backup-simplify]: Simplify 0 into 0
6.299 * [backup-simplify]: Simplify 1 into 1
6.299 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.299 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.300 * [backup-simplify]: Simplify (* 1 1) into 1
6.300 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.300 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.300 * [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)))
6.301 * [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)))
6.301 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.301 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.302 * [backup-simplify]: Simplify (+ 0) into 0
6.303 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.303 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.304 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.304 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.305 * [backup-simplify]: Simplify (- 0) into 0
6.305 * [backup-simplify]: Simplify (+ 0 0) into 0
6.305 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.306 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.306 * [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
6.307 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.308 * [backup-simplify]: Simplify (+ 0 0) into 0
6.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.308 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.309 * [taylor]: Taking taylor expansion of 1/2 in J
6.309 * [backup-simplify]: Simplify 1/2 into 1/2
6.309 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.309 * [taylor]: Taking taylor expansion of J in J
6.309 * [backup-simplify]: Simplify 0 into 0
6.309 * [backup-simplify]: Simplify 1 into 1
6.309 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.309 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.309 * [taylor]: Taking taylor expansion of -1/2 in J
6.309 * [backup-simplify]: Simplify -1/2 into -1/2
6.309 * [taylor]: Taking taylor expansion of K in J
6.309 * [backup-simplify]: Simplify K into K
6.309 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.309 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.309 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.309 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.309 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.310 * [backup-simplify]: Simplify (- 0) into 0
6.310 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.310 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.310 * [taylor]: Taking taylor expansion of 0 in J
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [taylor]: Taking taylor expansion of 0 in K
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.310 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
6.310 * [taylor]: Taking taylor expansion of 1/2 in K
6.310 * [backup-simplify]: Simplify 1/2 into 1/2
6.310 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.310 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.310 * [taylor]: Taking taylor expansion of -1/2 in K
6.310 * [backup-simplify]: Simplify -1/2 into -1/2
6.310 * [taylor]: Taking taylor expansion of K in K
6.310 * [backup-simplify]: Simplify 0 into 0
6.310 * [backup-simplify]: Simplify 1 into 1
6.311 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.311 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.311 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.311 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.311 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.313 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.314 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.315 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.316 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.316 * [backup-simplify]: Simplify (- 0) into 0
6.316 * [backup-simplify]: Simplify (+ 0 0) into 0
6.317 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.317 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.318 * [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
6.319 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.319 * [backup-simplify]: Simplify (+ 1 0) into 1
6.320 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.320 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.320 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.320 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.320 * [taylor]: Taking taylor expansion of -1/2 in J
6.320 * [backup-simplify]: Simplify -1/2 into -1/2
6.320 * [taylor]: Taking taylor expansion of K in J
6.320 * [backup-simplify]: Simplify K into K
6.320 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.320 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.321 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.321 * [taylor]: Taking taylor expansion of J in J
6.321 * [backup-simplify]: Simplify 0 into 0
6.321 * [backup-simplify]: Simplify 1 into 1
6.321 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.321 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.321 * [backup-simplify]: Simplify (- 0) into 0
6.321 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.321 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.322 * [backup-simplify]: Simplify (+ 0) into 0
6.322 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.322 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.323 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.324 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.324 * [backup-simplify]: Simplify (- 0) into 0
6.324 * [backup-simplify]: Simplify (+ 0 0) into 0
6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.325 * [taylor]: Taking taylor expansion of 0 in K
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [taylor]: Taking taylor expansion of 0 in K
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify (+ 0) into 0
6.326 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.326 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.327 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.328 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.328 * [backup-simplify]: Simplify (- 0) into 0
6.329 * [backup-simplify]: Simplify (+ 0 0) into 0
6.329 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.330 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.330 * [taylor]: Taking taylor expansion of 0 in K
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.330 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.330 * [backup-simplify]: Simplify 0 into 0
6.331 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.333 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.337 * [backup-simplify]: Simplify (- 0) into 0
6.337 * [backup-simplify]: Simplify (+ 0 0) into 0
6.338 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.339 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.340 * [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))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.341 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.341 * [backup-simplify]: Simplify (+ 0 0) into 0
6.342 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.342 * [taylor]: Taking taylor expansion of 0 in J
6.342 * [backup-simplify]: Simplify 0 into 0
6.342 * [taylor]: Taking taylor expansion of 0 in K
6.342 * [backup-simplify]: Simplify 0 into 0
6.342 * [backup-simplify]: Simplify 0 into 0
6.342 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
6.342 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.343 * [backup-simplify]: Simplify (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
6.343 * [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 U K) around 0
6.343 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in K
6.343 * [taylor]: Taking taylor expansion of -2 in K
6.343 * [backup-simplify]: Simplify -2 into -2
6.343 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
6.343 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.343 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.343 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.343 * [taylor]: Taking taylor expansion of 1/2 in K
6.343 * [backup-simplify]: Simplify 1/2 into 1/2
6.343 * [taylor]: Taking taylor expansion of K in K
6.343 * [backup-simplify]: Simplify 0 into 0
6.343 * [backup-simplify]: Simplify 1 into 1
6.344 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.344 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.344 * [taylor]: Taking taylor expansion of J in K
6.344 * [backup-simplify]: Simplify J into J
6.344 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.345 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.345 * [taylor]: Taking taylor expansion of 1/4 in K
6.345 * [backup-simplify]: Simplify 1/4 into 1/4
6.345 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.345 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.345 * [taylor]: Taking taylor expansion of U in K
6.345 * [backup-simplify]: Simplify U into U
6.345 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.345 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.345 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.345 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.345 * [taylor]: Taking taylor expansion of 1/2 in K
6.345 * [backup-simplify]: Simplify 1/2 into 1/2
6.345 * [taylor]: Taking taylor expansion of K in K
6.345 * [backup-simplify]: Simplify 0 into 0
6.345 * [backup-simplify]: Simplify 1 into 1
6.345 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.346 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.346 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.346 * [taylor]: Taking taylor expansion of J in K
6.346 * [backup-simplify]: Simplify J into J
6.346 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.347 * [backup-simplify]: Simplify (* 1 1) into 1
6.347 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.347 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.347 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.347 * [taylor]: Taking taylor expansion of 1 in K
6.347 * [backup-simplify]: Simplify 1 into 1
6.347 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.347 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.348 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.348 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.348 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.348 * [backup-simplify]: Simplify (+ 0) into 0
6.349 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.350 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.350 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.351 * [backup-simplify]: Simplify (+ 0 0) into 0
6.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.351 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in U
6.351 * [taylor]: Taking taylor expansion of -2 in U
6.351 * [backup-simplify]: Simplify -2 into -2
6.351 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in U
6.351 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.351 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.351 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.351 * [taylor]: Taking taylor expansion of 1/2 in U
6.351 * [backup-simplify]: Simplify 1/2 into 1/2
6.351 * [taylor]: Taking taylor expansion of K in U
6.352 * [backup-simplify]: Simplify K into K
6.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.352 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.352 * [taylor]: Taking taylor expansion of J in U
6.352 * [backup-simplify]: Simplify J into J
6.352 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.352 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.352 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.352 * [taylor]: Taking taylor expansion of 1/4 in U
6.352 * [backup-simplify]: Simplify 1/4 into 1/4
6.352 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.352 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.352 * [taylor]: Taking taylor expansion of U in U
6.352 * [backup-simplify]: Simplify 0 into 0
6.352 * [backup-simplify]: Simplify 1 into 1
6.352 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.352 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.352 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.352 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.352 * [taylor]: Taking taylor expansion of 1/2 in U
6.352 * [backup-simplify]: Simplify 1/2 into 1/2
6.352 * [taylor]: Taking taylor expansion of K in U
6.352 * [backup-simplify]: Simplify K into K
6.352 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.352 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.353 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.353 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.353 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.353 * [backup-simplify]: Simplify (- 0) into 0
6.353 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.353 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.353 * [taylor]: Taking taylor expansion of J in U
6.353 * [backup-simplify]: Simplify J into J
6.354 * [backup-simplify]: Simplify (* 1 1) into 1
6.354 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.354 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.354 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.354 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.354 * [taylor]: Taking taylor expansion of 1 in U
6.354 * [backup-simplify]: Simplify 1 into 1
6.355 * [backup-simplify]: Simplify (+ 0 1) into 1
6.355 * [backup-simplify]: Simplify (sqrt 1) into 1
6.356 * [backup-simplify]: Simplify (+ 0 0) into 0
6.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.356 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
6.356 * [taylor]: Taking taylor expansion of -2 in J
6.356 * [backup-simplify]: Simplify -2 into -2
6.357 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
6.357 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.357 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.357 * [taylor]: Taking taylor expansion of 1/2 in J
6.357 * [backup-simplify]: Simplify 1/2 into 1/2
6.357 * [taylor]: Taking taylor expansion of K in J
6.357 * [backup-simplify]: Simplify K into K
6.357 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.357 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.357 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.357 * [taylor]: Taking taylor expansion of J in J
6.357 * [backup-simplify]: Simplify 0 into 0
6.357 * [backup-simplify]: Simplify 1 into 1
6.357 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.357 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.357 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.357 * [taylor]: Taking taylor expansion of 1/4 in J
6.357 * [backup-simplify]: Simplify 1/4 into 1/4
6.357 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.357 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.357 * [taylor]: Taking taylor expansion of U in J
6.357 * [backup-simplify]: Simplify U into U
6.357 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.357 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.357 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.358 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.358 * [taylor]: Taking taylor expansion of 1/2 in J
6.358 * [backup-simplify]: Simplify 1/2 into 1/2
6.358 * [taylor]: Taking taylor expansion of K in J
6.358 * [backup-simplify]: Simplify K into K
6.358 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.358 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.358 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.358 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.358 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.359 * [backup-simplify]: Simplify (- 0) into 0
6.359 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.359 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.359 * [taylor]: Taking taylor expansion of J in J
6.359 * [backup-simplify]: Simplify 0 into 0
6.359 * [backup-simplify]: Simplify 1 into 1
6.359 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.359 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.359 * [backup-simplify]: Simplify (* 1 1) into 1
6.360 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.360 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.360 * [taylor]: Taking taylor expansion of 1 in J
6.360 * [backup-simplify]: Simplify 1 into 1
6.360 * [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)))
6.360 * [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)))
6.361 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.361 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.362 * [backup-simplify]: Simplify (+ 0) into 0
6.362 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.364 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.364 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.365 * [backup-simplify]: Simplify (- 0) into 0
6.365 * [backup-simplify]: Simplify (+ 0 0) into 0
6.365 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.365 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.365 * [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
6.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.366 * [backup-simplify]: Simplify (+ 0 0) into 0
6.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.366 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
6.366 * [taylor]: Taking taylor expansion of -2 in J
6.366 * [backup-simplify]: Simplify -2 into -2
6.366 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
6.366 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.366 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.366 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.366 * [taylor]: Taking taylor expansion of 1/2 in J
6.366 * [backup-simplify]: Simplify 1/2 into 1/2
6.366 * [taylor]: Taking taylor expansion of K in J
6.366 * [backup-simplify]: Simplify K into K
6.366 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.367 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.367 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.367 * [taylor]: Taking taylor expansion of J in J
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.367 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.367 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.367 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.367 * [taylor]: Taking taylor expansion of 1/4 in J
6.367 * [backup-simplify]: Simplify 1/4 into 1/4
6.367 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.367 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.367 * [taylor]: Taking taylor expansion of U in J
6.367 * [backup-simplify]: Simplify U into U
6.367 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.367 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.367 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.367 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.367 * [taylor]: Taking taylor expansion of 1/2 in J
6.367 * [backup-simplify]: Simplify 1/2 into 1/2
6.367 * [taylor]: Taking taylor expansion of K in J
6.367 * [backup-simplify]: Simplify K into K
6.367 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.367 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.367 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.367 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.367 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.367 * [backup-simplify]: Simplify (- 0) into 0
6.367 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.367 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.367 * [taylor]: Taking taylor expansion of J in J
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.368 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.368 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.368 * [backup-simplify]: Simplify (* 1 1) into 1
6.368 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.368 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.368 * [taylor]: Taking taylor expansion of 1 in J
6.368 * [backup-simplify]: Simplify 1 into 1
6.368 * [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)))
6.368 * [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)))
6.369 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.369 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.369 * [backup-simplify]: Simplify (+ 0) into 0
6.370 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.370 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.371 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.371 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.371 * [backup-simplify]: Simplify (- 0) into 0
6.371 * [backup-simplify]: Simplify (+ 0 0) into 0
6.371 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.372 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.372 * [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
6.372 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.373 * [backup-simplify]: Simplify (+ 0 0) into 0
6.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.373 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.373 * [backup-simplify]: Simplify (- 0) into 0
6.373 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.373 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.373 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
6.374 * [backup-simplify]: Simplify (* -2 0) into 0
6.374 * [taylor]: Taking taylor expansion of 0 in U
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [taylor]: Taking taylor expansion of 0 in K
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify (+ 0) into 0
6.374 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.375 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.375 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.376 * [backup-simplify]: Simplify (- 0) into 0
6.376 * [backup-simplify]: Simplify (+ 0 0) into 0
6.376 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.376 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
6.377 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
6.377 * [taylor]: Taking taylor expansion of (- U) in U
6.377 * [taylor]: Taking taylor expansion of U in U
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 1 into 1
6.377 * [backup-simplify]: Simplify (- 0) into 0
6.377 * [taylor]: Taking taylor expansion of 0 in K
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [taylor]: Taking taylor expansion of 0 in K
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 0 into 0
6.377 * [backup-simplify]: Simplify 0 into 0
6.378 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
6.378 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.379 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.379 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.380 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.380 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.380 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.381 * [backup-simplify]: Simplify (- 0) into 0
6.381 * [backup-simplify]: Simplify (+ 0 0) into 0
6.381 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.382 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.382 * [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
6.382 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
6.383 * [backup-simplify]: Simplify (+ 0 1) into 1
6.383 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
6.384 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.384 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.385 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.385 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.385 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.386 * [backup-simplify]: Simplify (- 0) into 0
6.386 * [backup-simplify]: Simplify (+ 0 0) into 0
6.386 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.387 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
6.387 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
6.387 * [taylor]: Taking taylor expansion of 0 in U
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [taylor]: Taking taylor expansion of 0 in K
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify (- 1) into -1
6.387 * [taylor]: Taking taylor expansion of -1 in K
6.387 * [backup-simplify]: Simplify -1 into -1
6.387 * [backup-simplify]: Simplify -1 into -1
6.388 * [taylor]: Taking taylor expansion of 0 in K
6.388 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
6.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.389 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.390 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.391 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.394 * [backup-simplify]: Simplify (- 0) into 0
6.395 * [backup-simplify]: Simplify (+ 0 0) into 0
6.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.396 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.397 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.398 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.399 * [backup-simplify]: Simplify (+ 0 0) into 0
6.399 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
6.400 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.401 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.402 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.404 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.404 * [backup-simplify]: Simplify (- 0) into 0
6.405 * [backup-simplify]: Simplify (+ 0 0) into 0
6.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.407 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U)
6.408 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U)))
6.408 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U
6.408 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U
6.408 * [taylor]: Taking taylor expansion of 2 in U
6.408 * [backup-simplify]: Simplify 2 into 2
6.408 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U
6.408 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.408 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.408 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.408 * [taylor]: Taking taylor expansion of 1/2 in U
6.408 * [backup-simplify]: Simplify 1/2 into 1/2
6.408 * [taylor]: Taking taylor expansion of K in U
6.408 * [backup-simplify]: Simplify K into K
6.408 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.408 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.408 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.408 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.408 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.409 * [backup-simplify]: Simplify (- 0) into 0
6.409 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.409 * [taylor]: Taking taylor expansion of U in U
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 1 into 1
6.409 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.409 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.409 * [backup-simplify]: Simplify (+ 0) into 0
6.410 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.410 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.411 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.412 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.412 * [backup-simplify]: Simplify (- 0) into 0
6.412 * [backup-simplify]: Simplify (+ 0 0) into 0
6.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.414 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
6.415 * [backup-simplify]: Simplify (- 0) into 0
6.415 * [taylor]: Taking taylor expansion of 0 in K
6.415 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify 0 into 0
6.415 * [taylor]: Taking taylor expansion of 0 in K
6.415 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify 0 into 0
6.415 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
6.416 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (* (sqrt (+ 1 (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2))))))) (cos (/ (/ 1 K) 2)))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
6.416 * [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 U K) around 0
6.416 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
6.416 * [taylor]: Taking taylor expansion of -2 in K
6.416 * [backup-simplify]: Simplify -2 into -2
6.416 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
6.416 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.416 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.416 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.416 * [taylor]: Taking taylor expansion of 1/4 in K
6.416 * [backup-simplify]: Simplify 1/4 into 1/4
6.416 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.417 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.417 * [taylor]: Taking taylor expansion of J in K
6.417 * [backup-simplify]: Simplify J into J
6.417 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.417 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.417 * [taylor]: Taking taylor expansion of U in K
6.417 * [backup-simplify]: Simplify U into U
6.417 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.417 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.417 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.417 * [taylor]: Taking taylor expansion of 1/2 in K
6.417 * [backup-simplify]: Simplify 1/2 into 1/2
6.417 * [taylor]: Taking taylor expansion of K in K
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.418 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.418 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.418 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.418 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.418 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.418 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.419 * [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)))
6.419 * [taylor]: Taking taylor expansion of 1 in K
6.419 * [backup-simplify]: Simplify 1 into 1
6.419 * [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))))
6.419 * [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)
6.420 * [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))
6.420 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.420 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.420 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.420 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.421 * [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
6.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.422 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.422 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.422 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.422 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.423 * [taylor]: Taking taylor expansion of 1/2 in K
6.423 * [backup-simplify]: Simplify 1/2 into 1/2
6.423 * [taylor]: Taking taylor expansion of K in K
6.423 * [backup-simplify]: Simplify 0 into 0
6.423 * [backup-simplify]: Simplify 1 into 1
6.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.423 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.423 * [taylor]: Taking taylor expansion of J in K
6.423 * [backup-simplify]: Simplify J into J
6.423 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.423 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in U
6.423 * [taylor]: Taking taylor expansion of -2 in U
6.423 * [backup-simplify]: Simplify -2 into -2
6.423 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in U
6.423 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.423 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.423 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.423 * [taylor]: Taking taylor expansion of 1/4 in U
6.423 * [backup-simplify]: Simplify 1/4 into 1/4
6.423 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.423 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.423 * [taylor]: Taking taylor expansion of J in U
6.424 * [backup-simplify]: Simplify J into J
6.424 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.424 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.424 * [taylor]: Taking taylor expansion of U in U
6.424 * [backup-simplify]: Simplify 0 into 0
6.424 * [backup-simplify]: Simplify 1 into 1
6.424 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.424 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.424 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.424 * [taylor]: Taking taylor expansion of 1/2 in U
6.424 * [backup-simplify]: Simplify 1/2 into 1/2
6.424 * [taylor]: Taking taylor expansion of K in U
6.424 * [backup-simplify]: Simplify K into K
6.424 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.424 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.424 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.424 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.424 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.424 * [backup-simplify]: Simplify (- 0) into 0
6.425 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.425 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.425 * [backup-simplify]: Simplify (* 1 1) into 1
6.425 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.425 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.425 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.425 * [taylor]: Taking taylor expansion of 1 in U
6.425 * [backup-simplify]: Simplify 1 into 1
6.426 * [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)))
6.426 * [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)))
6.426 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.426 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.426 * [backup-simplify]: Simplify (+ 0) into 0
6.427 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.427 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.428 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.428 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.429 * [backup-simplify]: Simplify (- 0) into 0
6.429 * [backup-simplify]: Simplify (+ 0 0) into 0
6.429 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.430 * [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
6.431 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.431 * [backup-simplify]: Simplify (+ 0 0) into 0
6.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.432 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.432 * [taylor]: Taking taylor expansion of 1/2 in U
6.432 * [backup-simplify]: Simplify 1/2 into 1/2
6.432 * [taylor]: Taking taylor expansion of K in U
6.432 * [backup-simplify]: Simplify K into K
6.432 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.432 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.432 * [taylor]: Taking taylor expansion of J in U
6.432 * [backup-simplify]: Simplify J into J
6.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.432 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.432 * [backup-simplify]: Simplify (- 0) into 0
6.433 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.433 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.433 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
6.433 * [taylor]: Taking taylor expansion of -2 in J
6.433 * [backup-simplify]: Simplify -2 into -2
6.433 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
6.433 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.433 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.433 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.433 * [taylor]: Taking taylor expansion of 1/4 in J
6.433 * [backup-simplify]: Simplify 1/4 into 1/4
6.433 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.433 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.433 * [taylor]: Taking taylor expansion of J in J
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 1 into 1
6.433 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.433 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.433 * [taylor]: Taking taylor expansion of U in J
6.433 * [backup-simplify]: Simplify U into U
6.433 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.433 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.433 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.433 * [taylor]: Taking taylor expansion of 1/2 in J
6.433 * [backup-simplify]: Simplify 1/2 into 1/2
6.433 * [taylor]: Taking taylor expansion of K in J
6.433 * [backup-simplify]: Simplify K into K
6.433 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.433 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.433 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.433 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.434 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.434 * [backup-simplify]: Simplify (- 0) into 0
6.434 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.434 * [backup-simplify]: Simplify (* 1 1) into 1
6.434 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.434 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.435 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.435 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.435 * [taylor]: Taking taylor expansion of 1 in J
6.435 * [backup-simplify]: Simplify 1 into 1
6.435 * [backup-simplify]: Simplify (+ 0 1) into 1
6.436 * [backup-simplify]: Simplify (sqrt 1) into 1
6.436 * [backup-simplify]: Simplify (+ 0 0) into 0
6.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.437 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.437 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.437 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.437 * [taylor]: Taking taylor expansion of 1/2 in J
6.437 * [backup-simplify]: Simplify 1/2 into 1/2
6.437 * [taylor]: Taking taylor expansion of K in J
6.437 * [backup-simplify]: Simplify K into K
6.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.437 * [taylor]: Taking taylor expansion of J in J
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify 1 into 1
6.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.437 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.437 * [backup-simplify]: Simplify (- 0) into 0
6.438 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.438 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.438 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in J
6.438 * [taylor]: Taking taylor expansion of -2 in J
6.438 * [backup-simplify]: Simplify -2 into -2
6.438 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in J
6.438 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.438 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.438 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.438 * [taylor]: Taking taylor expansion of 1/4 in J
6.438 * [backup-simplify]: Simplify 1/4 into 1/4
6.438 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.438 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.438 * [taylor]: Taking taylor expansion of J in J
6.438 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify 1 into 1
6.438 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.438 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.438 * [taylor]: Taking taylor expansion of U in J
6.438 * [backup-simplify]: Simplify U into U
6.438 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.438 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.438 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.438 * [taylor]: Taking taylor expansion of 1/2 in J
6.438 * [backup-simplify]: Simplify 1/2 into 1/2
6.438 * [taylor]: Taking taylor expansion of K in J
6.438 * [backup-simplify]: Simplify K into K
6.438 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.438 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.438 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.438 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.439 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.439 * [backup-simplify]: Simplify (- 0) into 0
6.439 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.439 * [backup-simplify]: Simplify (* 1 1) into 1
6.439 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.440 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.440 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.440 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.440 * [taylor]: Taking taylor expansion of 1 in J
6.440 * [backup-simplify]: Simplify 1 into 1
6.440 * [backup-simplify]: Simplify (+ 0 1) into 1
6.441 * [backup-simplify]: Simplify (sqrt 1) into 1
6.441 * [backup-simplify]: Simplify (+ 0 0) into 0
6.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.442 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.442 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.442 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.442 * [taylor]: Taking taylor expansion of 1/2 in J
6.442 * [backup-simplify]: Simplify 1/2 into 1/2
6.442 * [taylor]: Taking taylor expansion of K in J
6.442 * [backup-simplify]: Simplify K into K
6.442 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.442 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.442 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.442 * [taylor]: Taking taylor expansion of J in J
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify 1 into 1
6.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.442 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.443 * [backup-simplify]: Simplify (- 0) into 0
6.443 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.443 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.443 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
6.443 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.443 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
6.443 * [taylor]: Taking taylor expansion of -2 in U
6.443 * [backup-simplify]: Simplify -2 into -2
6.443 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.443 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.443 * [taylor]: Taking taylor expansion of 1/2 in U
6.443 * [backup-simplify]: Simplify 1/2 into 1/2
6.443 * [taylor]: Taking taylor expansion of K in U
6.443 * [backup-simplify]: Simplify K into K
6.443 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.443 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.444 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.444 * [backup-simplify]: Simplify (+ 0) into 0
6.444 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.444 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.445 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.445 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.445 * [backup-simplify]: Simplify (- 0) into 0
6.446 * [backup-simplify]: Simplify (+ 0 0) into 0
6.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.447 * [taylor]: Taking taylor expansion of 0 in U
6.447 * [backup-simplify]: Simplify 0 into 0
6.447 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.447 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.447 * [backup-simplify]: Simplify (- 0) into 0
6.447 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.447 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.447 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
6.447 * [taylor]: Taking taylor expansion of -2 in K
6.448 * [backup-simplify]: Simplify -2 into -2
6.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.448 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.448 * [taylor]: Taking taylor expansion of 1/2 in K
6.448 * [backup-simplify]: Simplify 1/2 into 1/2
6.448 * [taylor]: Taking taylor expansion of K in K
6.448 * [backup-simplify]: Simplify 0 into 0
6.448 * [backup-simplify]: Simplify 1 into 1
6.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.448 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.448 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.448 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.449 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.449 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.449 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.450 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.450 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.450 * [backup-simplify]: Simplify (- 0) into 0
6.450 * [backup-simplify]: Simplify (+ 0 0) into 0
6.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.451 * [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)))
6.452 * [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))))
6.452 * [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)))
6.453 * [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)))))
6.454 * [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))))))
6.454 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
6.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
6.454 * [taylor]: Taking taylor expansion of 1/4 in U
6.454 * [backup-simplify]: Simplify 1/4 into 1/4
6.454 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
6.454 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
6.454 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.454 * [taylor]: Taking taylor expansion of U in U
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 1 into 1
6.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.454 * [taylor]: Taking taylor expansion of 1/2 in U
6.454 * [backup-simplify]: Simplify 1/2 into 1/2
6.454 * [taylor]: Taking taylor expansion of K in U
6.454 * [backup-simplify]: Simplify K into K
6.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.454 * [backup-simplify]: Simplify (* 1 1) into 1
6.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.454 * [backup-simplify]: Simplify (- 0) into 0
6.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.455 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
6.455 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.455 * [backup-simplify]: Simplify (+ 0) into 0
6.455 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.455 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.456 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.456 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.456 * [backup-simplify]: Simplify (- 0) into 0
6.457 * [backup-simplify]: Simplify (+ 0 0) into 0
6.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
6.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.458 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.458 * [backup-simplify]: Simplify (- 0) into 0
6.458 * [taylor]: Taking taylor expansion of 0 in K
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [taylor]: Taking taylor expansion of 0 in K
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify 0 into 0
6.458 * [backup-simplify]: Simplify (+ 0) into 0
6.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.459 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.460 * [backup-simplify]: Simplify (- 0) into 0
6.460 * [backup-simplify]: Simplify (+ 0 0) into 0
6.460 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.460 * [taylor]: Taking taylor expansion of 0 in K
6.460 * [backup-simplify]: Simplify 0 into 0
6.460 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.461 * [backup-simplify]: Simplify 0 into 0
6.461 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.462 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.462 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.463 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.463 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.463 * [backup-simplify]: Simplify (- 0) into 0
6.464 * [backup-simplify]: Simplify (+ 0 0) into 0
6.465 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.465 * [backup-simplify]: Simplify (+ 0) into 0
6.466 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.466 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.466 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.467 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.467 * [backup-simplify]: Simplify (- 0) into 0
6.467 * [backup-simplify]: Simplify (+ 0 0) into 0
6.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.467 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.467 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.468 * [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
6.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.468 * [backup-simplify]: Simplify (+ 0 0) into 0
6.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
6.469 * [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
6.470 * [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
6.470 * [taylor]: Taking taylor expansion of 0 in U
6.470 * [backup-simplify]: Simplify 0 into 0
6.471 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.471 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.471 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.472 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.472 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.472 * [backup-simplify]: Simplify (- 0) into 0
6.472 * [backup-simplify]: Simplify (+ 0 0) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
6.474 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
6.475 * [backup-simplify]: Simplify (- 0) into 0
6.475 * [taylor]: Taking taylor expansion of 0 in K
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [taylor]: Taking taylor expansion of 0 in K
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
6.475 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (* (sqrt (+ 1 (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))))))) (cos (/ (/ 1 (- K)) 2)))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
6.475 * [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 U K) around 0
6.475 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
6.475 * [taylor]: Taking taylor expansion of 2 in K
6.475 * [backup-simplify]: Simplify 2 into 2
6.475 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
6.475 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.475 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.475 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.475 * [taylor]: Taking taylor expansion of -1/2 in K
6.475 * [backup-simplify]: Simplify -1/2 into -1/2
6.475 * [taylor]: Taking taylor expansion of K in K
6.475 * [backup-simplify]: Simplify 0 into 0
6.475 * [backup-simplify]: Simplify 1 into 1
6.476 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.476 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.476 * [taylor]: Taking taylor expansion of J in K
6.476 * [backup-simplify]: Simplify J into J
6.476 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.476 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.476 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.476 * [taylor]: Taking taylor expansion of 1 in K
6.476 * [backup-simplify]: Simplify 1 into 1
6.476 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.476 * [taylor]: Taking taylor expansion of 1/4 in K
6.476 * [backup-simplify]: Simplify 1/4 into 1/4
6.476 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.476 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.476 * [taylor]: Taking taylor expansion of J in K
6.476 * [backup-simplify]: Simplify J into J
6.476 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.476 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.476 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.476 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.476 * [taylor]: Taking taylor expansion of -1/2 in K
6.476 * [backup-simplify]: Simplify -1/2 into -1/2
6.476 * [taylor]: Taking taylor expansion of K in K
6.476 * [backup-simplify]: Simplify 0 into 0
6.476 * [backup-simplify]: Simplify 1 into 1
6.477 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.477 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.477 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.477 * [taylor]: Taking taylor expansion of U in K
6.477 * [backup-simplify]: Simplify U into U
6.477 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.477 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.477 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.477 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.477 * [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)))
6.477 * [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))))
6.477 * [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)))))
6.478 * [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))))))
6.478 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.478 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.478 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.478 * [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
6.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.479 * [backup-simplify]: Simplify (+ 0 0) into 0
6.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.479 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
6.479 * [taylor]: Taking taylor expansion of 2 in U
6.479 * [backup-simplify]: Simplify 2 into 2
6.479 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
6.479 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.479 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.479 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.479 * [taylor]: Taking taylor expansion of -1/2 in U
6.479 * [backup-simplify]: Simplify -1/2 into -1/2
6.479 * [taylor]: Taking taylor expansion of K in U
6.479 * [backup-simplify]: Simplify K into K
6.479 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.479 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.479 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.479 * [taylor]: Taking taylor expansion of J in U
6.479 * [backup-simplify]: Simplify J into J
6.479 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.480 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.480 * [backup-simplify]: Simplify (- 0) into 0
6.480 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.480 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.480 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.480 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.480 * [taylor]: Taking taylor expansion of 1 in U
6.480 * [backup-simplify]: Simplify 1 into 1
6.480 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.480 * [taylor]: Taking taylor expansion of 1/4 in U
6.480 * [backup-simplify]: Simplify 1/4 into 1/4
6.480 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.480 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.480 * [taylor]: Taking taylor expansion of J in U
6.480 * [backup-simplify]: Simplify J into J
6.480 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.480 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.480 * [taylor]: Taking taylor expansion of -1/2 in U
6.480 * [backup-simplify]: Simplify -1/2 into -1/2
6.480 * [taylor]: Taking taylor expansion of K in U
6.480 * [backup-simplify]: Simplify K into K
6.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.480 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.481 * [backup-simplify]: Simplify (- 0) into 0
6.481 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.481 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.481 * [taylor]: Taking taylor expansion of U in U
6.481 * [backup-simplify]: Simplify 0 into 0
6.481 * [backup-simplify]: Simplify 1 into 1
6.481 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.481 * [backup-simplify]: Simplify (* 1 1) into 1
6.481 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.481 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.481 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.482 * [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)))
6.482 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.482 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.482 * [backup-simplify]: Simplify (+ 0) into 0
6.483 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.483 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.484 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.484 * [backup-simplify]: Simplify (- 0) into 0
6.484 * [backup-simplify]: Simplify (+ 0 0) into 0
6.484 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.485 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.485 * [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
6.486 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.486 * [backup-simplify]: Simplify (+ 0 0) into 0
6.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.486 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
6.486 * [taylor]: Taking taylor expansion of 2 in J
6.486 * [backup-simplify]: Simplify 2 into 2
6.486 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
6.486 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.486 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.486 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.486 * [taylor]: Taking taylor expansion of -1/2 in J
6.486 * [backup-simplify]: Simplify -1/2 into -1/2
6.486 * [taylor]: Taking taylor expansion of K in J
6.486 * [backup-simplify]: Simplify K into K
6.486 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.486 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.486 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.486 * [taylor]: Taking taylor expansion of J in J
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify 1 into 1
6.486 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.486 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.487 * [backup-simplify]: Simplify (- 0) into 0
6.487 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.487 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.487 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.487 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.487 * [taylor]: Taking taylor expansion of 1 in J
6.487 * [backup-simplify]: Simplify 1 into 1
6.487 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.487 * [taylor]: Taking taylor expansion of 1/4 in J
6.487 * [backup-simplify]: Simplify 1/4 into 1/4
6.487 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.487 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.487 * [taylor]: Taking taylor expansion of J in J
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 1 into 1
6.487 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.487 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.487 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.487 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.487 * [taylor]: Taking taylor expansion of -1/2 in J
6.487 * [backup-simplify]: Simplify -1/2 into -1/2
6.487 * [taylor]: Taking taylor expansion of K in J
6.487 * [backup-simplify]: Simplify K into K
6.487 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.487 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.487 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.487 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.487 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.488 * [backup-simplify]: Simplify (- 0) into 0
6.488 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.488 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.488 * [taylor]: Taking taylor expansion of U in J
6.488 * [backup-simplify]: Simplify U into U
6.488 * [backup-simplify]: Simplify (* 1 1) into 1
6.488 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.488 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.488 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.488 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.489 * [backup-simplify]: Simplify (+ 1 0) into 1
6.489 * [backup-simplify]: Simplify (sqrt 1) into 1
6.489 * [backup-simplify]: Simplify (+ 0 0) into 0
6.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.490 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
6.490 * [taylor]: Taking taylor expansion of 2 in J
6.490 * [backup-simplify]: Simplify 2 into 2
6.490 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
6.490 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.490 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.490 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.490 * [taylor]: Taking taylor expansion of -1/2 in J
6.490 * [backup-simplify]: Simplify -1/2 into -1/2
6.490 * [taylor]: Taking taylor expansion of K in J
6.490 * [backup-simplify]: Simplify K into K
6.490 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.490 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.490 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.490 * [taylor]: Taking taylor expansion of J in J
6.490 * [backup-simplify]: Simplify 0 into 0
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.490 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.490 * [backup-simplify]: Simplify (- 0) into 0
6.490 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.490 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.490 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.490 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.490 * [taylor]: Taking taylor expansion of 1 in J
6.490 * [backup-simplify]: Simplify 1 into 1
6.490 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.490 * [taylor]: Taking taylor expansion of 1/4 in J
6.490 * [backup-simplify]: Simplify 1/4 into 1/4
6.490 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.490 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.490 * [taylor]: Taking taylor expansion of J in J
6.491 * [backup-simplify]: Simplify 0 into 0
6.491 * [backup-simplify]: Simplify 1 into 1
6.491 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.491 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.491 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.491 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.491 * [taylor]: Taking taylor expansion of -1/2 in J
6.491 * [backup-simplify]: Simplify -1/2 into -1/2
6.491 * [taylor]: Taking taylor expansion of K in J
6.491 * [backup-simplify]: Simplify K into K
6.491 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.491 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.491 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.491 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.491 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.491 * [backup-simplify]: Simplify (- 0) into 0
6.491 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.491 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.491 * [taylor]: Taking taylor expansion of U in J
6.491 * [backup-simplify]: Simplify U into U
6.491 * [backup-simplify]: Simplify (* 1 1) into 1
6.492 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.492 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.492 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.492 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.492 * [backup-simplify]: Simplify (+ 1 0) into 1
6.492 * [backup-simplify]: Simplify (sqrt 1) into 1
6.493 * [backup-simplify]: Simplify (+ 0 0) into 0
6.493 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.493 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.493 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.493 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
6.493 * [taylor]: Taking taylor expansion of 2 in U
6.493 * [backup-simplify]: Simplify 2 into 2
6.493 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.493 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.493 * [taylor]: Taking taylor expansion of -1/2 in U
6.493 * [backup-simplify]: Simplify -1/2 into -1/2
6.493 * [taylor]: Taking taylor expansion of K in U
6.493 * [backup-simplify]: Simplify K into K
6.493 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.493 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.493 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.494 * [backup-simplify]: Simplify (+ 0) into 0
6.494 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.494 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.495 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.495 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.495 * [backup-simplify]: Simplify (- 0) into 0
6.495 * [backup-simplify]: Simplify (+ 0 0) into 0
6.496 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.496 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.496 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.496 * [taylor]: Taking taylor expansion of 0 in U
6.496 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.497 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.497 * [backup-simplify]: Simplify (- 0) into 0
6.497 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.497 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.497 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
6.497 * [taylor]: Taking taylor expansion of 2 in K
6.497 * [backup-simplify]: Simplify 2 into 2
6.497 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.497 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.497 * [taylor]: Taking taylor expansion of -1/2 in K
6.497 * [backup-simplify]: Simplify -1/2 into -1/2
6.497 * [taylor]: Taking taylor expansion of K in K
6.497 * [backup-simplify]: Simplify 0 into 0
6.497 * [backup-simplify]: Simplify 1 into 1
6.498 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.498 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.498 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.498 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.499 * [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)))
6.499 * [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))))
6.500 * [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)))
6.501 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.503 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.504 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.504 * [backup-simplify]: Simplify (- 0) into 0
6.504 * [backup-simplify]: Simplify (+ 0 0) into 0
6.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.509 * [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))))
6.510 * [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))))
6.510 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U
6.510 * [taylor]: Taking taylor expansion of 1/4 in U
6.510 * [backup-simplify]: Simplify 1/4 into 1/4
6.510 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U
6.510 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
6.510 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.510 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.510 * [taylor]: Taking taylor expansion of -1/2 in U
6.510 * [backup-simplify]: Simplify -1/2 into -1/2
6.510 * [taylor]: Taking taylor expansion of K in U
6.510 * [backup-simplify]: Simplify K into K
6.510 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.510 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.510 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.510 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.510 * [taylor]: Taking taylor expansion of U in U
6.510 * [backup-simplify]: Simplify 0 into 0
6.510 * [backup-simplify]: Simplify 1 into 1
6.510 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.510 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.510 * [backup-simplify]: Simplify (- 0) into 0
6.510 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.511 * [backup-simplify]: Simplify (* 1 1) into 1
6.511 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.511 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.511 * [backup-simplify]: Simplify (+ 0) into 0
6.512 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.512 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.512 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.513 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.513 * [backup-simplify]: Simplify (- 0) into 0
6.513 * [backup-simplify]: Simplify (+ 0 0) into 0
6.513 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.514 * [taylor]: Taking taylor expansion of 0 in K
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [taylor]: Taking taylor expansion of 0 in K
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [backup-simplify]: Simplify 0 into 0
6.514 * [backup-simplify]: Simplify (+ 0) into 0
6.515 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.515 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.515 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.516 * [backup-simplify]: Simplify (- 0) into 0
6.516 * [backup-simplify]: Simplify (+ 0 0) into 0
6.516 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.516 * [taylor]: Taking taylor expansion of 0 in K
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify 0 into 0
6.517 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.517 * [backup-simplify]: Simplify 0 into 0
6.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.517 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.517 * [backup-simplify]: Simplify (+ 0) into 0
6.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.518 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.518 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.519 * [backup-simplify]: Simplify (- 0) into 0
6.519 * [backup-simplify]: Simplify (+ 0 0) into 0
6.519 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.519 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.519 * [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
6.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.520 * [backup-simplify]: Simplify (+ 0 0) into 0
6.520 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
6.521 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.522 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.522 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.522 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.523 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.523 * [backup-simplify]: Simplify (- 0) into 0
6.523 * [backup-simplify]: Simplify (+ 0 0) into 0
6.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.525 * [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
6.526 * [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
6.526 * [taylor]: Taking taylor expansion of 0 in U
6.526 * [backup-simplify]: Simplify 0 into 0
6.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.527 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.528 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.528 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.529 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.529 * [backup-simplify]: Simplify (- 0) into 0
6.529 * [backup-simplify]: Simplify (+ 0 0) into 0
6.529 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.530 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
6.530 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
6.530 * [taylor]: Taking taylor expansion of 0 in K
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [taylor]: Taking taylor expansion of 0 in K
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
6.530 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
6.531 * [backup-simplify]: Simplify (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
6.531 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
6.531 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.531 * [taylor]: Taking taylor expansion of 1/4 in K
6.531 * [backup-simplify]: Simplify 1/4 into 1/4
6.531 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.531 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.531 * [taylor]: Taking taylor expansion of U in K
6.531 * [backup-simplify]: Simplify U into U
6.531 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.531 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.531 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.531 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.531 * [taylor]: Taking taylor expansion of 1/2 in K
6.531 * [backup-simplify]: Simplify 1/2 into 1/2
6.531 * [taylor]: Taking taylor expansion of K in K
6.531 * [backup-simplify]: Simplify 0 into 0
6.531 * [backup-simplify]: Simplify 1 into 1
6.531 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.532 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.532 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.532 * [taylor]: Taking taylor expansion of J in K
6.532 * [backup-simplify]: Simplify J into J
6.532 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.532 * [backup-simplify]: Simplify (* 1 1) into 1
6.532 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.532 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.532 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.532 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.532 * [taylor]: Taking taylor expansion of 1/4 in J
6.532 * [backup-simplify]: Simplify 1/4 into 1/4
6.532 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.532 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.532 * [taylor]: Taking taylor expansion of U in J
6.532 * [backup-simplify]: Simplify U into U
6.532 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.532 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.532 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.532 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.532 * [taylor]: Taking taylor expansion of 1/2 in J
6.532 * [backup-simplify]: Simplify 1/2 into 1/2
6.532 * [taylor]: Taking taylor expansion of K in J
6.532 * [backup-simplify]: Simplify K into K
6.532 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.533 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.533 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.533 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.533 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.533 * [backup-simplify]: Simplify (- 0) into 0
6.533 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.533 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.533 * [taylor]: Taking taylor expansion of J in J
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify 1 into 1
6.533 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.533 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.533 * [backup-simplify]: Simplify (* 1 1) into 1
6.533 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.534 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.534 * [taylor]: Taking taylor expansion of 1/4 in U
6.534 * [backup-simplify]: Simplify 1/4 into 1/4
6.534 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.534 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.534 * [taylor]: Taking taylor expansion of U in U
6.534 * [backup-simplify]: Simplify 0 into 0
6.534 * [backup-simplify]: Simplify 1 into 1
6.534 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.534 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.534 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.534 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.534 * [taylor]: Taking taylor expansion of 1/2 in U
6.534 * [backup-simplify]: Simplify 1/2 into 1/2
6.534 * [taylor]: Taking taylor expansion of K in U
6.534 * [backup-simplify]: Simplify K into K
6.534 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.534 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.534 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.534 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.534 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.534 * [backup-simplify]: Simplify (- 0) into 0
6.534 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.534 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.534 * [taylor]: Taking taylor expansion of J in U
6.534 * [backup-simplify]: Simplify J into J
6.535 * [backup-simplify]: Simplify (* 1 1) into 1
6.535 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.535 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.535 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.535 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.535 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.535 * [taylor]: Taking taylor expansion of 1/4 in U
6.535 * [backup-simplify]: Simplify 1/4 into 1/4
6.535 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.535 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.535 * [taylor]: Taking taylor expansion of U in U
6.535 * [backup-simplify]: Simplify 0 into 0
6.535 * [backup-simplify]: Simplify 1 into 1
6.535 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.535 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.535 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.535 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.535 * [taylor]: Taking taylor expansion of 1/2 in U
6.535 * [backup-simplify]: Simplify 1/2 into 1/2
6.535 * [taylor]: Taking taylor expansion of K in U
6.535 * [backup-simplify]: Simplify K into K
6.535 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.535 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.535 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.535 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.535 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.536 * [backup-simplify]: Simplify (- 0) into 0
6.536 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.536 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.536 * [taylor]: Taking taylor expansion of J in U
6.536 * [backup-simplify]: Simplify J into J
6.536 * [backup-simplify]: Simplify (* 1 1) into 1
6.536 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.536 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.536 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.536 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.536 * [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)))
6.536 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.537 * [taylor]: Taking taylor expansion of 1/4 in J
6.537 * [backup-simplify]: Simplify 1/4 into 1/4
6.537 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.537 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.537 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.537 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.537 * [taylor]: Taking taylor expansion of 1/2 in J
6.537 * [backup-simplify]: Simplify 1/2 into 1/2
6.537 * [taylor]: Taking taylor expansion of K in J
6.537 * [backup-simplify]: Simplify K into K
6.537 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.537 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.537 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.537 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.537 * [backup-simplify]: Simplify (- 0) into 0
6.537 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.537 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.537 * [taylor]: Taking taylor expansion of J in J
6.537 * [backup-simplify]: Simplify 0 into 0
6.537 * [backup-simplify]: Simplify 1 into 1
6.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.538 * [backup-simplify]: Simplify (* 1 1) into 1
6.538 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.538 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
6.538 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
6.538 * [taylor]: Taking taylor expansion of 1/4 in K
6.538 * [backup-simplify]: Simplify 1/4 into 1/4
6.538 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.538 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.538 * [taylor]: Taking taylor expansion of 1/2 in K
6.538 * [backup-simplify]: Simplify 1/2 into 1/2
6.538 * [taylor]: Taking taylor expansion of K in K
6.538 * [backup-simplify]: Simplify 0 into 0
6.538 * [backup-simplify]: Simplify 1 into 1
6.538 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.539 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.539 * [backup-simplify]: Simplify (* 1 1) into 1
6.539 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.539 * [backup-simplify]: Simplify 1/4 into 1/4
6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.540 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.540 * [backup-simplify]: Simplify (+ 0) into 0
6.540 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.540 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.541 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.541 * [backup-simplify]: Simplify (- 0) into 0
6.542 * [backup-simplify]: Simplify (+ 0 0) into 0
6.542 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.542 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.542 * [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
6.543 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.543 * [taylor]: Taking taylor expansion of 0 in J
6.543 * [backup-simplify]: Simplify 0 into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.543 * [backup-simplify]: Simplify (+ 0) into 0
6.544 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.545 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.545 * [backup-simplify]: Simplify (- 0) into 0
6.545 * [backup-simplify]: Simplify (+ 0 0) into 0
6.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.546 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.546 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.546 * [taylor]: Taking taylor expansion of 0 in K
6.546 * [backup-simplify]: Simplify 0 into 0
6.547 * [backup-simplify]: Simplify 0 into 0
6.547 * [backup-simplify]: Simplify (+ 0) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.548 * [backup-simplify]: Simplify 0 into 0
6.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.550 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.551 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.551 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.552 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.553 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.553 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.554 * [backup-simplify]: Simplify (- 0) into 0
6.554 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.555 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
6.556 * [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
6.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.557 * [taylor]: Taking taylor expansion of 0 in J
6.557 * [backup-simplify]: Simplify 0 into 0
6.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.558 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.559 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.560 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.560 * [backup-simplify]: Simplify (- 0) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.561 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.561 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.561 * [taylor]: Taking taylor expansion of 0 in K
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 0 into 0
6.562 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
6.563 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
6.563 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
6.563 * [backup-simplify]: Simplify 1/16 into 1/16
6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.564 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.566 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.566 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.568 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.568 * [backup-simplify]: Simplify (- 0) into 0
6.568 * [backup-simplify]: Simplify (+ 0 0) into 0
6.569 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.569 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
6.570 * [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
6.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
6.571 * [taylor]: Taking taylor expansion of 0 in J
6.571 * [backup-simplify]: Simplify 0 into 0
6.571 * [taylor]: Taking taylor expansion of 0 in K
6.571 * [backup-simplify]: Simplify 0 into 0
6.571 * [backup-simplify]: Simplify 0 into 0
6.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.572 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.572 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.573 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.574 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.575 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.575 * [backup-simplify]: Simplify (- 0) into 0
6.575 * [backup-simplify]: Simplify (+ 0 0) into 0
6.576 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.576 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.577 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
6.577 * [taylor]: Taking taylor expansion of 0 in K
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
6.578 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
6.580 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
6.580 * [backup-simplify]: Simplify 0 into 0
6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.581 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
6.583 * [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
6.584 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
6.586 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
6.586 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
6.586 * [backup-simplify]: Simplify (- 0) into 0
6.587 * [backup-simplify]: Simplify (+ 0 0) into 0
6.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
6.588 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
6.589 * [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
6.590 * [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
6.590 * [taylor]: Taking taylor expansion of 0 in J
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [taylor]: Taking taylor expansion of 0 in K
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify 0 into 0
6.590 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
6.590 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
6.590 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
6.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.591 * [taylor]: Taking taylor expansion of 1/4 in K
6.591 * [backup-simplify]: Simplify 1/4 into 1/4
6.591 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.591 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.591 * [taylor]: Taking taylor expansion of J in K
6.591 * [backup-simplify]: Simplify J into J
6.591 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.591 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.591 * [taylor]: Taking taylor expansion of U in K
6.591 * [backup-simplify]: Simplify U into U
6.591 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.591 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.591 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.591 * [taylor]: Taking taylor expansion of 1/2 in K
6.591 * [backup-simplify]: Simplify 1/2 into 1/2
6.591 * [taylor]: Taking taylor expansion of K in K
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.591 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.591 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.591 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.591 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.591 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.591 * [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)))
6.592 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.592 * [taylor]: Taking taylor expansion of 1/4 in J
6.592 * [backup-simplify]: Simplify 1/4 into 1/4
6.592 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.592 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.592 * [taylor]: Taking taylor expansion of J in J
6.592 * [backup-simplify]: Simplify 0 into 0
6.592 * [backup-simplify]: Simplify 1 into 1
6.592 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.592 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.592 * [taylor]: Taking taylor expansion of U in J
6.592 * [backup-simplify]: Simplify U into U
6.592 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.592 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.592 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.592 * [taylor]: Taking taylor expansion of 1/2 in J
6.592 * [backup-simplify]: Simplify 1/2 into 1/2
6.592 * [taylor]: Taking taylor expansion of K in J
6.592 * [backup-simplify]: Simplify K into K
6.592 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.592 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.592 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.592 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.592 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.592 * [backup-simplify]: Simplify (- 0) into 0
6.592 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.593 * [backup-simplify]: Simplify (* 1 1) into 1
6.593 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.593 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.593 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.593 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.593 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.593 * [taylor]: Taking taylor expansion of 1/4 in U
6.593 * [backup-simplify]: Simplify 1/4 into 1/4
6.593 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.593 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.593 * [taylor]: Taking taylor expansion of J in U
6.593 * [backup-simplify]: Simplify J into J
6.593 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.593 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.593 * [taylor]: Taking taylor expansion of U in U
6.593 * [backup-simplify]: Simplify 0 into 0
6.593 * [backup-simplify]: Simplify 1 into 1
6.593 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.594 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.594 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.594 * [taylor]: Taking taylor expansion of 1/2 in U
6.594 * [backup-simplify]: Simplify 1/2 into 1/2
6.594 * [taylor]: Taking taylor expansion of K in U
6.594 * [backup-simplify]: Simplify K into K
6.594 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.594 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.594 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.594 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.594 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.594 * [backup-simplify]: Simplify (- 0) into 0
6.595 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.595 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.595 * [backup-simplify]: Simplify (* 1 1) into 1
6.595 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.595 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.596 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.596 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.596 * [taylor]: Taking taylor expansion of 1/4 in U
6.596 * [backup-simplify]: Simplify 1/4 into 1/4
6.596 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.596 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.596 * [taylor]: Taking taylor expansion of J in U
6.596 * [backup-simplify]: Simplify J into J
6.596 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.596 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.596 * [taylor]: Taking taylor expansion of U in U
6.596 * [backup-simplify]: Simplify 0 into 0
6.596 * [backup-simplify]: Simplify 1 into 1
6.596 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.596 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.596 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.596 * [taylor]: Taking taylor expansion of 1/2 in U
6.596 * [backup-simplify]: Simplify 1/2 into 1/2
6.596 * [taylor]: Taking taylor expansion of K in U
6.596 * [backup-simplify]: Simplify K into K
6.596 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.596 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.596 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.596 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.597 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.597 * [backup-simplify]: Simplify (- 0) into 0
6.597 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.597 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.598 * [backup-simplify]: Simplify (* 1 1) into 1
6.598 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.598 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.598 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.598 * [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)))
6.599 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
6.599 * [taylor]: Taking taylor expansion of 1/4 in J
6.599 * [backup-simplify]: Simplify 1/4 into 1/4
6.599 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
6.599 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.599 * [taylor]: Taking taylor expansion of J in J
6.599 * [backup-simplify]: Simplify 0 into 0
6.599 * [backup-simplify]: Simplify 1 into 1
6.599 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.599 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.599 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.599 * [taylor]: Taking taylor expansion of 1/2 in J
6.599 * [backup-simplify]: Simplify 1/2 into 1/2
6.599 * [taylor]: Taking taylor expansion of K in J
6.599 * [backup-simplify]: Simplify K into K
6.599 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.599 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.599 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.599 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.599 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.600 * [backup-simplify]: Simplify (- 0) into 0
6.600 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.600 * [backup-simplify]: Simplify (* 1 1) into 1
6.600 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.600 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
6.601 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.601 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
6.601 * [taylor]: Taking taylor expansion of 1/4 in K
6.601 * [backup-simplify]: Simplify 1/4 into 1/4
6.601 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.601 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.601 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.601 * [taylor]: Taking taylor expansion of 1/2 in K
6.601 * [backup-simplify]: Simplify 1/2 into 1/2
6.601 * [taylor]: Taking taylor expansion of K in K
6.601 * [backup-simplify]: Simplify 0 into 0
6.601 * [backup-simplify]: Simplify 1 into 1
6.601 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.601 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.601 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.602 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.602 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
6.602 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.602 * [backup-simplify]: Simplify (+ 0) into 0
6.603 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.603 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.604 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.604 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.605 * [backup-simplify]: Simplify (- 0) into 0
6.605 * [backup-simplify]: Simplify (+ 0 0) into 0
6.605 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.607 * [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
6.608 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.608 * [taylor]: Taking taylor expansion of 0 in J
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [taylor]: Taking taylor expansion of 0 in K
6.608 * [backup-simplify]: Simplify 0 into 0
6.608 * [backup-simplify]: Simplify 0 into 0
6.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.611 * [backup-simplify]: Simplify (+ 0) into 0
6.612 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.612 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.613 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.613 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.614 * [backup-simplify]: Simplify (- 0) into 0
6.614 * [backup-simplify]: Simplify (+ 0 0) into 0
6.614 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.615 * [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
6.615 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
6.615 * [taylor]: Taking taylor expansion of 0 in K
6.615 * [backup-simplify]: Simplify 0 into 0
6.615 * [backup-simplify]: Simplify 0 into 0
6.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.616 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.616 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.617 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.618 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.619 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.620 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.620 * [backup-simplify]: Simplify (- 0) into 0
6.621 * [backup-simplify]: Simplify (+ 0 0) into 0
6.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.622 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.622 * [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
6.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.623 * [taylor]: Taking taylor expansion of 0 in J
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [taylor]: Taking taylor expansion of 0 in K
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [taylor]: Taking taylor expansion of 0 in K
6.623 * [backup-simplify]: Simplify 0 into 0
6.623 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.624 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.625 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.625 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.625 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.626 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.626 * [backup-simplify]: Simplify (- 0) into 0
6.626 * [backup-simplify]: Simplify (+ 0 0) into 0
6.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.627 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
6.627 * [taylor]: Taking taylor expansion of 0 in K
6.627 * [backup-simplify]: Simplify 0 into 0
6.627 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
6.628 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
6.628 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
6.628 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.628 * [taylor]: Taking taylor expansion of 1/4 in K
6.628 * [backup-simplify]: Simplify 1/4 into 1/4
6.628 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.628 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.628 * [taylor]: Taking taylor expansion of J in K
6.628 * [backup-simplify]: Simplify J into J
6.628 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.628 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.628 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.628 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.628 * [taylor]: Taking taylor expansion of -1/2 in K
6.628 * [backup-simplify]: Simplify -1/2 into -1/2
6.628 * [taylor]: Taking taylor expansion of K in K
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 1 into 1
6.628 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.629 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.629 * [taylor]: Taking taylor expansion of U in K
6.629 * [backup-simplify]: Simplify U into U
6.629 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.629 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.629 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.629 * [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)))
6.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.629 * [taylor]: Taking taylor expansion of 1/4 in J
6.629 * [backup-simplify]: Simplify 1/4 into 1/4
6.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.629 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.629 * [taylor]: Taking taylor expansion of J in J
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.629 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.629 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.629 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.629 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.629 * [taylor]: Taking taylor expansion of -1/2 in J
6.629 * [backup-simplify]: Simplify -1/2 into -1/2
6.629 * [taylor]: Taking taylor expansion of K in J
6.629 * [backup-simplify]: Simplify K into K
6.629 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.629 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.629 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.629 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.629 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.630 * [backup-simplify]: Simplify (- 0) into 0
6.630 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
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 * [backup-simplify]: Simplify (* 1 1) into 1
6.630 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.630 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.630 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.630 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.630 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.630 * [taylor]: Taking taylor expansion of 1/4 in U
6.630 * [backup-simplify]: Simplify 1/4 into 1/4
6.630 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.630 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.630 * [taylor]: Taking taylor expansion of J in U
6.630 * [backup-simplify]: Simplify J into J
6.630 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.631 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.631 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.631 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.631 * [taylor]: Taking taylor expansion of -1/2 in U
6.631 * [backup-simplify]: Simplify -1/2 into -1/2
6.631 * [taylor]: Taking taylor expansion of K in U
6.631 * [backup-simplify]: Simplify K into K
6.631 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.631 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.631 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.631 * [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 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.631 * [taylor]: Taking taylor expansion of U in U
6.631 * [backup-simplify]: Simplify 0 into 0
6.631 * [backup-simplify]: Simplify 1 into 1
6.631 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.631 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.632 * [backup-simplify]: Simplify (* 1 1) into 1
6.632 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.632 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.632 * [taylor]: Taking taylor expansion of 1/4 in U
6.632 * [backup-simplify]: Simplify 1/4 into 1/4
6.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.632 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.632 * [taylor]: Taking taylor expansion of J in U
6.632 * [backup-simplify]: Simplify J into J
6.632 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.632 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.632 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.632 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.632 * [taylor]: Taking taylor expansion of -1/2 in U
6.632 * [backup-simplify]: Simplify -1/2 into -1/2
6.632 * [taylor]: Taking taylor expansion of K in U
6.632 * [backup-simplify]: Simplify K into K
6.632 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.632 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.632 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.632 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.632 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.632 * [backup-simplify]: Simplify (- 0) into 0
6.632 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.632 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.633 * [taylor]: Taking taylor expansion of U in U
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [backup-simplify]: Simplify 1 into 1
6.633 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.633 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.633 * [backup-simplify]: Simplify (* 1 1) into 1
6.633 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.633 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.633 * [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)))
6.633 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
6.633 * [taylor]: Taking taylor expansion of 1/4 in J
6.633 * [backup-simplify]: Simplify 1/4 into 1/4
6.633 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
6.633 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.633 * [taylor]: Taking taylor expansion of J in J
6.633 * [backup-simplify]: Simplify 0 into 0
6.633 * [backup-simplify]: Simplify 1 into 1
6.633 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.633 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.633 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.633 * [taylor]: Taking taylor expansion of -1/2 in J
6.633 * [backup-simplify]: Simplify -1/2 into -1/2
6.633 * [taylor]: Taking taylor expansion of K in J
6.633 * [backup-simplify]: Simplify K into K
6.634 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.634 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.634 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.634 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.634 * [backup-simplify]: Simplify (- 0) into 0
6.634 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.634 * [backup-simplify]: Simplify (* 1 1) into 1
6.634 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.634 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
6.634 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.635 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
6.635 * [taylor]: Taking taylor expansion of 1/4 in K
6.635 * [backup-simplify]: Simplify 1/4 into 1/4
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 (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.635 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.635 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
6.635 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.636 * [backup-simplify]: Simplify (+ 0) into 0
6.636 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.636 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.637 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.637 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.637 * [backup-simplify]: Simplify (- 0) into 0
6.638 * [backup-simplify]: Simplify (+ 0 0) into 0
6.638 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.638 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.638 * [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
6.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.639 * [taylor]: Taking taylor expansion of 0 in J
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [taylor]: Taking taylor expansion of 0 in K
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify 0 into 0
6.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.639 * [backup-simplify]: Simplify (+ 0) into 0
6.640 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.640 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.640 * [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
6.641 * [backup-simplify]: Simplify (+ 0 0) into 0
6.641 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.641 * [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
6.642 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
6.642 * [taylor]: Taking taylor expansion of 0 in K
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify 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 (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.642 * [backup-simplify]: Simplify 0 into 0
6.642 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.643 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.644 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.644 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.644 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.645 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.645 * [backup-simplify]: Simplify (- 0) into 0
6.645 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.646 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.646 * [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
6.647 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.647 * [taylor]: Taking taylor expansion of 0 in J
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [taylor]: Taking taylor expansion of 0 in K
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [taylor]: Taking taylor expansion of 0 in K
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 0 into 0
6.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.648 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.648 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.649 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.649 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.649 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.650 * [backup-simplify]: Simplify (- 0) into 0
6.650 * [backup-simplify]: Simplify (+ 0 0) into 0
6.650 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.650 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.651 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
6.651 * [taylor]: Taking taylor expansion of 0 in K
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify 0 into 0
6.651 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
6.651 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 2)
6.651 * [backup-simplify]: Simplify (* J (cos (/ K 2))) into (* (cos (* 1/2 K)) J)
6.651 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (J K) around 0
6.651 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.651 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.651 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.652 * [taylor]: Taking taylor expansion of 1/2 in K
6.652 * [backup-simplify]: Simplify 1/2 into 1/2
6.652 * [taylor]: Taking taylor expansion of K in K
6.652 * [backup-simplify]: Simplify 0 into 0
6.652 * [backup-simplify]: Simplify 1 into 1
6.652 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.652 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.652 * [taylor]: Taking taylor expansion of J in K
6.652 * [backup-simplify]: Simplify J into J
6.652 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.652 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.652 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.652 * [taylor]: Taking taylor expansion of 1/2 in J
6.652 * [backup-simplify]: Simplify 1/2 into 1/2
6.652 * [taylor]: Taking taylor expansion of K in J
6.652 * [backup-simplify]: Simplify K into K
6.652 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.652 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.653 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.653 * [taylor]: Taking taylor expansion of J in J
6.653 * [backup-simplify]: Simplify 0 into 0
6.653 * [backup-simplify]: Simplify 1 into 1
6.653 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.653 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.653 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.653 * [taylor]: Taking taylor expansion of 1/2 in J
6.653 * [backup-simplify]: Simplify 1/2 into 1/2
6.653 * [taylor]: Taking taylor expansion of K in J
6.653 * [backup-simplify]: Simplify K into K
6.653 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.653 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.653 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.653 * [taylor]: Taking taylor expansion of J in J
6.653 * [backup-simplify]: Simplify 0 into 0
6.653 * [backup-simplify]: Simplify 1 into 1
6.653 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.653 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.653 * [backup-simplify]: Simplify (- 0) into 0
6.653 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.653 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.653 * [taylor]: Taking taylor expansion of 0 in K
6.653 * [backup-simplify]: Simplify 0 into 0
6.653 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify (+ 0) into 0
6.654 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.654 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.655 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.655 * [backup-simplify]: Simplify (- 0) into 0
6.655 * [backup-simplify]: Simplify (+ 0 0) into 0
6.656 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.656 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.656 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.656 * [taylor]: Taking taylor expansion of 1/2 in K
6.656 * [backup-simplify]: Simplify 1/2 into 1/2
6.656 * [taylor]: Taking taylor expansion of K in K
6.656 * [backup-simplify]: Simplify 0 into 0
6.656 * [backup-simplify]: Simplify 1 into 1
6.656 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.657 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.657 * [backup-simplify]: Simplify 1 into 1
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.658 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.659 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.659 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.659 * [backup-simplify]: Simplify (- 0) into 0
6.659 * [backup-simplify]: Simplify (+ 0 0) into 0
6.660 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.660 * [taylor]: Taking taylor expansion of 0 in K
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify (+ 0) into 0
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify 0 into 0
6.661 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.661 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.663 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.663 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.663 * [backup-simplify]: Simplify (- 0) into 0
6.664 * [backup-simplify]: Simplify (+ 0 0) into 0
6.664 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.664 * [taylor]: Taking taylor expansion of 0 in K
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify 0 into 0
6.664 * [backup-simplify]: Simplify (* 1 (* 1 J)) into J
6.664 * [backup-simplify]: Simplify (* (/ 1 J) (cos (/ (/ 1 K) 2))) into (/ (cos (/ 1/2 K)) J)
6.664 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (J K) around 0
6.664 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.664 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.664 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.664 * [taylor]: Taking taylor expansion of 1/2 in K
6.664 * [backup-simplify]: Simplify 1/2 into 1/2
6.665 * [taylor]: Taking taylor expansion of K in K
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.665 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.665 * [taylor]: Taking taylor expansion of J in K
6.665 * [backup-simplify]: Simplify J into J
6.665 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.665 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.665 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.665 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.665 * [taylor]: Taking taylor expansion of 1/2 in J
6.665 * [backup-simplify]: Simplify 1/2 into 1/2
6.665 * [taylor]: Taking taylor expansion of K in J
6.665 * [backup-simplify]: Simplify K into K
6.665 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.665 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.665 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.665 * [taylor]: Taking taylor expansion of J in J
6.665 * [backup-simplify]: Simplify 0 into 0
6.665 * [backup-simplify]: Simplify 1 into 1
6.665 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.665 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.666 * [backup-simplify]: Simplify (- 0) into 0
6.666 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.666 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.666 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.666 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.666 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.666 * [taylor]: Taking taylor expansion of 1/2 in J
6.666 * [backup-simplify]: Simplify 1/2 into 1/2
6.666 * [taylor]: Taking taylor expansion of K in J
6.666 * [backup-simplify]: Simplify K into K
6.666 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.666 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.666 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.666 * [taylor]: Taking taylor expansion of J in J
6.666 * [backup-simplify]: Simplify 0 into 0
6.666 * [backup-simplify]: Simplify 1 into 1
6.666 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.666 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.666 * [backup-simplify]: Simplify (- 0) into 0
6.666 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.666 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.667 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.667 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.667 * [taylor]: Taking taylor expansion of 1/2 in K
6.667 * [backup-simplify]: Simplify 1/2 into 1/2
6.667 * [taylor]: Taking taylor expansion of K in K
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [backup-simplify]: Simplify 1 into 1
6.667 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.667 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.667 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.667 * [backup-simplify]: Simplify (+ 0) into 0
6.668 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.668 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.668 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.668 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.669 * [backup-simplify]: Simplify (- 0) into 0
6.669 * [backup-simplify]: Simplify (+ 0 0) into 0
6.670 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.670 * [taylor]: Taking taylor expansion of 0 in K
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.671 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.671 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.671 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.672 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.672 * [backup-simplify]: Simplify (- 0) into 0
6.672 * [backup-simplify]: Simplify (+ 0 0) into 0
6.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.673 * [taylor]: Taking taylor expansion of 0 in K
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 0 into 0
6.673 * [backup-simplify]: Simplify 0 into 0
6.674 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.674 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.674 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.675 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.676 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.676 * [backup-simplify]: Simplify (- 0) into 0
6.676 * [backup-simplify]: Simplify (+ 0 0) into 0
6.677 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.677 * [taylor]: Taking taylor expansion of 0 in K
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* 1 (/ 1 (/ 1 J)))) into (* (cos (* 1/2 K)) J)
6.678 * [backup-simplify]: Simplify (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))) into (* -1 (/ (cos (/ -1/2 K)) J))
6.678 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
6.678 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K
6.678 * [taylor]: Taking taylor expansion of -1 in K
6.678 * [backup-simplify]: Simplify -1 into -1
6.678 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.678 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.678 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.678 * [taylor]: Taking taylor expansion of -1/2 in K
6.678 * [backup-simplify]: Simplify -1/2 into -1/2
6.678 * [taylor]: Taking taylor expansion of K in K
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 1 into 1
6.678 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.678 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.678 * [taylor]: Taking taylor expansion of J in K
6.678 * [backup-simplify]: Simplify J into J
6.678 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.678 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J
6.678 * [taylor]: Taking taylor expansion of -1 in J
6.678 * [backup-simplify]: Simplify -1 into -1
6.678 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.678 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.678 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.678 * [taylor]: Taking taylor expansion of -1/2 in J
6.678 * [backup-simplify]: Simplify -1/2 into -1/2
6.678 * [taylor]: Taking taylor expansion of K in J
6.678 * [backup-simplify]: Simplify K into K
6.678 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.679 * [taylor]: Taking taylor expansion of J in J
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.679 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.679 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.679 * [backup-simplify]: Simplify (- 0) into 0
6.679 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.679 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.679 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J
6.679 * [taylor]: Taking taylor expansion of -1 in J
6.679 * [backup-simplify]: Simplify -1 into -1
6.679 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.679 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.679 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.679 * [taylor]: Taking taylor expansion of -1/2 in J
6.679 * [backup-simplify]: Simplify -1/2 into -1/2
6.679 * [taylor]: Taking taylor expansion of K in J
6.679 * [backup-simplify]: Simplify K into K
6.679 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.679 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.679 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.679 * [taylor]: Taking taylor expansion of J in J
6.679 * [backup-simplify]: Simplify 0 into 0
6.679 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.680 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.680 * [backup-simplify]: Simplify (- 0) into 0
6.680 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.680 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.680 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
6.680 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1/2 K))) in K
6.680 * [taylor]: Taking taylor expansion of -1 in K
6.680 * [backup-simplify]: Simplify -1 into -1
6.680 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.680 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.680 * [taylor]: Taking taylor expansion of -1/2 in K
6.680 * [backup-simplify]: Simplify -1/2 into -1/2
6.680 * [taylor]: Taking taylor expansion of K in K
6.680 * [backup-simplify]: Simplify 0 into 0
6.680 * [backup-simplify]: Simplify 1 into 1
6.680 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.681 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.681 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
6.681 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
6.681 * [backup-simplify]: Simplify (+ 0) into 0
6.681 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.681 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.682 * [backup-simplify]: Simplify (- 0) into 0
6.683 * [backup-simplify]: Simplify (+ 0 0) into 0
6.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.683 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0
6.683 * [taylor]: Taking taylor expansion of 0 in K
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0
6.684 * [backup-simplify]: Simplify 0 into 0
6.684 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.685 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.685 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.686 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.686 * [backup-simplify]: Simplify (- 0) into 0
6.686 * [backup-simplify]: Simplify (+ 0 0) into 0
6.687 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.688 * [taylor]: Taking taylor expansion of 0 in K
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify 0 into 0
6.688 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.688 * [backup-simplify]: Simplify 0 into 0
6.689 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.690 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.691 * [backup-simplify]: Simplify (- 0) into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.693 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.693 * [taylor]: Taking taylor expansion of 0 in K
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify 0 into 0
6.693 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* (cos (* 1/2 K)) J)
6.693 * * * [progress]: simplifying candidates
6.693 * * * * [progress]: [ 1 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (pow (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1/2) (cos (/ K 2)))))>
6.693 * * * * [progress]: [ 2 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (pow (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 1) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 3 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (exp (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 4 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (log (exp (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 5 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 6 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 7 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* (sqrt (* (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 8 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 9 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* (sqrt 1) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 10 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (/ (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3))) (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 11 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (/ (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 12 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (pow (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ 1 2)) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 13 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 14 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (fabs (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 15 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 16 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.694 * * * * [progress]: [ 17 / 191 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) 1))>
6.694 * * * * [progress]: [ 18 / 191 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) 1))>
6.694 * * * * [progress]: [ 19 / 191 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) 1))>
6.694 * * * * [progress]: [ 20 / 191 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) 1))>
6.694 * * * * [progress]: [ 21 / 191 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) 1))>
6.694 * * * * [progress]: [ 22 / 191 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log -2) (log J)) (+ (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (log (cos (/ K 2)))))))>
6.694 * * * * [progress]: [ 23 / 191 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log -2) (log J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.694 * * * * [progress]: [ 24 / 191 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* -2 J)) (+ (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (log (cos (/ K 2)))))))>
6.694 * * * * [progress]: [ 25 / 191 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* -2 J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 26 / 191 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 27 / 191 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 28 / 191 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 29 / 191 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 30 / 191 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 31 / 191 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 32 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))) (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))) (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 33 / 191 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 34 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))) (sqrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 35 / 191 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))))>
6.695 * * * * [progress]: [ 36 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
6.695 * * * * [progress]: [ 37 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* J (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))))>
6.695 * * * * [progress]: [ 38 / 191 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* -2 J) (* (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3))) (cos (/ K 2)))) (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))))>
6.695 * * * * [progress]: [ 39 / 191 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* -2 J) (* (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))>
6.695 * * * * [progress]: [ 40 / 191 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))))>
6.695 * * * * [progress]: [ 41 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* -2 J)))>
6.695 * * * * [progress]: [ 42 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (+ 1 1)))) (cos (/ K 2)))))>
6.695 * * * * [progress]: [ 43 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))) (cos (/ K 2)))))>
6.695 * * * * [progress]: [ 44 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) 2))) (cos (/ K 2)))))>
6.695 * * * * [progress]: [ 45 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (+ 1 1)))) (cos (/ K 2)))))>
6.695 * * * * [progress]: [ 46 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1))) (cos (/ K 2)))))>
6.695 * * * * [progress]: [ 47 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 48 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 49 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 50 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 51 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 52 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 53 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 54 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 55 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 56 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 57 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 58 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 59 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 60 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 61 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 62 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 63 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 64 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 65 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 66 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 67 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 68 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.696 * * * * [progress]: [ 69 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 70 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 71 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 72 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (exp (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 73 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (log (exp (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 74 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 75 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 76 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 77 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 78 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 79 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 80 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 81 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 82 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 83 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 84 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 85 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 86 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.697 * * * * [progress]: [ 87 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 88 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 89 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 90 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 91 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 92 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 93 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 94 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 95 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 96 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 97 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 98 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 99 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 100 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 101 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (sqrt (* (/ (/ 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))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 102 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (/ (* (/ U 2) (/ U 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 103 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 104 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 105 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 106 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J)) (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (cbrt (/ U 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 107 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (sqrt (/ U 2)) J) (/ (sqrt (/ U 2)) J)) (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (sqrt (/ U 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.698 * * * * [progress]: [ 108 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J) (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 109 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J) (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J)) (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 110 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (/ (/ (* (cbrt U) (cbrt U)) 1) J)) (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ (cbrt U) 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 111 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J) (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 112 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (sqrt U) (sqrt 2)) J) (/ (/ (sqrt U) (sqrt 2)) J)) (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 113 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ (sqrt U) 1) J) (/ (/ (sqrt U) 1) J)) (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ (sqrt U) 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 114 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ 1 (* (cbrt 2) (cbrt 2))) J) (/ (/ 1 (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 115 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ 1 (sqrt 2)) J) (/ (/ 1 (sqrt 2)) J)) (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 116 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ 1 1) J) (/ (/ 1 1) J)) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 117 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ 1 J) (/ 1 J)) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 118 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ U J) (/ U J)) (* (/ (/ 1 2) (cos (/ K 2))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 119 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 120 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ U 2) (/ U 2)) (* (/ 1 (* J (cos (/ K 2)))) (/ 1 (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 121 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 122 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (* 2 1)))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 123 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 124 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 125 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J)) (/ (cbrt (/ U 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 126 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt (/ U 2)) J)) (/ (sqrt (/ U 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 127 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J)) (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 128 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J)) (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 129 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) 1) J)) (/ (/ (cbrt U) 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 130 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J)) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.699 * * * * [progress]: [ 131 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) (sqrt 2)) J)) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 132 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) 1) J)) (/ (/ (sqrt U) 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 133 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) J)) (/ (/ U (cbrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 134 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 (sqrt 2)) J)) (/ (/ U (sqrt 2)) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 135 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 1) J)) (/ (/ U 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 136 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 J)) (/ (/ U 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 137 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 138 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) 1) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 139 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U 2)) (/ 1 (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 140 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 141 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 142 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 143 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (sqrt (/ U 2)) J) (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 144 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 145 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J) (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 146 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 147 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 148 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (sqrt U) (sqrt 2)) J) (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 149 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ (sqrt U) 1) J) (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 150 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ 1 (* (cbrt 2) (cbrt 2))) J) (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 151 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ 1 (sqrt 2)) J) (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 152 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ 1 1) J) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.700 * * * * [progress]: [ 153 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ 1 J) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 154 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ U J) (* (/ (/ 1 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 155 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 156 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ U 2) (* (/ 1 (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 157 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (/ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U 2)) (* J (cos (/ K 2)))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 158 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (/ (* (/ U 2) (/ (/ U 2) (* J (cos (/ K 2))))) (* J (cos (/ K 2)))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 159 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (posit16->real (real->posit16 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 160 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 161 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (pow (* J (cos (/ K 2))) 1))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 162 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (pow (* J (cos (/ K 2))) 1))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 163 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (exp (+ (log J) (log (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 164 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (exp (log (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 165 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (log (exp (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 166 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (cbrt (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 167 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* (cbrt (* J (cos (/ K 2)))) (cbrt (* J (cos (/ K 2))))) (cbrt (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 168 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (cbrt (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 169 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (sqrt (* J (cos (/ K 2)))) (sqrt (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 170 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* 1 (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 171 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* (sqrt J) (sqrt (cos (/ K 2)))) (* (sqrt J) (sqrt (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 172 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 173 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* J (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 174 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* J 1) (cos (/ K 2))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 175 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (* (cbrt J) (cbrt J)) (* (cbrt J) (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.701 * * * * [progress]: [ 176 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (sqrt J) (* (sqrt J) (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 177 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* 1 (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 178 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 179 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (cos (/ K 2)) J))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 180 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* 1 (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 181 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 182 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 183 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
6.702 * * * * [progress]: [ 184 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
6.702 * * * * [progress]: [ 185 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
6.702 * * * * [progress]: [ 186 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2)))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 187 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 188 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 189 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) J)))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 190 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (cos (* 1/2 K)) J))))) (cos (/ K 2)))))>
6.702 * * * * [progress]: [ 191 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* (cos (* 1/2 K)) J))))) (cos (/ K 2)))))>
6.706 * [simplify]: Simplifying:
  (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (exp (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (* (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt 1)
  (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3)))
  (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (/ 1 2)
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))
  (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))
  (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))
  (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))
  (+ (+ (log -2) (log J)) (+ (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (log (cos (/ K 2)))))
  (+ (+ (log -2) (log J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (+ (log (* -2 J)) (+ (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (log (cos (/ K 2)))))
  (+ (log (* -2 J)) (log (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (log (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (exp (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
  (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))
  (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (* (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))) (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))))
  (cbrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (* (* (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (sqrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (sqrt (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* J (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2))))
  (* (* -2 J) (* (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3))) (cos (/ K 2))))
  (* (* -2 J) (* (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))
  (real->posit16 (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))
  (+ 1 1)
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (+ 1 1)
  (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))))
  (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))))
  (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))))
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  (* (/ U 2) (/ (/ U 2) (* J (cos (/ K 2)))))
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  (* J (cos (/ K 2)))
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  (log (* J (cos (/ K 2))))
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  (cbrt (* J (cos (/ K 2))))
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  (sqrt (* J (cos (/ K 2))))
  (sqrt (* J (cos (/ K 2))))
  (* (sqrt J) (sqrt (cos (/ K 2))))
  (* (sqrt J) (sqrt (cos (/ K 2))))
  (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (* J (sqrt (cos (/ K 2))))
  (* J 1)
  (* (cbrt J) (cos (/ K 2)))
  (* (sqrt J) (cos (/ K 2)))
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  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* -1 U)
  (* -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))))
  (* 1/4 (/ (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))))
  J
  (* (cos (* 1/2 K)) J)
  (* (cos (* 1/2 K)) J)
6.712 * * [simplify]: iteration 1: (327 enodes)
6.880 * * [simplify]: iteration 2: (1014 enodes)
7.605 * * [simplify]: Extracting #0: cost 119 inf + 0
7.609 * * [simplify]: Extracting #1: cost 1075 inf + 4
7.623 * * [simplify]: Extracting #2: cost 1632 inf + 2021
7.644 * * [simplify]: Extracting #3: cost 1471 inf + 23452
7.673 * * [simplify]: Extracting #4: cost 1209 inf + 80045
7.730 * * [simplify]: Extracting #5: cost 576 inf + 279026
7.857 * * [simplify]: Extracting #6: cost 158 inf + 430565
8.025 * * [simplify]: Extracting #7: cost 39 inf + 486894
8.207 * * [simplify]: Extracting #8: cost 0 inf + 507170
8.394 * * [simplify]: Extracting #9: cost 0 inf + 507090
8.526 * [simplify]: Simplified to:
  (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (exp (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
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  (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
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  (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  1
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  (sqrt (+ 1 (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  1/2
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))
  (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))
  (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))
  (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))
  (log (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (log (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (log (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (log (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (log (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (exp (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)
  (* (* (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) -8)
  (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))))
  (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))))
  (* (cbrt (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))) (cbrt (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))))
  (cbrt (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))) (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J)))))
  (sqrt (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (sqrt (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))
  (* (* (sqrt (+ 1 (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* -2 J)) (cos (/ K 2)))
  (* (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* (cos (/ K 2)) (* -2 J)))
  (real->posit16 (* -2 (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (cos (/ K 2)) J))))
  2
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  2
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (exp (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)) (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)))
  (* (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)) (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (* (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)) (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)))
  (* (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)) (* (/ (* U U) (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))) (/ U 8)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (/ (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (/ (* U U) 8) U)))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (fabs (/ (/ U 2) (* (cos (/ K 2)) J)))
  (fabs (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (/ U 2) (/ U 2))
  (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))
  (* (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J))
  (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (cbrt (/ U 2)) (cos (/ K 2))))
  (* (/ (sqrt (/ U 2)) J) (/ (sqrt (/ U 2)) J))
  (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (sqrt (/ U 2)) (cos (/ K 2))))
  (* (/ (/ (cbrt U) (cbrt 2)) (/ J (/ (cbrt U) (cbrt 2)))) (/ (/ (cbrt U) (cbrt 2)) (/ J (/ (cbrt U) (cbrt 2)))))
  (* (/ (cbrt U) (* (cbrt 2) (cos (/ K 2)))) (/ (cbrt U) (* (cbrt 2) (cos (/ K 2)))))
  (* (/ (* (cbrt U) (cbrt U)) (* J (sqrt 2))) (/ (* (cbrt U) (cbrt U)) (* J (sqrt 2))))
  (* (/ (/ (cbrt U) (cos (/ K 2))) (sqrt 2)) (/ (/ (cbrt U) (cos (/ K 2))) (sqrt 2)))
  (* (/ (cbrt U) (/ J (cbrt U))) (/ (cbrt U) (/ J (cbrt U))))
  (* (/ (/ (cbrt U) (cos (/ K 2))) 2) (/ (/ (cbrt U) (cos (/ K 2))) 2))
  (* (/ (sqrt U) (* (* (cbrt 2) (cbrt 2)) J)) (/ (sqrt U) (* (* (cbrt 2) (cbrt 2)) J)))
  (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))))
  (* (/ (sqrt U) (* J (sqrt 2))) (/ (sqrt U) (* J (sqrt 2))))
  (* (/ (/ (sqrt U) (cos (/ K 2))) (sqrt 2)) (/ (/ (sqrt U) (cos (/ K 2))) (sqrt 2)))
  (* (/ (sqrt U) J) (/ (sqrt U) J))
  (* (/ (/ (sqrt U) (cos (/ K 2))) 2) (/ (/ (sqrt U) (cos (/ K 2))) 2))
  (* (/ (/ 1 J) (* (cbrt 2) (cbrt 2))) (/ (/ 1 J) (* (cbrt 2) (cbrt 2))))
  (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U (cbrt 2)) (cos (/ K 2))))
  (* (/ (/ 1 J) (sqrt 2)) (/ (/ 1 J) (sqrt 2)))
  (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U (sqrt 2)) (cos (/ K 2))))
  (* (/ 1 J) (/ 1 J))
  (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2))))
  (* (/ 1 J) (/ 1 J))
  (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2))))
  (* (/ U J) (/ U J))
  (* (/ 1/2 (cos (/ K 2))) (/ 1/2 (cos (/ K 2))))
  1
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (/ U 2) (/ U 2))
  (/ (/ 1 (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  2
  (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (/ (/ U 2) J)) (cos (/ K 2)))
  (/ (* (/ (sqrt (/ U 2)) J) (/ U 2)) (* (cos (/ K 2)) J))
  (* (/ (/ U 2) J) (/ (/ (/ (cbrt U) (cbrt 2)) (/ J (/ (cbrt U) (cbrt 2)))) (cos (/ K 2))))
  (/ (* (* (cbrt U) (cbrt U)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* J (sqrt 2)))
  (/ (/ (* (/ U 2) (/ (cbrt U) (/ J (cbrt U)))) J) (cos (/ K 2)))
  (/ (* U (/ (sqrt U) (* (* (cbrt 2) (cbrt 2)) J))) (* (cos (/ K 2)) (* J 2)))
  (/ (* (/ (sqrt U) (* J (sqrt 2))) U) (* (cos (/ K 2)) (* J 2)))
  (/ (* (/ (sqrt U) J) (/ (/ U 2) J)) (cos (/ K 2)))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* (cbrt 2) (cbrt 2)) J))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* J (sqrt 2)))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) J)
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) J)
  (/ (/ (* (/ (/ U 2) J) U) (cos (/ K 2))) J)
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (* (/ U 2) (/ U 2)) (* (cos (/ K 2)) J))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (/ (/ (* (sqrt (/ U 2)) (/ U 2)) (* (cos (/ K 2)) J)) (cos (/ K 2)))
  (/ (* (/ (cbrt U) (* (cbrt 2) (cos (/ K 2)))) U) (* (cos (/ K 2)) (* J 2)))
  (/ (/ (/ (cbrt U) (cos (/ K 2))) (sqrt 2)) (/ (* (cos (/ K 2)) J) (/ U 2)))
  (/ (* (/ (/ U 2) J) (/ (/ (cbrt U) (cos (/ K 2))) 2)) (cos (/ K 2)))
  (/ (/ (* (sqrt U) (/ U 2)) (* (cbrt 2) (cos (/ K 2)))) (* (cos (/ K 2)) J))
  (/ (* U (/ (/ (sqrt U) (cos (/ K 2))) (sqrt 2))) (* (cos (/ K 2)) (* J 2)))
  (/ (/ (* (/ (sqrt U) 2) (/ U 2)) (* (cos (/ K 2)) J)) (cos (/ K 2)))
  (* (/ (/ (/ U (cbrt 2)) (cos (/ K 2))) (cos (/ K 2))) (/ (/ U 2) J))
  (/ (/ (* (/ U (sqrt 2)) (/ U 2)) (cos (/ K 2))) (* (cos (/ K 2)) J))
  (/ (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2)))) J)
  (/ (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2)))) J)
  (/ (/ (* 1/2 (/ U 2)) (* (cos (/ K 2)) J)) (cos (/ K 2)))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
  (/ (* (/ U 2) (/ U 2)) (* (cos (/ K 2)) J))
  (/ (* (/ U 2) (/ U 2)) (* (cos (/ K 2)) J))
  (real->posit16 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (cos (/ K 2)) J)
  (log (* (cos (/ K 2)) J))
  (log (* (cos (/ K 2)) J))
  (exp (* (cos (/ K 2)) J))
  (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
  (* (cbrt (* (cos (/ K 2)) J)) (cbrt (* (cos (/ K 2)) J)))
  (cbrt (* (cos (/ K 2)) J))
  (* (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
  (sqrt (* (cos (/ K 2)) J))
  (sqrt (* (cos (/ K 2)) J))
  (* (sqrt (cos (/ K 2))) (sqrt J))
  (* (sqrt (cos (/ K 2))) (sqrt J))
  (* J (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (* J (sqrt (cos (/ K 2))))
  J
  (* (cbrt J) (cos (/ K 2)))
  (* (sqrt J) (cos (/ K 2)))
  (* (cos (/ K 2)) J)
  (real->posit16 (* (cos (/ K 2)) J))
  1
  (* (/ U (* (cos (* 1/2 K)) J)) 1/2)
  (* (/ U (* (cos (* 1/2 K)) J)) 1/2)
  (- U)
  (* (cos (* 1/2 K)) (* -2 J))
  (* (cos (* 1/2 K)) (* -2 J))
  (+ (* (/ (* K K) (* (/ J U) (/ J U))) 1/16) (* (* (/ U J) (/ U J)) 1/4))
  (* (/ 1/4 (* J J)) (* (/ U (cos (* 1/2 K))) (/ U (cos (* 1/2 K)))))
  (* (/ 1/4 (* J J)) (* (/ U (cos (* 1/2 K))) (/ U (cos (* 1/2 K)))))
  J
  (* (cos (* 1/2 K)) J)
  (* (cos (* 1/2 K)) J)
8.565 * * * [progress]: adding candidates to table
11.212 * * [progress]: iteration 3 / 4
11.212 * * * [progress]: picking best candidate
11.277 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
11.277 * * * [progress]: localizing error
11.308 * * * [progress]: generating rewritten candidates
11.308 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
11.311 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
11.352 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2)
11.435 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
11.547 * * * [progress]: generating series expansions
11.547 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
11.547 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
11.548 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
11.548 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.548 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.548 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.548 * [taylor]: Taking taylor expansion of 1/4 in K
11.548 * [backup-simplify]: Simplify 1/4 into 1/4
11.548 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.548 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.548 * [taylor]: Taking taylor expansion of U in K
11.548 * [backup-simplify]: Simplify U into U
11.548 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.548 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.548 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.548 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.548 * [taylor]: Taking taylor expansion of 1/2 in K
11.548 * [backup-simplify]: Simplify 1/2 into 1/2
11.548 * [taylor]: Taking taylor expansion of K in K
11.548 * [backup-simplify]: Simplify 0 into 0
11.548 * [backup-simplify]: Simplify 1 into 1
11.549 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.550 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.550 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.550 * [taylor]: Taking taylor expansion of J in K
11.550 * [backup-simplify]: Simplify J into J
11.550 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.550 * [backup-simplify]: Simplify (* 1 1) into 1
11.550 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.551 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.551 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.551 * [taylor]: Taking taylor expansion of 1 in K
11.551 * [backup-simplify]: Simplify 1 into 1
11.551 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.551 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.551 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.552 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.552 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.552 * [backup-simplify]: Simplify (+ 0) into 0
11.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.554 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.554 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.555 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.555 * [backup-simplify]: Simplify (+ 0 0) into 0
11.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.556 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.556 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.556 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.556 * [taylor]: Taking taylor expansion of 1/4 in J
11.556 * [backup-simplify]: Simplify 1/4 into 1/4
11.556 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.556 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.556 * [taylor]: Taking taylor expansion of U in J
11.556 * [backup-simplify]: Simplify U into U
11.556 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.556 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.556 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.556 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.556 * [taylor]: Taking taylor expansion of 1/2 in J
11.556 * [backup-simplify]: Simplify 1/2 into 1/2
11.556 * [taylor]: Taking taylor expansion of K in J
11.556 * [backup-simplify]: Simplify K into K
11.556 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.556 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.556 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.556 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.556 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.557 * [backup-simplify]: Simplify (- 0) into 0
11.557 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.557 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.557 * [taylor]: Taking taylor expansion of J in J
11.557 * [backup-simplify]: Simplify 0 into 0
11.557 * [backup-simplify]: Simplify 1 into 1
11.557 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.557 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.558 * [backup-simplify]: Simplify (* 1 1) into 1
11.558 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.558 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.558 * [taylor]: Taking taylor expansion of 1 in J
11.558 * [backup-simplify]: Simplify 1 into 1
11.558 * [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)))
11.559 * [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)))
11.559 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.559 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.560 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.560 * [backup-simplify]: Simplify (+ 0) into 0
11.561 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.563 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.563 * [backup-simplify]: Simplify (- 0) into 0
11.563 * [backup-simplify]: Simplify (+ 0 0) into 0
11.563 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.564 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.564 * [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
11.565 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.565 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.566 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.566 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.566 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.566 * [taylor]: Taking taylor expansion of 1/4 in U
11.566 * [backup-simplify]: Simplify 1/4 into 1/4
11.566 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.566 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.566 * [taylor]: Taking taylor expansion of U in U
11.566 * [backup-simplify]: Simplify 0 into 0
11.566 * [backup-simplify]: Simplify 1 into 1
11.566 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.566 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.566 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.566 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.566 * [taylor]: Taking taylor expansion of 1/2 in U
11.566 * [backup-simplify]: Simplify 1/2 into 1/2
11.566 * [taylor]: Taking taylor expansion of K in U
11.566 * [backup-simplify]: Simplify K into K
11.566 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.566 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.567 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.567 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.567 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.567 * [backup-simplify]: Simplify (- 0) into 0
11.567 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.567 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.567 * [taylor]: Taking taylor expansion of J in U
11.567 * [backup-simplify]: Simplify J into J
11.568 * [backup-simplify]: Simplify (* 1 1) into 1
11.568 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.568 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.568 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.568 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.568 * [taylor]: Taking taylor expansion of 1 in U
11.568 * [backup-simplify]: Simplify 1 into 1
11.569 * [backup-simplify]: Simplify (+ 0 1) into 1
11.569 * [backup-simplify]: Simplify (sqrt 1) into 1
11.570 * [backup-simplify]: Simplify (+ 0 0) into 0
11.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.570 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.570 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.570 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.571 * [taylor]: Taking taylor expansion of 1/4 in U
11.571 * [backup-simplify]: Simplify 1/4 into 1/4
11.571 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.571 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.571 * [taylor]: Taking taylor expansion of U in U
11.571 * [backup-simplify]: Simplify 0 into 0
11.571 * [backup-simplify]: Simplify 1 into 1
11.571 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.571 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.571 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.571 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.571 * [taylor]: Taking taylor expansion of 1/2 in U
11.571 * [backup-simplify]: Simplify 1/2 into 1/2
11.571 * [taylor]: Taking taylor expansion of K in U
11.571 * [backup-simplify]: Simplify K into K
11.571 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.571 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.571 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.571 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.571 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.572 * [backup-simplify]: Simplify (- 0) into 0
11.572 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.572 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.572 * [taylor]: Taking taylor expansion of J in U
11.572 * [backup-simplify]: Simplify J into J
11.573 * [backup-simplify]: Simplify (* 1 1) into 1
11.573 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.573 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.573 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.573 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.573 * [taylor]: Taking taylor expansion of 1 in U
11.573 * [backup-simplify]: Simplify 1 into 1
11.574 * [backup-simplify]: Simplify (+ 0 1) into 1
11.574 * [backup-simplify]: Simplify (sqrt 1) into 1
11.575 * [backup-simplify]: Simplify (+ 0 0) into 0
11.575 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.575 * [taylor]: Taking taylor expansion of 1 in J
11.575 * [backup-simplify]: Simplify 1 into 1
11.575 * [taylor]: Taking taylor expansion of 0 in J
11.575 * [backup-simplify]: Simplify 0 into 0
11.576 * [taylor]: Taking taylor expansion of 1 in K
11.576 * [backup-simplify]: Simplify 1 into 1
11.576 * [backup-simplify]: Simplify 1 into 1
11.576 * [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)))
11.576 * [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))))
11.578 * [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)))
11.578 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.578 * [taylor]: Taking taylor expansion of 1/8 in J
11.578 * [backup-simplify]: Simplify 1/8 into 1/8
11.578 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.578 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.578 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.578 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.578 * [taylor]: Taking taylor expansion of 1/2 in J
11.578 * [backup-simplify]: Simplify 1/2 into 1/2
11.578 * [taylor]: Taking taylor expansion of K in J
11.578 * [backup-simplify]: Simplify K into K
11.578 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.578 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.578 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.578 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.578 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.579 * [backup-simplify]: Simplify (- 0) into 0
11.579 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.579 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.579 * [taylor]: Taking taylor expansion of J in J
11.579 * [backup-simplify]: Simplify 0 into 0
11.579 * [backup-simplify]: Simplify 1 into 1
11.579 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.580 * [backup-simplify]: Simplify (* 1 1) into 1
11.580 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.580 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
11.581 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.581 * [backup-simplify]: Simplify (+ 0) into 0
11.581 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.583 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.583 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.584 * [backup-simplify]: Simplify (- 0) into 0
11.584 * [backup-simplify]: Simplify (+ 0 0) into 0
11.584 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.585 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.585 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.585 * [taylor]: Taking taylor expansion of 0 in K
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [taylor]: Taking taylor expansion of 0 in K
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [taylor]: Taking taylor expansion of 0 in K
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [backup-simplify]: Simplify 0 into 0
11.585 * [backup-simplify]: Simplify 0 into 0
11.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.587 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.587 * [backup-simplify]: Simplify (+ 0) into 0
11.587 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.588 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.589 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.589 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.590 * [backup-simplify]: Simplify (- 0) into 0
11.590 * [backup-simplify]: Simplify (+ 0 0) into 0
11.590 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.590 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.591 * [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
11.592 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.592 * [backup-simplify]: Simplify (+ 0 0) into 0
11.593 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
11.593 * [taylor]: Taking taylor expansion of 0 in J
11.593 * [backup-simplify]: Simplify 0 into 0
11.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.595 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.595 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.596 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.597 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.598 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.598 * [backup-simplify]: Simplify (- 0) into 0
11.599 * [backup-simplify]: Simplify (+ 0 0) into 0
11.599 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.600 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.600 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.600 * [taylor]: Taking taylor expansion of 0 in K
11.600 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify 0 into 0
11.601 * [taylor]: Taking taylor expansion of 0 in K
11.601 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify 0 into 0
11.601 * [backup-simplify]: Simplify 1 into 1
11.601 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2))))))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
11.601 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
11.601 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.601 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.601 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.602 * [taylor]: Taking taylor expansion of 1/4 in K
11.602 * [backup-simplify]: Simplify 1/4 into 1/4
11.602 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.602 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.602 * [taylor]: Taking taylor expansion of J in K
11.602 * [backup-simplify]: Simplify J into J
11.602 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.602 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.602 * [taylor]: Taking taylor expansion of U in K
11.602 * [backup-simplify]: Simplify U into U
11.602 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.602 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.602 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.602 * [taylor]: Taking taylor expansion of 1/2 in K
11.602 * [backup-simplify]: Simplify 1/2 into 1/2
11.602 * [taylor]: Taking taylor expansion of K in K
11.602 * [backup-simplify]: Simplify 0 into 0
11.602 * [backup-simplify]: Simplify 1 into 1
11.607 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.607 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.607 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.607 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.608 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.608 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.608 * [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)))
11.608 * [taylor]: Taking taylor expansion of 1 in K
11.608 * [backup-simplify]: Simplify 1 into 1
11.608 * [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))))
11.608 * [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)
11.608 * [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))
11.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.609 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.609 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.609 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.609 * [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
11.610 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.610 * [backup-simplify]: Simplify (+ 0 0) into 0
11.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.610 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.610 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.611 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.611 * [taylor]: Taking taylor expansion of 1/4 in J
11.611 * [backup-simplify]: Simplify 1/4 into 1/4
11.611 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.611 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.611 * [taylor]: Taking taylor expansion of J in J
11.611 * [backup-simplify]: Simplify 0 into 0
11.611 * [backup-simplify]: Simplify 1 into 1
11.611 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.611 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.611 * [taylor]: Taking taylor expansion of U in J
11.611 * [backup-simplify]: Simplify U into U
11.611 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.611 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.611 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.611 * [taylor]: Taking taylor expansion of 1/2 in J
11.611 * [backup-simplify]: Simplify 1/2 into 1/2
11.611 * [taylor]: Taking taylor expansion of K in J
11.611 * [backup-simplify]: Simplify K into K
11.611 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.611 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.611 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.611 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.611 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.611 * [backup-simplify]: Simplify (- 0) into 0
11.611 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.612 * [backup-simplify]: Simplify (* 1 1) into 1
11.612 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.612 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.612 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.612 * [taylor]: Taking taylor expansion of 1 in J
11.612 * [backup-simplify]: Simplify 1 into 1
11.612 * [backup-simplify]: Simplify (+ 0 1) into 1
11.613 * [backup-simplify]: Simplify (sqrt 1) into 1
11.613 * [backup-simplify]: Simplify (+ 0 0) into 0
11.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.613 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.613 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.614 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.614 * [taylor]: Taking taylor expansion of 1/4 in U
11.614 * [backup-simplify]: Simplify 1/4 into 1/4
11.614 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.614 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.614 * [taylor]: Taking taylor expansion of J in U
11.614 * [backup-simplify]: Simplify J into J
11.614 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.614 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.614 * [taylor]: Taking taylor expansion of U in U
11.614 * [backup-simplify]: Simplify 0 into 0
11.614 * [backup-simplify]: Simplify 1 into 1
11.614 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.614 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.614 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.614 * [taylor]: Taking taylor expansion of 1/2 in U
11.614 * [backup-simplify]: Simplify 1/2 into 1/2
11.614 * [taylor]: Taking taylor expansion of K in U
11.614 * [backup-simplify]: Simplify K into K
11.614 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.614 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.614 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.614 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.614 * [backup-simplify]: Simplify (- 0) into 0
11.614 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.614 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.615 * [backup-simplify]: Simplify (* 1 1) into 1
11.615 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.615 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.615 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.615 * [taylor]: Taking taylor expansion of 1 in U
11.615 * [backup-simplify]: Simplify 1 into 1
11.615 * [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)))
11.615 * [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)))
11.615 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.615 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.616 * [backup-simplify]: Simplify (+ 0) into 0
11.616 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.616 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.617 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.617 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.617 * [backup-simplify]: Simplify (- 0) into 0
11.617 * [backup-simplify]: Simplify (+ 0 0) into 0
11.618 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.619 * [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
11.619 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.619 * [backup-simplify]: Simplify (+ 0 0) into 0
11.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.619 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.619 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.619 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.619 * [taylor]: Taking taylor expansion of 1/4 in U
11.620 * [backup-simplify]: Simplify 1/4 into 1/4
11.620 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.620 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.620 * [taylor]: Taking taylor expansion of J in U
11.620 * [backup-simplify]: Simplify J into J
11.620 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.620 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.620 * [taylor]: Taking taylor expansion of U in U
11.620 * [backup-simplify]: Simplify 0 into 0
11.620 * [backup-simplify]: Simplify 1 into 1
11.620 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.620 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.620 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.620 * [taylor]: Taking taylor expansion of 1/2 in U
11.620 * [backup-simplify]: Simplify 1/2 into 1/2
11.620 * [taylor]: Taking taylor expansion of K in U
11.620 * [backup-simplify]: Simplify K into K
11.620 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.620 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.620 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.620 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.620 * [backup-simplify]: Simplify (- 0) into 0
11.620 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.620 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.621 * [backup-simplify]: Simplify (* 1 1) into 1
11.621 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.621 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.621 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.621 * [taylor]: Taking taylor expansion of 1 in U
11.621 * [backup-simplify]: Simplify 1 into 1
11.621 * [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)))
11.621 * [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)))
11.621 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.621 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.622 * [backup-simplify]: Simplify (+ 0) into 0
11.622 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.622 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.623 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.623 * [backup-simplify]: Simplify (- 0) into 0
11.623 * [backup-simplify]: Simplify (+ 0 0) into 0
11.623 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.624 * [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
11.625 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.626 * [backup-simplify]: Simplify (+ 0 0) into 0
11.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.626 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
11.626 * [taylor]: Taking taylor expansion of 1/2 in J
11.626 * [backup-simplify]: Simplify 1/2 into 1/2
11.626 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
11.626 * [taylor]: Taking taylor expansion of J in J
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 1 into 1
11.626 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.626 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.626 * [taylor]: Taking taylor expansion of 1/2 in J
11.627 * [backup-simplify]: Simplify 1/2 into 1/2
11.627 * [taylor]: Taking taylor expansion of K in J
11.627 * [backup-simplify]: Simplify K into K
11.627 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.627 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.627 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.627 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.627 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.628 * [backup-simplify]: Simplify (- 0) into 0
11.628 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.628 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
11.628 * [taylor]: Taking taylor expansion of 0 in J
11.628 * [backup-simplify]: Simplify 0 into 0
11.628 * [taylor]: Taking taylor expansion of 0 in K
11.628 * [backup-simplify]: Simplify 0 into 0
11.628 * [backup-simplify]: Simplify 0 into 0
11.628 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
11.628 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
11.628 * [taylor]: Taking taylor expansion of 1/2 in K
11.628 * [backup-simplify]: Simplify 1/2 into 1/2
11.628 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.628 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.628 * [taylor]: Taking taylor expansion of 1/2 in K
11.628 * [backup-simplify]: Simplify 1/2 into 1/2
11.629 * [taylor]: Taking taylor expansion of K in K
11.629 * [backup-simplify]: Simplify 0 into 0
11.629 * [backup-simplify]: Simplify 1 into 1
11.629 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.629 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.629 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.629 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
11.630 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.631 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.632 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.632 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.633 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.634 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.634 * [backup-simplify]: Simplify (- 0) into 0
11.634 * [backup-simplify]: Simplify (+ 0 0) into 0
11.635 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.638 * [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
11.639 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.639 * [backup-simplify]: Simplify (+ 0 1) into 1
11.640 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
11.640 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
11.640 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.640 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.640 * [taylor]: Taking taylor expansion of 1/2 in J
11.640 * [backup-simplify]: Simplify 1/2 into 1/2
11.640 * [taylor]: Taking taylor expansion of K in J
11.640 * [backup-simplify]: Simplify K into K
11.640 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.640 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.640 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.640 * [taylor]: Taking taylor expansion of J in J
11.640 * [backup-simplify]: Simplify 0 into 0
11.640 * [backup-simplify]: Simplify 1 into 1
11.640 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.640 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.641 * [backup-simplify]: Simplify (- 0) into 0
11.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.641 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.641 * [backup-simplify]: Simplify (+ 0) into 0
11.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.643 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.643 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.644 * [backup-simplify]: Simplify (- 0) into 0
11.644 * [backup-simplify]: Simplify (+ 0 0) into 0
11.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
11.645 * [taylor]: Taking taylor expansion of 0 in K
11.645 * [backup-simplify]: Simplify 0 into 0
11.645 * [backup-simplify]: Simplify 0 into 0
11.645 * [taylor]: Taking taylor expansion of 0 in K
11.645 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify 0 into 0
11.646 * [backup-simplify]: Simplify (+ 0) into 0
11.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.647 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.648 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.648 * [backup-simplify]: Simplify (- 0) into 0
11.649 * [backup-simplify]: Simplify (+ 0 0) into 0
11.649 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.650 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
11.650 * [taylor]: Taking taylor expansion of 0 in K
11.650 * [backup-simplify]: Simplify 0 into 0
11.650 * [backup-simplify]: Simplify 0 into 0
11.650 * [backup-simplify]: Simplify 0 into 0
11.650 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
11.650 * [backup-simplify]: Simplify 0 into 0
11.651 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.652 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.653 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.653 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.655 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.655 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.656 * [backup-simplify]: Simplify (- 0) into 0
11.656 * [backup-simplify]: Simplify (+ 0 0) into 0
11.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
11.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.660 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.662 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.662 * [backup-simplify]: Simplify (+ 0 0) into 0
11.662 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
11.662 * [taylor]: Taking taylor expansion of 0 in J
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in K
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.663 * [backup-simplify]: Simplify (sqrt (+ 1 (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
11.663 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
11.664 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.664 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.664 * [taylor]: Taking taylor expansion of 1 in K
11.664 * [backup-simplify]: Simplify 1 into 1
11.664 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.664 * [taylor]: Taking taylor expansion of 1/4 in K
11.664 * [backup-simplify]: Simplify 1/4 into 1/4
11.664 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.664 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.664 * [taylor]: Taking taylor expansion of J in K
11.664 * [backup-simplify]: Simplify J into J
11.664 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.664 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.664 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.664 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.664 * [taylor]: Taking taylor expansion of -1/2 in K
11.664 * [backup-simplify]: Simplify -1/2 into -1/2
11.664 * [taylor]: Taking taylor expansion of K in K
11.664 * [backup-simplify]: Simplify 0 into 0
11.664 * [backup-simplify]: Simplify 1 into 1
11.665 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.665 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.665 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.665 * [taylor]: Taking taylor expansion of U in K
11.665 * [backup-simplify]: Simplify U into U
11.665 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.665 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.665 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.665 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.666 * [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)))
11.666 * [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))))
11.666 * [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)))))
11.667 * [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))))))
11.667 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.667 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.667 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.667 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.668 * [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
11.669 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.669 * [backup-simplify]: Simplify (+ 0 0) into 0
11.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.670 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.670 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.670 * [taylor]: Taking taylor expansion of 1 in J
11.670 * [backup-simplify]: Simplify 1 into 1
11.670 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.670 * [taylor]: Taking taylor expansion of 1/4 in J
11.670 * [backup-simplify]: Simplify 1/4 into 1/4
11.670 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.670 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.670 * [taylor]: Taking taylor expansion of J in J
11.670 * [backup-simplify]: Simplify 0 into 0
11.670 * [backup-simplify]: Simplify 1 into 1
11.670 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.670 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.670 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.670 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.670 * [taylor]: Taking taylor expansion of -1/2 in J
11.670 * [backup-simplify]: Simplify -1/2 into -1/2
11.670 * [taylor]: Taking taylor expansion of K in J
11.670 * [backup-simplify]: Simplify K into K
11.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.671 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.671 * [backup-simplify]: Simplify (- 0) into 0
11.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.672 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.672 * [taylor]: Taking taylor expansion of U in J
11.672 * [backup-simplify]: Simplify U into U
11.672 * [backup-simplify]: Simplify (* 1 1) into 1
11.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.672 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.673 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.673 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.673 * [backup-simplify]: Simplify (+ 1 0) into 1
11.674 * [backup-simplify]: Simplify (sqrt 1) into 1
11.674 * [backup-simplify]: Simplify (+ 0 0) into 0
11.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.675 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.675 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.675 * [taylor]: Taking taylor expansion of 1 in U
11.675 * [backup-simplify]: Simplify 1 into 1
11.675 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.675 * [taylor]: Taking taylor expansion of 1/4 in U
11.675 * [backup-simplify]: Simplify 1/4 into 1/4
11.675 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.675 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.675 * [taylor]: Taking taylor expansion of J in U
11.675 * [backup-simplify]: Simplify J into J
11.675 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.675 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.675 * [taylor]: Taking taylor expansion of -1/2 in U
11.675 * [backup-simplify]: Simplify -1/2 into -1/2
11.675 * [taylor]: Taking taylor expansion of K in U
11.675 * [backup-simplify]: Simplify K into K
11.675 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.675 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.676 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.676 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.676 * [backup-simplify]: Simplify (- 0) into 0
11.676 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.676 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.676 * [taylor]: Taking taylor expansion of U in U
11.676 * [backup-simplify]: Simplify 0 into 0
11.676 * [backup-simplify]: Simplify 1 into 1
11.676 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.677 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.677 * [backup-simplify]: Simplify (* 1 1) into 1
11.677 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.677 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.678 * [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)))
11.678 * [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)))
11.678 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.678 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.679 * [backup-simplify]: Simplify (+ 0) into 0
11.680 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.682 * [backup-simplify]: Simplify (- 0) into 0
11.682 * [backup-simplify]: Simplify (+ 0 0) into 0
11.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.683 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.683 * [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
11.684 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.684 * [backup-simplify]: Simplify (+ 0 0) into 0
11.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.685 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.685 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.685 * [taylor]: Taking taylor expansion of 1 in U
11.685 * [backup-simplify]: Simplify 1 into 1
11.685 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.685 * [taylor]: Taking taylor expansion of 1/4 in U
11.685 * [backup-simplify]: Simplify 1/4 into 1/4
11.685 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.685 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.685 * [taylor]: Taking taylor expansion of J in U
11.685 * [backup-simplify]: Simplify J into J
11.685 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.685 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.685 * [taylor]: Taking taylor expansion of -1/2 in U
11.685 * [backup-simplify]: Simplify -1/2 into -1/2
11.685 * [taylor]: Taking taylor expansion of K in U
11.685 * [backup-simplify]: Simplify K into K
11.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.685 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.686 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.686 * [backup-simplify]: Simplify (- 0) into 0
11.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.686 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.686 * [taylor]: Taking taylor expansion of U in U
11.686 * [backup-simplify]: Simplify 0 into 0
11.686 * [backup-simplify]: Simplify 1 into 1
11.686 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.687 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.687 * [backup-simplify]: Simplify (* 1 1) into 1
11.687 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.687 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.688 * [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)))
11.688 * [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)))
11.688 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.689 * [backup-simplify]: Simplify (+ 0) into 0
11.690 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.690 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.691 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.692 * [backup-simplify]: Simplify (- 0) into 0
11.692 * [backup-simplify]: Simplify (+ 0 0) into 0
11.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.693 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.693 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.694 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.694 * [backup-simplify]: Simplify (+ 0 0) into 0
11.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
11.695 * [taylor]: Taking taylor expansion of 1/2 in J
11.695 * [backup-simplify]: Simplify 1/2 into 1/2
11.695 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
11.695 * [taylor]: Taking taylor expansion of J in J
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 1 into 1
11.695 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.695 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.695 * [taylor]: Taking taylor expansion of -1/2 in J
11.695 * [backup-simplify]: Simplify -1/2 into -1/2
11.695 * [taylor]: Taking taylor expansion of K in J
11.695 * [backup-simplify]: Simplify K into K
11.695 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.695 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.695 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.696 * [backup-simplify]: Simplify (- 0) into 0
11.696 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.696 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
11.696 * [taylor]: Taking taylor expansion of 0 in J
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [taylor]: Taking taylor expansion of 0 in K
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify 0 into 0
11.696 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
11.696 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
11.696 * [taylor]: Taking taylor expansion of 1/2 in K
11.696 * [backup-simplify]: Simplify 1/2 into 1/2
11.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.696 * [taylor]: Taking taylor expansion of -1/2 in K
11.696 * [backup-simplify]: Simplify -1/2 into -1/2
11.696 * [taylor]: Taking taylor expansion of K in K
11.697 * [backup-simplify]: Simplify 0 into 0
11.697 * [backup-simplify]: Simplify 1 into 1
11.697 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.698 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.698 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
11.698 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.700 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.701 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.701 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.702 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.703 * [backup-simplify]: Simplify (- 0) into 0
11.703 * [backup-simplify]: Simplify (+ 0 0) into 0
11.704 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.704 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.705 * [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
11.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
11.706 * [backup-simplify]: Simplify (+ 1 0) into 1
11.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
11.707 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
11.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.707 * [taylor]: Taking taylor expansion of -1/2 in J
11.707 * [backup-simplify]: Simplify -1/2 into -1/2
11.707 * [taylor]: Taking taylor expansion of K in J
11.707 * [backup-simplify]: Simplify K into K
11.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.708 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.708 * [taylor]: Taking taylor expansion of J in J
11.708 * [backup-simplify]: Simplify 0 into 0
11.708 * [backup-simplify]: Simplify 1 into 1
11.708 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.708 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.708 * [backup-simplify]: Simplify (- 0) into 0
11.708 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.708 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.709 * [backup-simplify]: Simplify (+ 0) into 0
11.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.711 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.711 * [backup-simplify]: Simplify (- 0) into 0
11.711 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
11.712 * [taylor]: Taking taylor expansion of 0 in K
11.712 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [taylor]: Taking taylor expansion of 0 in K
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify (+ 0) into 0
11.714 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.714 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.715 * [backup-simplify]: Simplify (- 0) into 0
11.716 * [backup-simplify]: Simplify (+ 0 0) into 0
11.716 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
11.716 * [taylor]: Taking taylor expansion of 0 in K
11.716 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
11.717 * [backup-simplify]: Simplify 0 into 0
11.718 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.720 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.721 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.721 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.722 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.723 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.724 * [backup-simplify]: Simplify (- 0) into 0
11.724 * [backup-simplify]: Simplify (+ 0 0) into 0
11.725 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
11.726 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.727 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.728 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.728 * [backup-simplify]: Simplify (+ 0 0) into 0
11.728 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
11.729 * [taylor]: Taking taylor expansion of 0 in J
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [taylor]: Taking taylor expansion of 0 in K
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify 0 into 0
11.729 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
11.729 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
11.730 * [backup-simplify]: Simplify (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J))
11.730 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in (J U K) around 0
11.730 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in K
11.730 * [taylor]: Taking taylor expansion of -2 in K
11.730 * [backup-simplify]: Simplify -2 into -2
11.730 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in K
11.730 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
11.730 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
11.730 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.730 * [taylor]: Taking taylor expansion of 1/4 in K
11.730 * [backup-simplify]: Simplify 1/4 into 1/4
11.730 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.730 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.730 * [taylor]: Taking taylor expansion of U in K
11.730 * [backup-simplify]: Simplify U into U
11.730 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.730 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.730 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.730 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.730 * [taylor]: Taking taylor expansion of 1/2 in K
11.730 * [backup-simplify]: Simplify 1/2 into 1/2
11.730 * [taylor]: Taking taylor expansion of K in K
11.730 * [backup-simplify]: Simplify 0 into 0
11.730 * [backup-simplify]: Simplify 1 into 1
11.731 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.732 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.732 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.732 * [taylor]: Taking taylor expansion of J in K
11.732 * [backup-simplify]: Simplify J into J
11.732 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.732 * [backup-simplify]: Simplify (* 1 1) into 1
11.732 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.732 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.733 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.733 * [taylor]: Taking taylor expansion of 1 in K
11.733 * [backup-simplify]: Simplify 1 into 1
11.733 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
11.733 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
11.733 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
11.733 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.733 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.734 * [backup-simplify]: Simplify (+ 0) into 0
11.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
11.735 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
11.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
11.736 * [backup-simplify]: Simplify (+ 0 0) into 0
11.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
11.737 * [taylor]: Taking taylor expansion of J in K
11.737 * [backup-simplify]: Simplify J into J
11.737 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in U
11.737 * [taylor]: Taking taylor expansion of -2 in U
11.737 * [backup-simplify]: Simplify -2 into -2
11.737 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in U
11.737 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
11.737 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
11.737 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.737 * [taylor]: Taking taylor expansion of 1/4 in U
11.737 * [backup-simplify]: Simplify 1/4 into 1/4
11.737 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.737 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.737 * [taylor]: Taking taylor expansion of U in U
11.737 * [backup-simplify]: Simplify 0 into 0
11.737 * [backup-simplify]: Simplify 1 into 1
11.737 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.737 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.737 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.737 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.737 * [taylor]: Taking taylor expansion of 1/2 in U
11.737 * [backup-simplify]: Simplify 1/2 into 1/2
11.737 * [taylor]: Taking taylor expansion of K in U
11.737 * [backup-simplify]: Simplify K into K
11.737 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.737 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.738 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.738 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.738 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.738 * [backup-simplify]: Simplify (- 0) into 0
11.738 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.738 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.738 * [taylor]: Taking taylor expansion of J in U
11.738 * [backup-simplify]: Simplify J into J
11.739 * [backup-simplify]: Simplify (* 1 1) into 1
11.739 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.739 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.739 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.739 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.739 * [taylor]: Taking taylor expansion of 1 in U
11.739 * [backup-simplify]: Simplify 1 into 1
11.740 * [backup-simplify]: Simplify (+ 0 1) into 1
11.740 * [backup-simplify]: Simplify (sqrt 1) into 1
11.741 * [backup-simplify]: Simplify (+ 0 0) into 0
11.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.741 * [taylor]: Taking taylor expansion of J in U
11.741 * [backup-simplify]: Simplify J into J
11.741 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in J
11.741 * [taylor]: Taking taylor expansion of -2 in J
11.742 * [backup-simplify]: Simplify -2 into -2
11.742 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in J
11.742 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.742 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.742 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.742 * [taylor]: Taking taylor expansion of 1/4 in J
11.742 * [backup-simplify]: Simplify 1/4 into 1/4
11.742 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.742 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.742 * [taylor]: Taking taylor expansion of U in J
11.742 * [backup-simplify]: Simplify U into U
11.742 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.742 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.742 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.742 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.742 * [taylor]: Taking taylor expansion of 1/2 in J
11.742 * [backup-simplify]: Simplify 1/2 into 1/2
11.742 * [taylor]: Taking taylor expansion of K in J
11.742 * [backup-simplify]: Simplify K into K
11.742 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.742 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.742 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.742 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.742 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.743 * [backup-simplify]: Simplify (- 0) into 0
11.743 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.743 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.743 * [taylor]: Taking taylor expansion of J in J
11.743 * [backup-simplify]: Simplify 0 into 0
11.743 * [backup-simplify]: Simplify 1 into 1
11.743 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.743 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.744 * [backup-simplify]: Simplify (* 1 1) into 1
11.744 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.744 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.744 * [taylor]: Taking taylor expansion of 1 in J
11.744 * [backup-simplify]: Simplify 1 into 1
11.744 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
11.744 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))) 0) into (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))
11.745 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.745 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.746 * [backup-simplify]: Simplify (+ 0) into 0
11.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.747 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.748 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.749 * [backup-simplify]: Simplify (- 0) into 0
11.749 * [backup-simplify]: Simplify (+ 0 0) into 0
11.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.750 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.750 * [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
11.751 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.751 * [backup-simplify]: Simplify (+ 0 0) into 0
11.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.751 * [taylor]: Taking taylor expansion of J in J
11.752 * [backup-simplify]: Simplify 0 into 0
11.752 * [backup-simplify]: Simplify 1 into 1
11.752 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in J
11.752 * [taylor]: Taking taylor expansion of -2 in J
11.752 * [backup-simplify]: Simplify -2 into -2
11.752 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in J
11.752 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
11.752 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
11.752 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.752 * [taylor]: Taking taylor expansion of 1/4 in J
11.752 * [backup-simplify]: Simplify 1/4 into 1/4
11.752 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.752 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.752 * [taylor]: Taking taylor expansion of U in J
11.752 * [backup-simplify]: Simplify U into U
11.752 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.752 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.752 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.752 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.752 * [taylor]: Taking taylor expansion of 1/2 in J
11.752 * [backup-simplify]: Simplify 1/2 into 1/2
11.752 * [taylor]: Taking taylor expansion of K in J
11.752 * [backup-simplify]: Simplify K into K
11.752 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.752 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.752 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.752 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.753 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.753 * [backup-simplify]: Simplify (- 0) into 0
11.753 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.753 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.753 * [taylor]: Taking taylor expansion of J in J
11.753 * [backup-simplify]: Simplify 0 into 0
11.753 * [backup-simplify]: Simplify 1 into 1
11.753 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.754 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.758 * [backup-simplify]: Simplify (* 1 1) into 1
11.758 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.758 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.758 * [taylor]: Taking taylor expansion of 1 in J
11.758 * [backup-simplify]: Simplify 1 into 1
11.759 * [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)))
11.759 * [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)))
11.759 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
11.759 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.761 * [backup-simplify]: Simplify (+ 0) into 0
11.761 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.762 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.763 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.763 * [backup-simplify]: Simplify (- 0) into 0
11.764 * [backup-simplify]: Simplify (+ 0 0) into 0
11.764 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.764 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.765 * [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
11.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
11.766 * [backup-simplify]: Simplify (+ 0 0) into 0
11.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.766 * [taylor]: Taking taylor expansion of J in J
11.766 * [backup-simplify]: Simplify 0 into 0
11.766 * [backup-simplify]: Simplify 1 into 1
11.766 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) into 0
11.767 * [backup-simplify]: Simplify (* -2 0) into 0
11.767 * [taylor]: Taking taylor expansion of 0 in U
11.767 * [backup-simplify]: Simplify 0 into 0
11.767 * [taylor]: Taking taylor expansion of 0 in K
11.767 * [backup-simplify]: Simplify 0 into 0
11.767 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 1) (* 0 0)) into (* 1/2 (/ U (cos (* 1/2 K))))
11.768 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)) into (- (/ U (cos (* 1/2 K))))
11.768 * [taylor]: Taking taylor expansion of (- (/ U (cos (* 1/2 K)))) in U
11.768 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in U
11.768 * [taylor]: Taking taylor expansion of U in U
11.768 * [backup-simplify]: Simplify 0 into 0
11.768 * [backup-simplify]: Simplify 1 into 1
11.768 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.768 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.768 * [taylor]: Taking taylor expansion of 1/2 in U
11.768 * [backup-simplify]: Simplify 1/2 into 1/2
11.768 * [taylor]: Taking taylor expansion of K in U
11.768 * [backup-simplify]: Simplify K into K
11.768 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.769 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.769 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.769 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.769 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.769 * [backup-simplify]: Simplify (- 0) into 0
11.769 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.769 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
11.769 * [taylor]: Taking taylor expansion of 0 in K
11.769 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
11.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.772 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.773 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.774 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.774 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.774 * [backup-simplify]: Simplify (- 0) into 0
11.774 * [backup-simplify]: Simplify (+ 0 0) into 0
11.775 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.775 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.775 * [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
11.776 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
11.776 * [backup-simplify]: Simplify (+ 0 1) into 1
11.777 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
11.777 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 1) (* (/ (cos (* 1/2 K)) U) 0))) into 0
11.778 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0))) into 0
11.778 * [taylor]: Taking taylor expansion of 0 in U
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [taylor]: Taking taylor expansion of 0 in K
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 K)))) into (- (/ 1 (cos (* 1/2 K))))
11.778 * [taylor]: Taking taylor expansion of (- (/ 1 (cos (* 1/2 K)))) in K
11.778 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
11.778 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.778 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.778 * [taylor]: Taking taylor expansion of 1/2 in K
11.778 * [backup-simplify]: Simplify 1/2 into 1/2
11.778 * [taylor]: Taking taylor expansion of K in K
11.778 * [backup-simplify]: Simplify 0 into 0
11.778 * [backup-simplify]: Simplify 1 into 1
11.779 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.779 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.780 * [backup-simplify]: Simplify (/ 1 1) into 1
11.780 * [backup-simplify]: Simplify (- 1) into -1
11.780 * [backup-simplify]: Simplify -1 into -1
11.780 * [taylor]: Taking taylor expansion of 0 in K
11.780 * [backup-simplify]: Simplify 0 into 0
11.780 * [backup-simplify]: Simplify 0 into 0
11.780 * [backup-simplify]: Simplify 0 into 0
11.780 * [backup-simplify]: Simplify 0 into 0
11.781 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
11.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.782 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.782 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
11.784 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.784 * [backup-simplify]: Simplify (- 0) into 0
11.785 * [backup-simplify]: Simplify (+ 0 0) into 0
11.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
11.786 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.786 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
11.787 * [backup-simplify]: Simplify (+ 0 0) into 0
11.787 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
11.788 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (* 1/2 K)) U) 1) (* 0 0)))) into (/ (cos (* 1/2 K)) U)
11.789 * [backup-simplify]: Simplify (+ (* -2 (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (+ (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)))) into (- (* 2 (/ (cos (* 1/2 K)) U)))
11.789 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cos (* 1/2 K)) U))) in U
11.789 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (* 1/2 K)) U)) in U
11.789 * [taylor]: Taking taylor expansion of 2 in U
11.789 * [backup-simplify]: Simplify 2 into 2
11.789 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 K)) U) in U
11.789 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.789 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.789 * [taylor]: Taking taylor expansion of 1/2 in U
11.789 * [backup-simplify]: Simplify 1/2 into 1/2
11.789 * [taylor]: Taking taylor expansion of K in U
11.789 * [backup-simplify]: Simplify K into K
11.789 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.789 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.789 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.789 * [taylor]: Taking taylor expansion of U in U
11.789 * [backup-simplify]: Simplify 0 into 0
11.789 * [backup-simplify]: Simplify 1 into 1
11.789 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.789 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.789 * [backup-simplify]: Simplify (- 0) into 0
11.789 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.789 * [backup-simplify]: Simplify (/ (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.790 * [backup-simplify]: Simplify (+ 0) into 0
11.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.790 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.791 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.791 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.791 * [backup-simplify]: Simplify (- 0) into 0
11.791 * [backup-simplify]: Simplify (+ 0 0) into 0
11.792 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 K)) (/ 0 1)))) into 0
11.792 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (* 1/2 K)))) into 0
11.793 * [backup-simplify]: Simplify (- 0) into 0
11.793 * [taylor]: Taking taylor expansion of 0 in K
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [taylor]: Taking taylor expansion of 0 in K
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify 0 into 0
11.793 * [backup-simplify]: Simplify (+ 0) into 0
11.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.794 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.795 * [backup-simplify]: Simplify (- 0) into 0
11.795 * [backup-simplify]: Simplify (+ 0 0) into 0
11.795 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
11.795 * [backup-simplify]: Simplify (- 0) into 0
11.795 * [taylor]: Taking taylor expansion of 0 in K
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify 0 into 0
11.795 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
11.796 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (sqrt (+ 1 (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))
11.796 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in (J U K) around 0
11.796 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in K
11.796 * [taylor]: Taking taylor expansion of -2 in K
11.796 * [backup-simplify]: Simplify -2 into -2
11.796 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in K
11.796 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
11.796 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
11.796 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.796 * [taylor]: Taking taylor expansion of 1/4 in K
11.796 * [backup-simplify]: Simplify 1/4 into 1/4
11.796 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.796 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.796 * [taylor]: Taking taylor expansion of J in K
11.796 * [backup-simplify]: Simplify J into J
11.796 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.796 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.796 * [taylor]: Taking taylor expansion of U in K
11.796 * [backup-simplify]: Simplify U into U
11.796 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.796 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.796 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.796 * [taylor]: Taking taylor expansion of 1/2 in K
11.796 * [backup-simplify]: Simplify 1/2 into 1/2
11.796 * [taylor]: Taking taylor expansion of K in K
11.796 * [backup-simplify]: Simplify 0 into 0
11.796 * [backup-simplify]: Simplify 1 into 1
11.796 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.796 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.797 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.797 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.797 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.797 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.797 * [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)))
11.797 * [taylor]: Taking taylor expansion of 1 in K
11.797 * [backup-simplify]: Simplify 1 into 1
11.797 * [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))))
11.797 * [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)
11.797 * [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))
11.798 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.798 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.798 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.798 * [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
11.799 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.799 * [backup-simplify]: Simplify (+ 0 0) into 0
11.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
11.799 * [taylor]: Taking taylor expansion of (/ 1 J) in K
11.799 * [taylor]: Taking taylor expansion of J in K
11.799 * [backup-simplify]: Simplify J into J
11.799 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
11.799 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in U
11.799 * [taylor]: Taking taylor expansion of -2 in U
11.799 * [backup-simplify]: Simplify -2 into -2
11.799 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in U
11.799 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
11.799 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
11.799 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.799 * [taylor]: Taking taylor expansion of 1/4 in U
11.799 * [backup-simplify]: Simplify 1/4 into 1/4
11.799 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.799 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.799 * [taylor]: Taking taylor expansion of J in U
11.799 * [backup-simplify]: Simplify J into J
11.799 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.799 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.800 * [taylor]: Taking taylor expansion of U in U
11.800 * [backup-simplify]: Simplify 0 into 0
11.800 * [backup-simplify]: Simplify 1 into 1
11.800 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.800 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.800 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.800 * [taylor]: Taking taylor expansion of 1/2 in U
11.800 * [backup-simplify]: Simplify 1/2 into 1/2
11.800 * [taylor]: Taking taylor expansion of K in U
11.800 * [backup-simplify]: Simplify K into K
11.800 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.800 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.800 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.800 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.800 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.800 * [backup-simplify]: Simplify (- 0) into 0
11.800 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.800 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.801 * [backup-simplify]: Simplify (* 1 1) into 1
11.801 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.801 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.801 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.801 * [taylor]: Taking taylor expansion of 1 in U
11.801 * [backup-simplify]: Simplify 1 into 1
11.801 * [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)))
11.801 * [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)))
11.801 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
11.801 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.802 * [backup-simplify]: Simplify (+ 0) into 0
11.802 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.802 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.802 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.803 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.803 * [backup-simplify]: Simplify (- 0) into 0
11.803 * [backup-simplify]: Simplify (+ 0 0) into 0
11.803 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.804 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.805 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
11.805 * [backup-simplify]: Simplify (+ 0 0) into 0
11.805 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
11.805 * [taylor]: Taking taylor expansion of (/ 1 J) in U
11.805 * [taylor]: Taking taylor expansion of J in U
11.805 * [backup-simplify]: Simplify J into J
11.805 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
11.805 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in J
11.805 * [taylor]: Taking taylor expansion of -2 in J
11.805 * [backup-simplify]: Simplify -2 into -2
11.805 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in J
11.805 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.805 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.805 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.805 * [taylor]: Taking taylor expansion of 1/4 in J
11.805 * [backup-simplify]: Simplify 1/4 into 1/4
11.805 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.805 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.805 * [taylor]: Taking taylor expansion of J in J
11.805 * [backup-simplify]: Simplify 0 into 0
11.805 * [backup-simplify]: Simplify 1 into 1
11.805 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.805 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.805 * [taylor]: Taking taylor expansion of U in J
11.805 * [backup-simplify]: Simplify U into U
11.805 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.806 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.806 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.806 * [taylor]: Taking taylor expansion of 1/2 in J
11.806 * [backup-simplify]: Simplify 1/2 into 1/2
11.806 * [taylor]: Taking taylor expansion of K in J
11.806 * [backup-simplify]: Simplify K into K
11.806 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.806 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.806 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.806 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.806 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.806 * [backup-simplify]: Simplify (- 0) into 0
11.806 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.806 * [backup-simplify]: Simplify (* 1 1) into 1
11.806 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.807 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.807 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.807 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.807 * [taylor]: Taking taylor expansion of 1 in J
11.807 * [backup-simplify]: Simplify 1 into 1
11.807 * [backup-simplify]: Simplify (+ 0 1) into 1
11.807 * [backup-simplify]: Simplify (sqrt 1) into 1
11.808 * [backup-simplify]: Simplify (+ 0 0) into 0
11.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.808 * [taylor]: Taking taylor expansion of (/ 1 J) in J
11.808 * [taylor]: Taking taylor expansion of J in J
11.808 * [backup-simplify]: Simplify 0 into 0
11.808 * [backup-simplify]: Simplify 1 into 1
11.808 * [backup-simplify]: Simplify (/ 1 1) into 1
11.808 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in J
11.808 * [taylor]: Taking taylor expansion of -2 in J
11.808 * [backup-simplify]: Simplify -2 into -2
11.808 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in J
11.808 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
11.808 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
11.808 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.808 * [taylor]: Taking taylor expansion of 1/4 in J
11.809 * [backup-simplify]: Simplify 1/4 into 1/4
11.809 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.809 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.809 * [taylor]: Taking taylor expansion of J in J
11.809 * [backup-simplify]: Simplify 0 into 0
11.809 * [backup-simplify]: Simplify 1 into 1
11.809 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.809 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.809 * [taylor]: Taking taylor expansion of U in J
11.809 * [backup-simplify]: Simplify U into U
11.809 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.809 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.809 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.809 * [taylor]: Taking taylor expansion of 1/2 in J
11.809 * [backup-simplify]: Simplify 1/2 into 1/2
11.809 * [taylor]: Taking taylor expansion of K in J
11.809 * [backup-simplify]: Simplify K into K
11.809 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.809 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.809 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.809 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.809 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.809 * [backup-simplify]: Simplify (- 0) into 0
11.809 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.810 * [backup-simplify]: Simplify (* 1 1) into 1
11.810 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.810 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.810 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.810 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.810 * [taylor]: Taking taylor expansion of 1 in J
11.810 * [backup-simplify]: Simplify 1 into 1
11.810 * [backup-simplify]: Simplify (+ 0 1) into 1
11.810 * [backup-simplify]: Simplify (sqrt 1) into 1
11.811 * [backup-simplify]: Simplify (+ 0 0) into 0
11.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.811 * [taylor]: Taking taylor expansion of (/ 1 J) in J
11.811 * [taylor]: Taking taylor expansion of J in J
11.811 * [backup-simplify]: Simplify 0 into 0
11.811 * [backup-simplify]: Simplify 1 into 1
11.811 * [backup-simplify]: Simplify (/ 1 1) into 1
11.812 * [backup-simplify]: Simplify (* 1 1) into 1
11.812 * [backup-simplify]: Simplify (* -2 1) into -2
11.812 * [taylor]: Taking taylor expansion of -2 in U
11.812 * [backup-simplify]: Simplify -2 into -2
11.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.814 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1)) into 0
11.814 * [taylor]: Taking taylor expansion of 0 in U
11.814 * [backup-simplify]: Simplify 0 into 0
11.814 * [taylor]: Taking taylor expansion of -2 in K
11.814 * [backup-simplify]: Simplify -2 into -2
11.814 * [backup-simplify]: Simplify -2 into -2
11.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.815 * [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)))
11.816 * [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))))
11.817 * [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)))
11.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1))) into (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
11.820 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
11.820 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
11.820 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.820 * [taylor]: Taking taylor expansion of 1/4 in U
11.820 * [backup-simplify]: Simplify 1/4 into 1/4
11.820 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.820 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.820 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.820 * [taylor]: Taking taylor expansion of U in U
11.820 * [backup-simplify]: Simplify 0 into 0
11.820 * [backup-simplify]: Simplify 1 into 1
11.820 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.820 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.820 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.820 * [taylor]: Taking taylor expansion of 1/2 in U
11.820 * [backup-simplify]: Simplify 1/2 into 1/2
11.820 * [taylor]: Taking taylor expansion of K in U
11.820 * [backup-simplify]: Simplify K into K
11.820 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.820 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.820 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.820 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.820 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.821 * [backup-simplify]: Simplify (- 0) into 0
11.821 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.821 * [backup-simplify]: Simplify (* 1 1) into 1
11.822 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.822 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.822 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
11.822 * [backup-simplify]: Simplify (+ 0) into 0
11.823 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.823 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.824 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.824 * [backup-simplify]: Simplify (- 0) into 0
11.825 * [backup-simplify]: Simplify (+ 0 0) into 0
11.825 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.826 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.827 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
11.827 * [backup-simplify]: Simplify (- 0) into 0
11.828 * [taylor]: Taking taylor expansion of 0 in K
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [taylor]: Taking taylor expansion of 0 in K
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [taylor]: Taking taylor expansion of 0 in K
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.828 * [backup-simplify]: Simplify 0 into 0
11.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.830 * [backup-simplify]: Simplify (+ 0) into 0
11.831 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
11.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
11.832 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.832 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
11.832 * [backup-simplify]: Simplify (- 0) into 0
11.833 * [backup-simplify]: Simplify (+ 0 0) into 0
11.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
11.833 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.833 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
11.834 * [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
11.834 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
11.835 * [backup-simplify]: Simplify (+ 0 0) into 0
11.835 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
11.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 1)))) into 0
11.838 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) (+ (* 0 0) (* 0 1)))) into 0
11.838 * [taylor]: Taking taylor expansion of 0 in U
11.838 * [backup-simplify]: Simplify 0 into 0
11.839 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.839 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.839 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.840 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.840 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.841 * [backup-simplify]: Simplify (- 0) into 0
11.841 * [backup-simplify]: Simplify (+ 0 0) into 0
11.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
11.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
11.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
11.844 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
11.845 * [backup-simplify]: Simplify (- 0) into 0
11.845 * [taylor]: Taking taylor expansion of 0 in K
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [taylor]: Taking taylor expansion of 0 in K
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify (* -2 (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 J)
11.846 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (sqrt (+ 1 (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))))))) into (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
11.846 * [approximate]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J U K) around 0
11.846 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
11.846 * [taylor]: Taking taylor expansion of 2 in K
11.846 * [backup-simplify]: Simplify 2 into 2
11.846 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
11.846 * [taylor]: Taking taylor expansion of (/ 1 J) in K
11.846 * [taylor]: Taking taylor expansion of J in K
11.846 * [backup-simplify]: Simplify J into J
11.846 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
11.846 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
11.846 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
11.846 * [taylor]: Taking taylor expansion of 1 in K
11.846 * [backup-simplify]: Simplify 1 into 1
11.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
11.846 * [taylor]: Taking taylor expansion of 1/4 in K
11.846 * [backup-simplify]: Simplify 1/4 into 1/4
11.846 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
11.846 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.846 * [taylor]: Taking taylor expansion of J in K
11.846 * [backup-simplify]: Simplify J into J
11.846 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
11.846 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
11.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
11.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
11.846 * [taylor]: Taking taylor expansion of -1/2 in K
11.846 * [backup-simplify]: Simplify -1/2 into -1/2
11.847 * [taylor]: Taking taylor expansion of K in K
11.847 * [backup-simplify]: Simplify 0 into 0
11.847 * [backup-simplify]: Simplify 1 into 1
11.847 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
11.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.847 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.847 * [taylor]: Taking taylor expansion of U in K
11.847 * [backup-simplify]: Simplify U into U
11.847 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.847 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.848 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.848 * [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)))
11.848 * [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))))
11.848 * [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)))))
11.849 * [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))))))
11.849 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.849 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.849 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.849 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.850 * [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
11.851 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.851 * [backup-simplify]: Simplify (+ 0 0) into 0
11.851 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
11.851 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
11.851 * [taylor]: Taking taylor expansion of 2 in U
11.852 * [backup-simplify]: Simplify 2 into 2
11.852 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
11.852 * [taylor]: Taking taylor expansion of (/ 1 J) in U
11.852 * [taylor]: Taking taylor expansion of J in U
11.852 * [backup-simplify]: Simplify J into J
11.852 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
11.852 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
11.852 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
11.852 * [taylor]: Taking taylor expansion of 1 in U
11.852 * [backup-simplify]: Simplify 1 into 1
11.852 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.852 * [taylor]: Taking taylor expansion of 1/4 in U
11.852 * [backup-simplify]: Simplify 1/4 into 1/4
11.852 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.852 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.852 * [taylor]: Taking taylor expansion of J in U
11.852 * [backup-simplify]: Simplify J into J
11.852 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.852 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.852 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.852 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.852 * [taylor]: Taking taylor expansion of -1/2 in U
11.852 * [backup-simplify]: Simplify -1/2 into -1/2
11.852 * [taylor]: Taking taylor expansion of K in U
11.852 * [backup-simplify]: Simplify K into K
11.852 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.852 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.852 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.852 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.853 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.853 * [backup-simplify]: Simplify (- 0) into 0
11.853 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.853 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.853 * [taylor]: Taking taylor expansion of U in U
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.854 * [backup-simplify]: Simplify (* 1 1) into 1
11.854 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.854 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
11.854 * [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)))
11.854 * [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)))
11.855 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
11.855 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.856 * [backup-simplify]: Simplify (+ 0) into 0
11.856 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.856 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.857 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.858 * [backup-simplify]: Simplify (- 0) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.859 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.859 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.859 * [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
11.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
11.860 * [backup-simplify]: Simplify (+ 0 0) into 0
11.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
11.861 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
11.861 * [taylor]: Taking taylor expansion of 2 in J
11.861 * [backup-simplify]: Simplify 2 into 2
11.861 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
11.861 * [taylor]: Taking taylor expansion of (/ 1 J) in J
11.861 * [taylor]: Taking taylor expansion of J in J
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (/ 1 1) into 1
11.861 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.861 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.861 * [taylor]: Taking taylor expansion of 1 in J
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.861 * [taylor]: Taking taylor expansion of 1/4 in J
11.862 * [backup-simplify]: Simplify 1/4 into 1/4
11.862 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.862 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.862 * [taylor]: Taking taylor expansion of J in J
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 1 into 1
11.862 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.862 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.862 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.862 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.862 * [taylor]: Taking taylor expansion of -1/2 in J
11.862 * [backup-simplify]: Simplify -1/2 into -1/2
11.862 * [taylor]: Taking taylor expansion of K in J
11.862 * [backup-simplify]: Simplify K into K
11.862 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.862 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.862 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.862 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.862 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.863 * [backup-simplify]: Simplify (- 0) into 0
11.863 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.863 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.863 * [taylor]: Taking taylor expansion of U in J
11.863 * [backup-simplify]: Simplify U into U
11.863 * [backup-simplify]: Simplify (* 1 1) into 1
11.863 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.863 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.863 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.864 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.864 * [backup-simplify]: Simplify (+ 1 0) into 1
11.864 * [backup-simplify]: Simplify (sqrt 1) into 1
11.865 * [backup-simplify]: Simplify (+ 0 0) into 0
11.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.866 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
11.866 * [taylor]: Taking taylor expansion of 2 in J
11.866 * [backup-simplify]: Simplify 2 into 2
11.866 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
11.866 * [taylor]: Taking taylor expansion of (/ 1 J) in J
11.866 * [taylor]: Taking taylor expansion of J in J
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [backup-simplify]: Simplify 1 into 1
11.866 * [backup-simplify]: Simplify (/ 1 1) into 1
11.866 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
11.866 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
11.866 * [taylor]: Taking taylor expansion of 1 in J
11.866 * [backup-simplify]: Simplify 1 into 1
11.866 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
11.866 * [taylor]: Taking taylor expansion of 1/4 in J
11.866 * [backup-simplify]: Simplify 1/4 into 1/4
11.866 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
11.866 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.866 * [taylor]: Taking taylor expansion of J in J
11.866 * [backup-simplify]: Simplify 0 into 0
11.866 * [backup-simplify]: Simplify 1 into 1
11.866 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
11.867 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
11.867 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
11.867 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
11.867 * [taylor]: Taking taylor expansion of -1/2 in J
11.867 * [backup-simplify]: Simplify -1/2 into -1/2
11.867 * [taylor]: Taking taylor expansion of K in J
11.867 * [backup-simplify]: Simplify K into K
11.867 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.867 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.867 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.867 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.867 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.867 * [backup-simplify]: Simplify (- 0) into 0
11.867 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.868 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.868 * [taylor]: Taking taylor expansion of U in J
11.868 * [backup-simplify]: Simplify U into U
11.868 * [backup-simplify]: Simplify (* 1 1) into 1
11.868 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.868 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.868 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
11.869 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
11.869 * [backup-simplify]: Simplify (+ 1 0) into 1
11.869 * [backup-simplify]: Simplify (sqrt 1) into 1
11.870 * [backup-simplify]: Simplify (+ 0 0) into 0
11.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.871 * [backup-simplify]: Simplify (* 1 1) into 1
11.871 * [backup-simplify]: Simplify (* 2 1) into 2
11.871 * [taylor]: Taking taylor expansion of 2 in U
11.871 * [backup-simplify]: Simplify 2 into 2
11.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.873 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
11.873 * [taylor]: Taking taylor expansion of 0 in U
11.873 * [backup-simplify]: Simplify 0 into 0
11.873 * [taylor]: Taking taylor expansion of 2 in K
11.873 * [backup-simplify]: Simplify 2 into 2
11.873 * [backup-simplify]: Simplify 2 into 2
11.873 * [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)))
11.874 * [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))))
11.874 * [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)))
11.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.876 * [backup-simplify]: Simplify (+ (* 1 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
11.876 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
11.876 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
11.876 * [taylor]: Taking taylor expansion of 1/4 in U
11.876 * [backup-simplify]: Simplify 1/4 into 1/4
11.876 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
11.876 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
11.876 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
11.876 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
11.876 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
11.876 * [taylor]: Taking taylor expansion of -1/2 in U
11.876 * [backup-simplify]: Simplify -1/2 into -1/2
11.876 * [taylor]: Taking taylor expansion of K in U
11.876 * [backup-simplify]: Simplify K into K
11.876 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
11.876 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
11.876 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
11.876 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
11.877 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
11.880 * [backup-simplify]: Simplify (- 0) into 0
11.880 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
11.880 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.880 * [taylor]: Taking taylor expansion of U in U
11.880 * [backup-simplify]: Simplify 0 into 0
11.880 * [backup-simplify]: Simplify 1 into 1
11.880 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
11.881 * [backup-simplify]: Simplify (* 1 1) into 1
11.881 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
11.881 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
11.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.882 * [backup-simplify]: Simplify (+ 0) into 0
11.882 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.882 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.883 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.883 * [backup-simplify]: Simplify (- 0) into 0
11.884 * [backup-simplify]: Simplify (+ 0 0) into 0
11.884 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.884 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
11.884 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.885 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
11.885 * [taylor]: Taking taylor expansion of 0 in K
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [taylor]: Taking taylor expansion of 0 in K
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [taylor]: Taking taylor expansion of 0 in K
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify 0 into 0
11.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.885 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
11.886 * [backup-simplify]: Simplify (+ 0) into 0
11.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
11.886 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
11.886 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.887 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
11.887 * [backup-simplify]: Simplify (- 0) into 0
11.887 * [backup-simplify]: Simplify (+ 0 0) into 0
11.887 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
11.887 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
11.888 * [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
11.888 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
11.888 * [backup-simplify]: Simplify (+ 0 0) into 0
11.889 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.890 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
11.891 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1)))) into 0
11.891 * [taylor]: Taking taylor expansion of 0 in U
11.891 * [backup-simplify]: Simplify 0 into 0
11.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.892 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.893 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
11.893 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.894 * [backup-simplify]: Simplify (- 0) into 0
11.894 * [backup-simplify]: Simplify (+ 0 0) into 0
11.894 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
11.895 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.895 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
11.895 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
11.895 * [taylor]: Taking taylor expansion of 0 in K
11.895 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify 0 into 0
11.896 * [taylor]: Taking taylor expansion of 0 in K
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify (* 2 (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 J)
11.896 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2)
11.896 * [backup-simplify]: Simplify (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
11.896 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in (U J K) around 0
11.896 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
11.896 * [taylor]: Taking taylor expansion of 1/4 in K
11.896 * [backup-simplify]: Simplify 1/4 into 1/4
11.896 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
11.896 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.896 * [taylor]: Taking taylor expansion of U in K
11.896 * [backup-simplify]: Simplify U into U
11.896 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
11.896 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.896 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.896 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.896 * [taylor]: Taking taylor expansion of 1/2 in K
11.896 * [backup-simplify]: Simplify 1/2 into 1/2
11.896 * [taylor]: Taking taylor expansion of K in K
11.896 * [backup-simplify]: Simplify 0 into 0
11.896 * [backup-simplify]: Simplify 1 into 1
11.896 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.897 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.897 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.897 * [taylor]: Taking taylor expansion of J in K
11.897 * [backup-simplify]: Simplify J into J
11.897 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.897 * [backup-simplify]: Simplify (* 1 1) into 1
11.897 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.897 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
11.897 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
11.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
11.897 * [taylor]: Taking taylor expansion of 1/4 in J
11.897 * [backup-simplify]: Simplify 1/4 into 1/4
11.897 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.897 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.897 * [taylor]: Taking taylor expansion of U in J
11.898 * [backup-simplify]: Simplify U into U
11.898 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.898 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.898 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.898 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.898 * [taylor]: Taking taylor expansion of 1/2 in J
11.898 * [backup-simplify]: Simplify 1/2 into 1/2
11.898 * [taylor]: Taking taylor expansion of K in J
11.898 * [backup-simplify]: Simplify K into K
11.898 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.898 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.898 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.898 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.898 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.898 * [backup-simplify]: Simplify (- 0) into 0
11.898 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.898 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.898 * [taylor]: Taking taylor expansion of J in J
11.898 * [backup-simplify]: Simplify 0 into 0
11.898 * [backup-simplify]: Simplify 1 into 1
11.898 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.898 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.899 * [backup-simplify]: Simplify (* 1 1) into 1
11.899 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.899 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
11.899 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.899 * [taylor]: Taking taylor expansion of 1/4 in U
11.899 * [backup-simplify]: Simplify 1/4 into 1/4
11.899 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.899 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.899 * [taylor]: Taking taylor expansion of U in U
11.899 * [backup-simplify]: Simplify 0 into 0
11.899 * [backup-simplify]: Simplify 1 into 1
11.899 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.899 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.899 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.899 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.899 * [taylor]: Taking taylor expansion of 1/2 in U
11.899 * [backup-simplify]: Simplify 1/2 into 1/2
11.899 * [taylor]: Taking taylor expansion of K in U
11.899 * [backup-simplify]: Simplify K into K
11.899 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.899 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.899 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.899 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.899 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.899 * [backup-simplify]: Simplify (- 0) into 0
11.900 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.900 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.900 * [taylor]: Taking taylor expansion of J in U
11.900 * [backup-simplify]: Simplify J into J
11.900 * [backup-simplify]: Simplify (* 1 1) into 1
11.900 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.900 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.900 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.900 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
11.900 * [taylor]: Taking taylor expansion of 1/4 in U
11.900 * [backup-simplify]: Simplify 1/4 into 1/4
11.900 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
11.900 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.900 * [taylor]: Taking taylor expansion of U in U
11.900 * [backup-simplify]: Simplify 0 into 0
11.900 * [backup-simplify]: Simplify 1 into 1
11.900 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
11.900 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
11.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
11.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
11.900 * [taylor]: Taking taylor expansion of 1/2 in U
11.900 * [backup-simplify]: Simplify 1/2 into 1/2
11.900 * [taylor]: Taking taylor expansion of K in U
11.900 * [backup-simplify]: Simplify K into K
11.900 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.900 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.901 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.901 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.901 * [backup-simplify]: Simplify (- 0) into 0
11.901 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.901 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.901 * [taylor]: Taking taylor expansion of J in U
11.901 * [backup-simplify]: Simplify J into J
11.902 * [backup-simplify]: Simplify (* 1 1) into 1
11.902 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.902 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.902 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
11.902 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
11.902 * [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)))
11.902 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
11.902 * [taylor]: Taking taylor expansion of 1/4 in J
11.902 * [backup-simplify]: Simplify 1/4 into 1/4
11.902 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
11.902 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
11.903 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
11.903 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
11.903 * [taylor]: Taking taylor expansion of 1/2 in J
11.903 * [backup-simplify]: Simplify 1/2 into 1/2
11.903 * [taylor]: Taking taylor expansion of K in J
11.903 * [backup-simplify]: Simplify K into K
11.903 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
11.903 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
11.903 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
11.903 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
11.903 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
11.903 * [backup-simplify]: Simplify (- 0) into 0
11.903 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
11.903 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.904 * [taylor]: Taking taylor expansion of J in J
11.904 * [backup-simplify]: Simplify 0 into 0
11.904 * [backup-simplify]: Simplify 1 into 1
11.904 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
11.904 * [backup-simplify]: Simplify (* 1 1) into 1
11.904 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
11.904 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
11.904 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
11.904 * [taylor]: Taking taylor expansion of 1/4 in K
11.904 * [backup-simplify]: Simplify 1/4 into 1/4
11.904 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
11.904 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
11.904 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
11.905 * [taylor]: Taking taylor expansion of 1/2 in K
11.905 * [backup-simplify]: Simplify 1/2 into 1/2
11.905 * [taylor]: Taking taylor expansion of K in K
11.905 * [backup-simplify]: Simplify 0 into 0
11.905 * [backup-simplify]: Simplify 1 into 1
11.905 * [backup-simplify]: Simplify (* 1/2 0) into 0
11.906 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
11.906 * [backup-simplify]: Simplify (* 1 1) into 1
11.907 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
11.907 * [backup-simplify]: Simplify 1/4 into 1/4
11.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.907 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
11.908 * [backup-simplify]: Simplify (+ 0) into 0
11.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.910 * [backup-simplify]: Simplify (- 0) into 0
11.911 * [backup-simplify]: Simplify (+ 0 0) into 0
11.911 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.911 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
11.912 * [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
11.912 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
11.912 * [taylor]: Taking taylor expansion of 0 in J
11.912 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.913 * [backup-simplify]: Simplify (+ 0) into 0
11.914 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
11.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
11.915 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
11.916 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
11.916 * [backup-simplify]: Simplify (- 0) into 0
11.916 * [backup-simplify]: Simplify (+ 0 0) into 0
11.917 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
11.917 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
11.918 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.918 * [taylor]: Taking taylor expansion of 0 in K
11.918 * [backup-simplify]: Simplify 0 into 0
11.918 * [backup-simplify]: Simplify 0 into 0
11.918 * [backup-simplify]: Simplify (+ 0) into 0
11.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
11.920 * [backup-simplify]: Simplify 0 into 0
11.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.921 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
11.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.923 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.923 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.924 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.925 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.925 * [backup-simplify]: Simplify (- 0) into 0
11.926 * [backup-simplify]: Simplify (+ 0 0) into 0
11.926 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.927 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
11.927 * [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
11.928 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
11.928 * [taylor]: Taking taylor expansion of 0 in J
11.928 * [backup-simplify]: Simplify 0 into 0
11.929 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.930 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
11.931 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
11.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
11.933 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
11.933 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
11.934 * [backup-simplify]: Simplify (- 0) into 0
11.934 * [backup-simplify]: Simplify (+ 0 0) into 0
11.935 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
11.935 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
11.936 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.936 * [taylor]: Taking taylor expansion of 0 in K
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 0 into 0
11.936 * [backup-simplify]: Simplify 0 into 0
11.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
11.938 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
11.940 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
11.940 * [backup-simplify]: Simplify 1/16 into 1/16
11.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.942 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
11.943 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.943 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.945 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
11.946 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.947 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.948 * [backup-simplify]: Simplify (- 0) into 0
11.948 * [backup-simplify]: Simplify (+ 0 0) into 0
11.949 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
11.950 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
11.951 * [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
11.952 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
11.952 * [taylor]: Taking taylor expansion of 0 in J
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [taylor]: Taking taylor expansion of 0 in K
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [backup-simplify]: Simplify 0 into 0
11.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.954 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.955 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
11.958 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
11.959 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
11.959 * [backup-simplify]: Simplify (- 0) into 0
11.959 * [backup-simplify]: Simplify (+ 0 0) into 0
11.960 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
11.961 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.962 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
11.962 * [taylor]: Taking taylor expansion of 0 in K
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 0 into 0
11.962 * [backup-simplify]: Simplify 0 into 0
11.963 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
11.965 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
11.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
11.968 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
11.968 * [backup-simplify]: Simplify 0 into 0
11.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.970 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
11.973 * [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
11.974 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
11.977 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
11.978 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
11.979 * [backup-simplify]: Simplify (- 0) into 0
11.979 * [backup-simplify]: Simplify (+ 0 0) into 0
11.981 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
11.982 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
11.983 * [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
11.985 * [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
11.985 * [taylor]: Taking taylor expansion of 0 in J
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [taylor]: Taking taylor expansion of 0 in K
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/4 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))
11.986 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2))))) into (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
11.986 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in (U J K) around 0
11.986 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
11.986 * [taylor]: Taking taylor expansion of 1/4 in K
11.986 * [backup-simplify]: Simplify 1/4 into 1/4
11.986 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
11.986 * [taylor]: Taking taylor expansion of (pow J 2) in K
11.986 * [taylor]: Taking taylor expansion of J in K
11.986 * [backup-simplify]: Simplify J into J
11.986 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
11.987 * [taylor]: Taking taylor expansion of (pow U 2) in K
11.987 * [taylor]: Taking taylor expansion of U in K
11.987 * [backup-simplify]: Simplify U into U
11.987 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.987 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.987 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.987 * [taylor]: Taking taylor expansion of 1/2 in K
11.987 * [backup-simplify]: Simplify 1/2 into 1/2
11.987 * [taylor]: Taking taylor expansion of K in K
11.987 * [backup-simplify]: Simplify 0 into 0
11.987 * [backup-simplify]: Simplify 1 into 1
11.987 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.987 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.987 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.987 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.988 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.988 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.988 * [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)))
11.988 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
11.988 * [taylor]: Taking taylor expansion of 1/4 in J
11.988 * [backup-simplify]: Simplify 1/4 into 1/4
11.988 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
11.988 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.988 * [taylor]: Taking taylor expansion of J in J
11.988 * [backup-simplify]: Simplify 0 into 0
11.988 * [backup-simplify]: Simplify 1 into 1
11.989 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
11.989 * [taylor]: Taking taylor expansion of (pow U 2) in J
11.989 * [taylor]: Taking taylor expansion of U in J
11.989 * [backup-simplify]: Simplify U into U
11.989 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.989 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.989 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.989 * [taylor]: Taking taylor expansion of 1/2 in J
11.989 * [backup-simplify]: Simplify 1/2 into 1/2
11.989 * [taylor]: Taking taylor expansion of K in J
11.989 * [backup-simplify]: Simplify K into K
11.989 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.989 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.989 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.989 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.989 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.990 * [backup-simplify]: Simplify (- 0) into 0
11.990 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.990 * [backup-simplify]: Simplify (* 1 1) into 1
11.990 * [backup-simplify]: Simplify (* U U) into (pow U 2)
11.990 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.991 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
11.991 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
11.991 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.991 * [taylor]: Taking taylor expansion of 1/4 in U
11.991 * [backup-simplify]: Simplify 1/4 into 1/4
11.991 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.991 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.991 * [taylor]: Taking taylor expansion of J in U
11.991 * [backup-simplify]: Simplify J into J
11.991 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.991 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.991 * [taylor]: Taking taylor expansion of U in U
11.991 * [backup-simplify]: Simplify 0 into 0
11.991 * [backup-simplify]: Simplify 1 into 1
11.991 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.991 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.991 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.991 * [taylor]: Taking taylor expansion of 1/2 in U
11.991 * [backup-simplify]: Simplify 1/2 into 1/2
11.991 * [taylor]: Taking taylor expansion of K in U
11.991 * [backup-simplify]: Simplify K into K
11.991 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.991 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.991 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.992 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.992 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.992 * [backup-simplify]: Simplify (- 0) into 0
11.992 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.992 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.993 * [backup-simplify]: Simplify (* 1 1) into 1
11.993 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.993 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.993 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.993 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
11.993 * [taylor]: Taking taylor expansion of 1/4 in U
11.993 * [backup-simplify]: Simplify 1/4 into 1/4
11.993 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
11.993 * [taylor]: Taking taylor expansion of (pow J 2) in U
11.993 * [taylor]: Taking taylor expansion of J in U
11.993 * [backup-simplify]: Simplify J into J
11.993 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
11.993 * [taylor]: Taking taylor expansion of (pow U 2) in U
11.993 * [taylor]: Taking taylor expansion of U in U
11.993 * [backup-simplify]: Simplify 0 into 0
11.993 * [backup-simplify]: Simplify 1 into 1
11.993 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
11.993 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
11.993 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
11.993 * [taylor]: Taking taylor expansion of 1/2 in U
11.994 * [backup-simplify]: Simplify 1/2 into 1/2
11.994 * [taylor]: Taking taylor expansion of K in U
11.994 * [backup-simplify]: Simplify K into K
11.994 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.994 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.994 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.994 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.994 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.994 * [backup-simplify]: Simplify (- 0) into 0
11.994 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.994 * [backup-simplify]: Simplify (* J J) into (pow J 2)
11.995 * [backup-simplify]: Simplify (* 1 1) into 1
11.995 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.995 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
11.995 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
11.995 * [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)))
11.995 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
11.996 * [taylor]: Taking taylor expansion of 1/4 in J
11.996 * [backup-simplify]: Simplify 1/4 into 1/4
11.996 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
11.996 * [taylor]: Taking taylor expansion of (pow J 2) in J
11.996 * [taylor]: Taking taylor expansion of J in J
11.996 * [backup-simplify]: Simplify 0 into 0
11.996 * [backup-simplify]: Simplify 1 into 1
11.996 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
11.996 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
11.996 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
11.996 * [taylor]: Taking taylor expansion of 1/2 in J
11.996 * [backup-simplify]: Simplify 1/2 into 1/2
11.996 * [taylor]: Taking taylor expansion of K in J
11.996 * [backup-simplify]: Simplify K into K
11.996 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
11.996 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.996 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
11.996 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
11.996 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
11.997 * [backup-simplify]: Simplify (- 0) into 0
11.997 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
11.997 * [backup-simplify]: Simplify (* 1 1) into 1
11.997 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.997 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
11.998 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
11.998 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
11.998 * [taylor]: Taking taylor expansion of 1/4 in K
11.998 * [backup-simplify]: Simplify 1/4 into 1/4
11.998 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
11.998 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
11.998 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
11.998 * [taylor]: Taking taylor expansion of 1/2 in K
11.998 * [backup-simplify]: Simplify 1/2 into 1/2
11.998 * [taylor]: Taking taylor expansion of K in K
11.998 * [backup-simplify]: Simplify 0 into 0
11.998 * [backup-simplify]: Simplify 1 into 1
11.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
11.999 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
11.999 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
11.999 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
11.999 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
11.999 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.000 * [backup-simplify]: Simplify (+ 0) into 0
12.000 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.000 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.001 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.002 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.002 * [backup-simplify]: Simplify (- 0) into 0
12.003 * [backup-simplify]: Simplify (+ 0 0) into 0
12.003 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.003 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.004 * [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
12.005 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
12.005 * [taylor]: Taking taylor expansion of 0 in J
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [taylor]: Taking taylor expansion of 0 in K
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.006 * [backup-simplify]: Simplify (+ 0) into 0
12.007 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.007 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.008 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.008 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.009 * [backup-simplify]: Simplify (- 0) into 0
12.009 * [backup-simplify]: Simplify (+ 0 0) into 0
12.009 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.010 * [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
12.010 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
12.010 * [taylor]: Taking taylor expansion of 0 in K
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.011 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.011 * [backup-simplify]: Simplify 0 into 0
12.011 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
12.012 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.013 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.013 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.014 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.015 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.015 * [backup-simplify]: Simplify (- 0) into 0
12.015 * [backup-simplify]: Simplify (+ 0 0) into 0
12.016 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.025 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
12.025 * [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
12.026 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.026 * [taylor]: Taking taylor expansion of 0 in J
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [taylor]: Taking taylor expansion of 0 in K
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [taylor]: Taking taylor expansion of 0 in K
12.027 * [backup-simplify]: Simplify 0 into 0
12.027 * [backup-simplify]: Simplify 0 into 0
12.028 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.029 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.029 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.030 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.030 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.031 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.031 * [backup-simplify]: Simplify (- 0) into 0
12.032 * [backup-simplify]: Simplify (+ 0 0) into 0
12.032 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.033 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.034 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
12.034 * [taylor]: Taking taylor expansion of 0 in K
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify 0 into 0
12.034 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ 1/2 (/ 1 K))) 2)) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
12.035 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
12.035 * [approximate]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in (U J K) around 0
12.035 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
12.035 * [taylor]: Taking taylor expansion of 1/4 in K
12.035 * [backup-simplify]: Simplify 1/4 into 1/4
12.035 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
12.035 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.035 * [taylor]: Taking taylor expansion of J in K
12.035 * [backup-simplify]: Simplify J into J
12.035 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
12.035 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
12.035 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.035 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.035 * [taylor]: Taking taylor expansion of -1/2 in K
12.035 * [backup-simplify]: Simplify -1/2 into -1/2
12.035 * [taylor]: Taking taylor expansion of K in K
12.035 * [backup-simplify]: Simplify 0 into 0
12.035 * [backup-simplify]: Simplify 1 into 1
12.036 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.036 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.036 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.036 * [taylor]: Taking taylor expansion of U in K
12.036 * [backup-simplify]: Simplify U into U
12.036 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.036 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.036 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.036 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.037 * [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)))
12.037 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.037 * [taylor]: Taking taylor expansion of 1/4 in J
12.037 * [backup-simplify]: Simplify 1/4 into 1/4
12.037 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.037 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.037 * [taylor]: Taking taylor expansion of J in J
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.037 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.037 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.037 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.037 * [taylor]: Taking taylor expansion of -1/2 in J
12.037 * [backup-simplify]: Simplify -1/2 into -1/2
12.037 * [taylor]: Taking taylor expansion of K in J
12.037 * [backup-simplify]: Simplify K into K
12.037 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.037 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.037 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.037 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.037 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.038 * [backup-simplify]: Simplify (- 0) into 0
12.038 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.038 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.038 * [taylor]: Taking taylor expansion of U in J
12.038 * [backup-simplify]: Simplify U into U
12.038 * [backup-simplify]: Simplify (* 1 1) into 1
12.039 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.039 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.039 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.039 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.039 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.039 * [taylor]: Taking taylor expansion of 1/4 in U
12.039 * [backup-simplify]: Simplify 1/4 into 1/4
12.039 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.039 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.039 * [taylor]: Taking taylor expansion of J in U
12.039 * [backup-simplify]: Simplify J into J
12.039 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.039 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.040 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.040 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.040 * [taylor]: Taking taylor expansion of -1/2 in U
12.040 * [backup-simplify]: Simplify -1/2 into -1/2
12.040 * [taylor]: Taking taylor expansion of K in U
12.040 * [backup-simplify]: Simplify K into K
12.040 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.040 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.040 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.040 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.040 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.040 * [backup-simplify]: Simplify (- 0) into 0
12.041 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.041 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.041 * [taylor]: Taking taylor expansion of U in U
12.041 * [backup-simplify]: Simplify 0 into 0
12.041 * [backup-simplify]: Simplify 1 into 1
12.041 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.041 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.041 * [backup-simplify]: Simplify (* 1 1) into 1
12.041 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.042 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.042 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.042 * [taylor]: Taking taylor expansion of 1/4 in U
12.042 * [backup-simplify]: Simplify 1/4 into 1/4
12.042 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.042 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.042 * [taylor]: Taking taylor expansion of J in U
12.042 * [backup-simplify]: Simplify J into J
12.042 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.042 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.042 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.042 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.042 * [taylor]: Taking taylor expansion of -1/2 in U
12.042 * [backup-simplify]: Simplify -1/2 into -1/2
12.042 * [taylor]: Taking taylor expansion of K in U
12.042 * [backup-simplify]: Simplify K into K
12.042 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.042 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.042 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.042 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.042 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.043 * [backup-simplify]: Simplify (- 0) into 0
12.043 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.043 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.043 * [taylor]: Taking taylor expansion of U in U
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify 1 into 1
12.043 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.043 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.043 * [backup-simplify]: Simplify (* 1 1) into 1
12.044 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.044 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.044 * [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)))
12.044 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
12.044 * [taylor]: Taking taylor expansion of 1/4 in J
12.044 * [backup-simplify]: Simplify 1/4 into 1/4
12.044 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
12.044 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.044 * [taylor]: Taking taylor expansion of J in J
12.044 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 1 into 1
12.044 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.044 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.044 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.044 * [taylor]: Taking taylor expansion of -1/2 in J
12.044 * [backup-simplify]: Simplify -1/2 into -1/2
12.044 * [taylor]: Taking taylor expansion of K in J
12.044 * [backup-simplify]: Simplify K into K
12.044 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.045 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.045 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.045 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.045 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.045 * [backup-simplify]: Simplify (- 0) into 0
12.045 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.046 * [backup-simplify]: Simplify (* 1 1) into 1
12.046 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.046 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
12.046 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
12.046 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
12.046 * [taylor]: Taking taylor expansion of 1/4 in K
12.046 * [backup-simplify]: Simplify 1/4 into 1/4
12.046 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
12.046 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.046 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.046 * [taylor]: Taking taylor expansion of -1/2 in K
12.046 * [backup-simplify]: Simplify -1/2 into -1/2
12.046 * [taylor]: Taking taylor expansion of K in K
12.046 * [backup-simplify]: Simplify 0 into 0
12.046 * [backup-simplify]: Simplify 1 into 1
12.047 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.047 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.047 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.047 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
12.047 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
12.047 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.048 * [backup-simplify]: Simplify (+ 0) into 0
12.049 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.049 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.050 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.050 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.051 * [backup-simplify]: Simplify (- 0) into 0
12.051 * [backup-simplify]: Simplify (+ 0 0) into 0
12.051 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.052 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.052 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
12.053 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.053 * [taylor]: Taking taylor expansion of 0 in J
12.053 * [backup-simplify]: Simplify 0 into 0
12.053 * [taylor]: Taking taylor expansion of 0 in K
12.053 * [backup-simplify]: Simplify 0 into 0
12.053 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.054 * [backup-simplify]: Simplify (+ 0) into 0
12.054 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.055 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.055 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.056 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.056 * [backup-simplify]: Simplify (- 0) into 0
12.057 * [backup-simplify]: Simplify (+ 0 0) into 0
12.057 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.057 * [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
12.058 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
12.058 * [taylor]: Taking taylor expansion of 0 in K
12.058 * [backup-simplify]: Simplify 0 into 0
12.058 * [backup-simplify]: Simplify 0 into 0
12.058 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.058 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1/4 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
12.058 * [backup-simplify]: Simplify 0 into 0
12.059 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
12.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.061 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.061 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.061 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.062 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.063 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.063 * [backup-simplify]: Simplify (- 0) into 0
12.064 * [backup-simplify]: Simplify (+ 0 0) into 0
12.064 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.065 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.065 * [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
12.066 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
12.066 * [taylor]: Taking taylor expansion of 0 in J
12.066 * [backup-simplify]: Simplify 0 into 0
12.066 * [taylor]: Taking taylor expansion of 0 in K
12.066 * [backup-simplify]: Simplify 0 into 0
12.066 * [backup-simplify]: Simplify 0 into 0
12.067 * [taylor]: Taking taylor expansion of 0 in K
12.067 * [backup-simplify]: Simplify 0 into 0
12.067 * [backup-simplify]: Simplify 0 into 0
12.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.068 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.069 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.069 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.070 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.070 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.070 * [backup-simplify]: Simplify (- 0) into 0
12.071 * [backup-simplify]: Simplify (+ 0 0) into 0
12.071 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.071 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
12.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
12.072 * [taylor]: Taking taylor expansion of 0 in K
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify 0 into 0
12.072 * [backup-simplify]: Simplify (* (/ 1/4 (pow (cos (/ -1/2 (/ 1 (- K)))) 2)) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
12.072 * * * * [progress]: [ 4 / 4 ] generating series at (2)
12.073 * [backup-simplify]: Simplify (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
12.073 * [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 U K) around 0
12.073 * [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
12.073 * [taylor]: Taking taylor expansion of -2 in K
12.073 * [backup-simplify]: Simplify -2 into -2
12.073 * [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
12.073 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
12.073 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.073 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.073 * [taylor]: Taking taylor expansion of 1/2 in K
12.073 * [backup-simplify]: Simplify 1/2 into 1/2
12.073 * [taylor]: Taking taylor expansion of K in K
12.073 * [backup-simplify]: Simplify 0 into 0
12.073 * [backup-simplify]: Simplify 1 into 1
12.073 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.073 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.074 * [taylor]: Taking taylor expansion of J in K
12.074 * [backup-simplify]: Simplify J into J
12.074 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
12.074 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
12.074 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
12.074 * [taylor]: Taking taylor expansion of 1/4 in K
12.074 * [backup-simplify]: Simplify 1/4 into 1/4
12.074 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
12.074 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.074 * [taylor]: Taking taylor expansion of U in K
12.074 * [backup-simplify]: Simplify U into U
12.074 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
12.074 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
12.074 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.074 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.074 * [taylor]: Taking taylor expansion of 1/2 in K
12.074 * [backup-simplify]: Simplify 1/2 into 1/2
12.074 * [taylor]: Taking taylor expansion of K in K
12.074 * [backup-simplify]: Simplify 0 into 0
12.074 * [backup-simplify]: Simplify 1 into 1
12.074 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.075 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.075 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.075 * [taylor]: Taking taylor expansion of J in K
12.075 * [backup-simplify]: Simplify J into J
12.075 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.075 * [backup-simplify]: Simplify (* 1 1) into 1
12.075 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.075 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
12.075 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
12.075 * [taylor]: Taking taylor expansion of 1 in K
12.075 * [backup-simplify]: Simplify 1 into 1
12.075 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
12.076 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
12.076 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
12.076 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.076 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.076 * [backup-simplify]: Simplify (+ 0) into 0
12.076 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.077 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
12.077 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
12.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
12.078 * [backup-simplify]: Simplify (+ 0 0) into 0
12.078 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
12.078 * [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
12.078 * [taylor]: Taking taylor expansion of -2 in U
12.078 * [backup-simplify]: Simplify -2 into -2
12.078 * [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
12.078 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
12.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.078 * [taylor]: Taking taylor expansion of 1/2 in U
12.078 * [backup-simplify]: Simplify 1/2 into 1/2
12.078 * [taylor]: Taking taylor expansion of K in U
12.078 * [backup-simplify]: Simplify K into K
12.078 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.078 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.078 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.078 * [taylor]: Taking taylor expansion of J in U
12.078 * [backup-simplify]: Simplify J into J
12.078 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.078 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.078 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.078 * [taylor]: Taking taylor expansion of 1/4 in U
12.078 * [backup-simplify]: Simplify 1/4 into 1/4
12.078 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.078 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.078 * [taylor]: Taking taylor expansion of U in U
12.078 * [backup-simplify]: Simplify 0 into 0
12.078 * [backup-simplify]: Simplify 1 into 1
12.078 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
12.078 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.078 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.078 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.078 * [taylor]: Taking taylor expansion of 1/2 in U
12.078 * [backup-simplify]: Simplify 1/2 into 1/2
12.078 * [taylor]: Taking taylor expansion of K in U
12.078 * [backup-simplify]: Simplify K into K
12.078 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.078 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.078 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.078 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.078 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.079 * [backup-simplify]: Simplify (- 0) into 0
12.079 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.079 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.079 * [taylor]: Taking taylor expansion of J in U
12.079 * [backup-simplify]: Simplify J into J
12.079 * [backup-simplify]: Simplify (* 1 1) into 1
12.079 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.079 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.079 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.079 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.079 * [taylor]: Taking taylor expansion of 1 in U
12.079 * [backup-simplify]: Simplify 1 into 1
12.080 * [backup-simplify]: Simplify (+ 0 1) into 1
12.080 * [backup-simplify]: Simplify (sqrt 1) into 1
12.080 * [backup-simplify]: Simplify (+ 0 0) into 0
12.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.081 * [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
12.081 * [taylor]: Taking taylor expansion of -2 in J
12.081 * [backup-simplify]: Simplify -2 into -2
12.081 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
12.081 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
12.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.081 * [taylor]: Taking taylor expansion of 1/2 in J
12.081 * [backup-simplify]: Simplify 1/2 into 1/2
12.081 * [taylor]: Taking taylor expansion of K in J
12.081 * [backup-simplify]: Simplify K into K
12.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.081 * [taylor]: Taking taylor expansion of J in J
12.081 * [backup-simplify]: Simplify 0 into 0
12.081 * [backup-simplify]: Simplify 1 into 1
12.081 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.081 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.081 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.081 * [taylor]: Taking taylor expansion of 1/4 in J
12.081 * [backup-simplify]: Simplify 1/4 into 1/4
12.081 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.081 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.081 * [taylor]: Taking taylor expansion of U in J
12.081 * [backup-simplify]: Simplify U into U
12.081 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.081 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.081 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.081 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.081 * [taylor]: Taking taylor expansion of 1/2 in J
12.081 * [backup-simplify]: Simplify 1/2 into 1/2
12.081 * [taylor]: Taking taylor expansion of K in J
12.081 * [backup-simplify]: Simplify K into K
12.081 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.081 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.081 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.081 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.081 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.082 * [backup-simplify]: Simplify (- 0) into 0
12.082 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.082 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.082 * [taylor]: Taking taylor expansion of J in J
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 1 into 1
12.082 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.082 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.082 * [backup-simplify]: Simplify (* 1 1) into 1
12.082 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.082 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.082 * [taylor]: Taking taylor expansion of 1 in J
12.082 * [backup-simplify]: Simplify 1 into 1
12.083 * [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)))
12.083 * [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)))
12.083 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.083 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.084 * [backup-simplify]: Simplify (+ 0) into 0
12.084 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.084 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.085 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.085 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.085 * [backup-simplify]: Simplify (- 0) into 0
12.085 * [backup-simplify]: Simplify (+ 0 0) into 0
12.085 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.086 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.086 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
12.086 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.087 * [backup-simplify]: Simplify (+ 0 0) into 0
12.087 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.087 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
12.087 * [taylor]: Taking taylor expansion of -2 in J
12.087 * [backup-simplify]: Simplify -2 into -2
12.087 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in J
12.087 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
12.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.087 * [taylor]: Taking taylor expansion of 1/2 in J
12.087 * [backup-simplify]: Simplify 1/2 into 1/2
12.087 * [taylor]: Taking taylor expansion of K in J
12.087 * [backup-simplify]: Simplify K into K
12.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.087 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.087 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.087 * [taylor]: Taking taylor expansion of J in J
12.087 * [backup-simplify]: Simplify 0 into 0
12.087 * [backup-simplify]: Simplify 1 into 1
12.087 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.087 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.087 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.087 * [taylor]: Taking taylor expansion of 1/4 in J
12.087 * [backup-simplify]: Simplify 1/4 into 1/4
12.087 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.087 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.087 * [taylor]: Taking taylor expansion of U in J
12.087 * [backup-simplify]: Simplify U into U
12.087 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.087 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.087 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.087 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.087 * [taylor]: Taking taylor expansion of 1/2 in J
12.087 * [backup-simplify]: Simplify 1/2 into 1/2
12.087 * [taylor]: Taking taylor expansion of K in J
12.087 * [backup-simplify]: Simplify K into K
12.087 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.088 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.088 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.088 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.088 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.088 * [backup-simplify]: Simplify (- 0) into 0
12.088 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.088 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.088 * [taylor]: Taking taylor expansion of J in J
12.088 * [backup-simplify]: Simplify 0 into 0
12.088 * [backup-simplify]: Simplify 1 into 1
12.088 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.088 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.088 * [backup-simplify]: Simplify (* 1 1) into 1
12.088 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.089 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.089 * [taylor]: Taking taylor expansion of 1 in J
12.089 * [backup-simplify]: Simplify 1 into 1
12.089 * [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)))
12.089 * [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)))
12.090 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.090 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.091 * [backup-simplify]: Simplify (+ 0) into 0
12.091 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.092 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.093 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.093 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.094 * [backup-simplify]: Simplify (- 0) into 0
12.094 * [backup-simplify]: Simplify (+ 0 0) into 0
12.094 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.095 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.095 * [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
12.096 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.096 * [backup-simplify]: Simplify (+ 0 0) into 0
12.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.096 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.097 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.097 * [backup-simplify]: Simplify (- 0) into 0
12.097 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.097 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
12.097 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
12.098 * [backup-simplify]: Simplify (* -2 0) into 0
12.098 * [taylor]: Taking taylor expansion of 0 in U
12.098 * [backup-simplify]: Simplify 0 into 0
12.098 * [taylor]: Taking taylor expansion of 0 in K
12.098 * [backup-simplify]: Simplify 0 into 0
12.098 * [backup-simplify]: Simplify 0 into 0
12.098 * [backup-simplify]: Simplify (+ 0) into 0
12.099 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.099 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.100 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.100 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.101 * [backup-simplify]: Simplify (- 0) into 0
12.101 * [backup-simplify]: Simplify (+ 0 0) into 0
12.102 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
12.102 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
12.103 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
12.103 * [taylor]: Taking taylor expansion of (- U) in U
12.103 * [taylor]: Taking taylor expansion of U in U
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 1 into 1
12.103 * [backup-simplify]: Simplify (- 0) into 0
12.103 * [taylor]: Taking taylor expansion of 0 in K
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [taylor]: Taking taylor expansion of 0 in K
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 0 into 0
12.103 * [backup-simplify]: Simplify 0 into 0
12.104 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
12.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.106 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.106 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.107 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.108 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.109 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.109 * [backup-simplify]: Simplify (- 0) into 0
12.110 * [backup-simplify]: Simplify (+ 0 0) into 0
12.110 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
12.111 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.111 * [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
12.112 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
12.113 * [backup-simplify]: Simplify (+ 0 1) into 1
12.114 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
12.115 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.115 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.117 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.118 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.118 * [backup-simplify]: Simplify (- 0) into 0
12.118 * [backup-simplify]: Simplify (+ 0 0) into 0
12.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
12.120 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
12.120 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
12.120 * [taylor]: Taking taylor expansion of 0 in U
12.120 * [backup-simplify]: Simplify 0 into 0
12.120 * [taylor]: Taking taylor expansion of 0 in K
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify (- 1) into -1
12.121 * [taylor]: Taking taylor expansion of -1 in K
12.121 * [backup-simplify]: Simplify -1 into -1
12.121 * [backup-simplify]: Simplify -1 into -1
12.121 * [taylor]: Taking taylor expansion of 0 in K
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.121 * [backup-simplify]: Simplify 0 into 0
12.122 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
12.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.124 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.126 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
12.127 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.128 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.129 * [backup-simplify]: Simplify (- 0) into 0
12.129 * [backup-simplify]: Simplify (+ 0 0) into 0
12.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
12.131 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.131 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
12.133 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.133 * [backup-simplify]: Simplify (+ 0 0) into 0
12.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
12.134 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.135 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.136 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
12.138 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.138 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.139 * [backup-simplify]: Simplify (- 0) into 0
12.139 * [backup-simplify]: Simplify (+ 0 0) into 0
12.140 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.141 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U)
12.142 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U)))
12.142 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U
12.142 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U
12.142 * [taylor]: Taking taylor expansion of 2 in U
12.142 * [backup-simplify]: Simplify 2 into 2
12.142 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U
12.142 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.142 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.142 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.142 * [taylor]: Taking taylor expansion of 1/2 in U
12.143 * [backup-simplify]: Simplify 1/2 into 1/2
12.143 * [taylor]: Taking taylor expansion of K in U
12.143 * [backup-simplify]: Simplify K into K
12.143 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.143 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.143 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.143 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.143 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.143 * [backup-simplify]: Simplify (- 0) into 0
12.143 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.143 * [taylor]: Taking taylor expansion of U in U
12.143 * [backup-simplify]: Simplify 0 into 0
12.144 * [backup-simplify]: Simplify 1 into 1
12.144 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.144 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.144 * [backup-simplify]: Simplify (+ 0) into 0
12.145 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.145 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.146 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.146 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.147 * [backup-simplify]: Simplify (- 0) into 0
12.147 * [backup-simplify]: Simplify (+ 0 0) into 0
12.147 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0
12.149 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
12.150 * [backup-simplify]: Simplify (- 0) into 0
12.150 * [taylor]: Taking taylor expansion of 0 in K
12.150 * [backup-simplify]: Simplify 0 into 0
12.150 * [backup-simplify]: Simplify 0 into 0
12.150 * [taylor]: Taking taylor expansion of 0 in K
12.150 * [backup-simplify]: Simplify 0 into 0
12.150 * [backup-simplify]: Simplify 0 into 0
12.150 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
12.151 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (sqrt (+ 1 (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))))))) (cos (/ (/ 1 K) 2))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
12.151 * [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 U K) around 0
12.151 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J))) in K
12.151 * [taylor]: Taking taylor expansion of -2 in K
12.151 * [backup-simplify]: Simplify -2 into -2
12.151 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
12.151 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
12.151 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
12.151 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
12.151 * [taylor]: Taking taylor expansion of 1/4 in K
12.151 * [backup-simplify]: Simplify 1/4 into 1/4
12.151 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
12.151 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.151 * [taylor]: Taking taylor expansion of J in K
12.151 * [backup-simplify]: Simplify J into J
12.151 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
12.151 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.151 * [taylor]: Taking taylor expansion of U in K
12.151 * [backup-simplify]: Simplify U into U
12.151 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
12.151 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.151 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.152 * [taylor]: Taking taylor expansion of 1/2 in K
12.152 * [backup-simplify]: Simplify 1/2 into 1/2
12.152 * [taylor]: Taking taylor expansion of K in K
12.152 * [backup-simplify]: Simplify 0 into 0
12.152 * [backup-simplify]: Simplify 1 into 1
12.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.152 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.152 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.152 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.153 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.153 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.153 * [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)))
12.153 * [taylor]: Taking taylor expansion of 1 in K
12.153 * [backup-simplify]: Simplify 1 into 1
12.153 * [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))))
12.153 * [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)
12.154 * [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))
12.154 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.154 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.154 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.154 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.154 * [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
12.155 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.155 * [backup-simplify]: Simplify (+ 0 0) into 0
12.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
12.155 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
12.155 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.155 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.155 * [taylor]: Taking taylor expansion of 1/2 in K
12.155 * [backup-simplify]: Simplify 1/2 into 1/2
12.156 * [taylor]: Taking taylor expansion of K in K
12.156 * [backup-simplify]: Simplify 0 into 0
12.156 * [backup-simplify]: Simplify 1 into 1
12.156 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.156 * [taylor]: Taking taylor expansion of J in K
12.156 * [backup-simplify]: Simplify J into J
12.156 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
12.156 * [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
12.156 * [taylor]: Taking taylor expansion of -2 in U
12.156 * [backup-simplify]: Simplify -2 into -2
12.156 * [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
12.156 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
12.156 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
12.156 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
12.156 * [taylor]: Taking taylor expansion of 1/4 in U
12.156 * [backup-simplify]: Simplify 1/4 into 1/4
12.156 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
12.156 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.156 * [taylor]: Taking taylor expansion of J in U
12.156 * [backup-simplify]: Simplify J into J
12.156 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
12.156 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.156 * [taylor]: Taking taylor expansion of U in U
12.156 * [backup-simplify]: Simplify 0 into 0
12.156 * [backup-simplify]: Simplify 1 into 1
12.156 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
12.156 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.156 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.156 * [taylor]: Taking taylor expansion of 1/2 in U
12.156 * [backup-simplify]: Simplify 1/2 into 1/2
12.156 * [taylor]: Taking taylor expansion of K in U
12.156 * [backup-simplify]: Simplify K into K
12.156 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.156 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.156 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.157 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.157 * [backup-simplify]: Simplify (- 0) into 0
12.157 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.157 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.157 * [backup-simplify]: Simplify (* 1 1) into 1
12.157 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.157 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
12.157 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
12.158 * [taylor]: Taking taylor expansion of 1 in U
12.158 * [backup-simplify]: Simplify 1 into 1
12.158 * [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)))
12.158 * [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)))
12.158 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
12.158 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.161 * [backup-simplify]: Simplify (+ 0) into 0
12.162 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.162 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.162 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.163 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.163 * [backup-simplify]: Simplify (- 0) into 0
12.163 * [backup-simplify]: Simplify (+ 0 0) into 0
12.163 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.164 * [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
12.165 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
12.165 * [backup-simplify]: Simplify (+ 0 0) into 0
12.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.165 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
12.165 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.165 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.165 * [taylor]: Taking taylor expansion of 1/2 in U
12.165 * [backup-simplify]: Simplify 1/2 into 1/2
12.165 * [taylor]: Taking taylor expansion of K in U
12.165 * [backup-simplify]: Simplify K into K
12.165 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.165 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.165 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.165 * [taylor]: Taking taylor expansion of J in U
12.165 * [backup-simplify]: Simplify J into J
12.165 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.165 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.166 * [backup-simplify]: Simplify (- 0) into 0
12.166 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.166 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
12.166 * [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
12.166 * [taylor]: Taking taylor expansion of -2 in J
12.166 * [backup-simplify]: Simplify -2 into -2
12.166 * [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
12.166 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.166 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.166 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.166 * [taylor]: Taking taylor expansion of 1/4 in J
12.166 * [backup-simplify]: Simplify 1/4 into 1/4
12.166 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.166 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.166 * [taylor]: Taking taylor expansion of J in J
12.166 * [backup-simplify]: Simplify 0 into 0
12.166 * [backup-simplify]: Simplify 1 into 1
12.166 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.166 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.166 * [taylor]: Taking taylor expansion of U in J
12.166 * [backup-simplify]: Simplify U into U
12.166 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.166 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.166 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.166 * [taylor]: Taking taylor expansion of 1/2 in J
12.166 * [backup-simplify]: Simplify 1/2 into 1/2
12.166 * [taylor]: Taking taylor expansion of K in J
12.166 * [backup-simplify]: Simplify K into K
12.166 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.166 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.166 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.166 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.167 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.167 * [backup-simplify]: Simplify (- 0) into 0
12.167 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.167 * [backup-simplify]: Simplify (* 1 1) into 1
12.167 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.167 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.167 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.168 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.168 * [taylor]: Taking taylor expansion of 1 in J
12.168 * [backup-simplify]: Simplify 1 into 1
12.168 * [backup-simplify]: Simplify (+ 0 1) into 1
12.168 * [backup-simplify]: Simplify (sqrt 1) into 1
12.168 * [backup-simplify]: Simplify (+ 0 0) into 0
12.169 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.169 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
12.169 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.169 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.169 * [taylor]: Taking taylor expansion of 1/2 in J
12.169 * [backup-simplify]: Simplify 1/2 into 1/2
12.169 * [taylor]: Taking taylor expansion of K in J
12.169 * [backup-simplify]: Simplify K into K
12.169 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.169 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.169 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.169 * [taylor]: Taking taylor expansion of J in J
12.169 * [backup-simplify]: Simplify 0 into 0
12.169 * [backup-simplify]: Simplify 1 into 1
12.169 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.169 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.170 * [backup-simplify]: Simplify (- 0) into 0
12.170 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.170 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.170 * [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
12.170 * [taylor]: Taking taylor expansion of -2 in J
12.170 * [backup-simplify]: Simplify -2 into -2
12.170 * [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
12.170 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.170 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.170 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.170 * [taylor]: Taking taylor expansion of 1/4 in J
12.170 * [backup-simplify]: Simplify 1/4 into 1/4
12.170 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.170 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.170 * [taylor]: Taking taylor expansion of J in J
12.170 * [backup-simplify]: Simplify 0 into 0
12.170 * [backup-simplify]: Simplify 1 into 1
12.170 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.170 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.170 * [taylor]: Taking taylor expansion of U in J
12.170 * [backup-simplify]: Simplify U into U
12.170 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.170 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.170 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.170 * [taylor]: Taking taylor expansion of 1/2 in J
12.170 * [backup-simplify]: Simplify 1/2 into 1/2
12.170 * [taylor]: Taking taylor expansion of K in J
12.170 * [backup-simplify]: Simplify K into K
12.170 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.170 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.170 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.170 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.170 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.171 * [backup-simplify]: Simplify (- 0) into 0
12.171 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.171 * [backup-simplify]: Simplify (* 1 1) into 1
12.171 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.171 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.171 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.171 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.171 * [taylor]: Taking taylor expansion of 1 in J
12.171 * [backup-simplify]: Simplify 1 into 1
12.172 * [backup-simplify]: Simplify (+ 0 1) into 1
12.172 * [backup-simplify]: Simplify (sqrt 1) into 1
12.172 * [backup-simplify]: Simplify (+ 0 0) into 0
12.173 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.173 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
12.173 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.173 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.173 * [taylor]: Taking taylor expansion of 1/2 in J
12.173 * [backup-simplify]: Simplify 1/2 into 1/2
12.173 * [taylor]: Taking taylor expansion of K in J
12.173 * [backup-simplify]: Simplify K into K
12.173 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.173 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.173 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.173 * [taylor]: Taking taylor expansion of J in J
12.173 * [backup-simplify]: Simplify 0 into 0
12.173 * [backup-simplify]: Simplify 1 into 1
12.173 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.173 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.173 * [backup-simplify]: Simplify (- 0) into 0
12.173 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.173 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.174 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
12.174 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.174 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
12.174 * [taylor]: Taking taylor expansion of -2 in U
12.174 * [backup-simplify]: Simplify -2 into -2
12.174 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.174 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.174 * [taylor]: Taking taylor expansion of 1/2 in U
12.174 * [backup-simplify]: Simplify 1/2 into 1/2
12.174 * [taylor]: Taking taylor expansion of K in U
12.174 * [backup-simplify]: Simplify K into K
12.174 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.174 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.174 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.174 * [backup-simplify]: Simplify (+ 0) into 0
12.174 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.175 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.175 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.175 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.176 * [backup-simplify]: Simplify (- 0) into 0
12.176 * [backup-simplify]: Simplify (+ 0 0) into 0
12.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
12.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
12.177 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.177 * [taylor]: Taking taylor expansion of 0 in U
12.177 * [backup-simplify]: Simplify 0 into 0
12.177 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.177 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.177 * [backup-simplify]: Simplify (- 0) into 0
12.177 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.178 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.178 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
12.178 * [taylor]: Taking taylor expansion of -2 in K
12.178 * [backup-simplify]: Simplify -2 into -2
12.178 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.178 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.178 * [taylor]: Taking taylor expansion of 1/2 in K
12.178 * [backup-simplify]: Simplify 1/2 into 1/2
12.178 * [taylor]: Taking taylor expansion of K in K
12.178 * [backup-simplify]: Simplify 0 into 0
12.178 * [backup-simplify]: Simplify 1 into 1
12.178 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.178 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.178 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.178 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.179 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.179 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.179 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.180 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.180 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.180 * [backup-simplify]: Simplify (- 0) into 0
12.181 * [backup-simplify]: Simplify (+ 0 0) into 0
12.181 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.182 * [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)))
12.182 * [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))))
12.183 * [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)))
12.183 * [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)))))
12.184 * [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))))))
12.184 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
12.184 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
12.184 * [taylor]: Taking taylor expansion of 1/4 in U
12.184 * [backup-simplify]: Simplify 1/4 into 1/4
12.184 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
12.184 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
12.184 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.184 * [taylor]: Taking taylor expansion of U in U
12.184 * [backup-simplify]: Simplify 0 into 0
12.184 * [backup-simplify]: Simplify 1 into 1
12.184 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.184 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.184 * [taylor]: Taking taylor expansion of 1/2 in U
12.184 * [backup-simplify]: Simplify 1/2 into 1/2
12.184 * [taylor]: Taking taylor expansion of K in U
12.184 * [backup-simplify]: Simplify K into K
12.184 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.184 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.184 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.185 * [backup-simplify]: Simplify (* 1 1) into 1
12.185 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.185 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.185 * [backup-simplify]: Simplify (- 0) into 0
12.185 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.185 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
12.185 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
12.185 * [backup-simplify]: Simplify (+ 0) into 0
12.186 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.186 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.186 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.186 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.187 * [backup-simplify]: Simplify (- 0) into 0
12.187 * [backup-simplify]: Simplify (+ 0 0) into 0
12.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
12.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
12.188 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
12.188 * [backup-simplify]: Simplify (- 0) into 0
12.188 * [taylor]: Taking taylor expansion of 0 in K
12.188 * [backup-simplify]: Simplify 0 into 0
12.188 * [backup-simplify]: Simplify 0 into 0
12.188 * [taylor]: Taking taylor expansion of 0 in K
12.188 * [backup-simplify]: Simplify 0 into 0
12.188 * [backup-simplify]: Simplify 0 into 0
12.189 * [backup-simplify]: Simplify (+ 0) into 0
12.189 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.189 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.190 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.190 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.191 * [backup-simplify]: Simplify (- 0) into 0
12.191 * [backup-simplify]: Simplify (+ 0 0) into 0
12.191 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.192 * [taylor]: Taking taylor expansion of 0 in K
12.192 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify 0 into 0
12.192 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.192 * [backup-simplify]: Simplify 0 into 0
12.193 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.194 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.194 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.196 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.197 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.197 * [backup-simplify]: Simplify (- 0) into 0
12.198 * [backup-simplify]: Simplify (+ 0 0) into 0
12.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.201 * [backup-simplify]: Simplify (+ 0) into 0
12.201 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.201 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.202 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.203 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.203 * [backup-simplify]: Simplify (- 0) into 0
12.203 * [backup-simplify]: Simplify (+ 0 0) into 0
12.204 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.204 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.204 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.204 * [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
12.205 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.206 * [backup-simplify]: Simplify (+ 0 0) into 0
12.206 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
12.207 * [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
12.208 * [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
12.208 * [taylor]: Taking taylor expansion of 0 in U
12.208 * [backup-simplify]: Simplify 0 into 0
12.209 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.210 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.211 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.211 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.212 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.212 * [backup-simplify]: Simplify (- 0) into 0
12.213 * [backup-simplify]: Simplify (+ 0 0) into 0
12.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
12.216 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
12.216 * [backup-simplify]: Simplify (- 0) into 0
12.216 * [taylor]: Taking taylor expansion of 0 in K
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [taylor]: Taking taylor expansion of 0 in K
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify 0 into 0
12.216 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
12.217 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (sqrt (+ 1 (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))))))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
12.217 * [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 U K) around 0
12.217 * [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
12.217 * [taylor]: Taking taylor expansion of 2 in K
12.217 * [backup-simplify]: Simplify 2 into 2
12.217 * [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
12.217 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
12.218 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.218 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.218 * [taylor]: Taking taylor expansion of -1/2 in K
12.218 * [backup-simplify]: Simplify -1/2 into -1/2
12.218 * [taylor]: Taking taylor expansion of K in K
12.218 * [backup-simplify]: Simplify 0 into 0
12.218 * [backup-simplify]: Simplify 1 into 1
12.218 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.218 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.218 * [taylor]: Taking taylor expansion of J in K
12.218 * [backup-simplify]: Simplify J into J
12.218 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
12.218 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
12.218 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
12.218 * [taylor]: Taking taylor expansion of 1 in K
12.219 * [backup-simplify]: Simplify 1 into 1
12.219 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
12.219 * [taylor]: Taking taylor expansion of 1/4 in K
12.219 * [backup-simplify]: Simplify 1/4 into 1/4
12.219 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
12.219 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.219 * [taylor]: Taking taylor expansion of J in K
12.219 * [backup-simplify]: Simplify J into J
12.219 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
12.219 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
12.219 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.219 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.219 * [taylor]: Taking taylor expansion of -1/2 in K
12.219 * [backup-simplify]: Simplify -1/2 into -1/2
12.219 * [taylor]: Taking taylor expansion of K in K
12.219 * [backup-simplify]: Simplify 0 into 0
12.219 * [backup-simplify]: Simplify 1 into 1
12.219 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.220 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.220 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.220 * [taylor]: Taking taylor expansion of U in K
12.220 * [backup-simplify]: Simplify U into U
12.220 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.220 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.220 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.220 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.220 * [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)))
12.221 * [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))))
12.221 * [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)))))
12.221 * [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))))))
12.221 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.222 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.222 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.222 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
12.222 * [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
12.223 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
12.224 * [backup-simplify]: Simplify (+ 0 0) into 0
12.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
12.224 * [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
12.224 * [taylor]: Taking taylor expansion of 2 in U
12.224 * [backup-simplify]: Simplify 2 into 2
12.224 * [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
12.224 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
12.224 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.224 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.224 * [taylor]: Taking taylor expansion of -1/2 in U
12.224 * [backup-simplify]: Simplify -1/2 into -1/2
12.224 * [taylor]: Taking taylor expansion of K in U
12.225 * [backup-simplify]: Simplify K into K
12.225 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.225 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.225 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.225 * [taylor]: Taking taylor expansion of J in U
12.225 * [backup-simplify]: Simplify J into J
12.225 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.225 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.225 * [backup-simplify]: Simplify (- 0) into 0
12.225 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.226 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
12.226 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
12.226 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
12.226 * [taylor]: Taking taylor expansion of 1 in U
12.226 * [backup-simplify]: Simplify 1 into 1
12.226 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.226 * [taylor]: Taking taylor expansion of 1/4 in U
12.226 * [backup-simplify]: Simplify 1/4 into 1/4
12.226 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.226 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.226 * [taylor]: Taking taylor expansion of J in U
12.226 * [backup-simplify]: Simplify J into J
12.226 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.226 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.226 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.226 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.226 * [taylor]: Taking taylor expansion of -1/2 in U
12.226 * [backup-simplify]: Simplify -1/2 into -1/2
12.226 * [taylor]: Taking taylor expansion of K in U
12.226 * [backup-simplify]: Simplify K into K
12.226 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.226 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.226 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.226 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.226 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.227 * [backup-simplify]: Simplify (- 0) into 0
12.227 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.227 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.227 * [taylor]: Taking taylor expansion of U in U
12.227 * [backup-simplify]: Simplify 0 into 0
12.227 * [backup-simplify]: Simplify 1 into 1
12.227 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.227 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.228 * [backup-simplify]: Simplify (* 1 1) into 1
12.228 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.228 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.228 * [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)))
12.228 * [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)))
12.229 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.229 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.230 * [backup-simplify]: Simplify (+ 0) into 0
12.230 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.230 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.231 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.232 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.232 * [backup-simplify]: Simplify (- 0) into 0
12.232 * [backup-simplify]: Simplify (+ 0 0) into 0
12.233 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.233 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.234 * [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
12.234 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.235 * [backup-simplify]: Simplify (+ 0 0) into 0
12.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.235 * [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
12.235 * [taylor]: Taking taylor expansion of 2 in J
12.235 * [backup-simplify]: Simplify 2 into 2
12.235 * [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
12.235 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
12.235 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.235 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.235 * [taylor]: Taking taylor expansion of -1/2 in J
12.235 * [backup-simplify]: Simplify -1/2 into -1/2
12.235 * [taylor]: Taking taylor expansion of K in J
12.235 * [backup-simplify]: Simplify K into K
12.235 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.235 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.235 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.235 * [taylor]: Taking taylor expansion of J in J
12.235 * [backup-simplify]: Simplify 0 into 0
12.235 * [backup-simplify]: Simplify 1 into 1
12.235 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.236 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.236 * [backup-simplify]: Simplify (- 0) into 0
12.236 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.236 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.236 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
12.236 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
12.236 * [taylor]: Taking taylor expansion of 1 in J
12.236 * [backup-simplify]: Simplify 1 into 1
12.236 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.236 * [taylor]: Taking taylor expansion of 1/4 in J
12.236 * [backup-simplify]: Simplify 1/4 into 1/4
12.236 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.236 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.236 * [taylor]: Taking taylor expansion of J in J
12.236 * [backup-simplify]: Simplify 0 into 0
12.237 * [backup-simplify]: Simplify 1 into 1
12.237 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.237 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.237 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.237 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.237 * [taylor]: Taking taylor expansion of -1/2 in J
12.237 * [backup-simplify]: Simplify -1/2 into -1/2
12.237 * [taylor]: Taking taylor expansion of K in J
12.237 * [backup-simplify]: Simplify K into K
12.237 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.237 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.237 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.237 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.237 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.237 * [backup-simplify]: Simplify (- 0) into 0
12.237 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.237 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.237 * [taylor]: Taking taylor expansion of U in J
12.237 * [backup-simplify]: Simplify U into U
12.238 * [backup-simplify]: Simplify (* 1 1) into 1
12.238 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.238 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.238 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.238 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.238 * [backup-simplify]: Simplify (+ 1 0) into 1
12.238 * [backup-simplify]: Simplify (sqrt 1) into 1
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.239 * [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
12.239 * [taylor]: Taking taylor expansion of 2 in J
12.239 * [backup-simplify]: Simplify 2 into 2
12.239 * [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
12.239 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
12.239 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.239 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.239 * [taylor]: Taking taylor expansion of -1/2 in J
12.239 * [backup-simplify]: Simplify -1/2 into -1/2
12.239 * [taylor]: Taking taylor expansion of K in J
12.239 * [backup-simplify]: Simplify K into K
12.239 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.239 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.239 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.239 * [taylor]: Taking taylor expansion of J in J
12.239 * [backup-simplify]: Simplify 0 into 0
12.239 * [backup-simplify]: Simplify 1 into 1
12.239 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.239 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.240 * [backup-simplify]: Simplify (- 0) into 0
12.240 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.240 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.240 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
12.240 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
12.240 * [taylor]: Taking taylor expansion of 1 in J
12.240 * [backup-simplify]: Simplify 1 into 1
12.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.240 * [taylor]: Taking taylor expansion of 1/4 in J
12.240 * [backup-simplify]: Simplify 1/4 into 1/4
12.240 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.240 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.240 * [taylor]: Taking taylor expansion of J in J
12.240 * [backup-simplify]: Simplify 0 into 0
12.240 * [backup-simplify]: Simplify 1 into 1
12.240 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.240 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.240 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.240 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.240 * [taylor]: Taking taylor expansion of -1/2 in J
12.240 * [backup-simplify]: Simplify -1/2 into -1/2
12.240 * [taylor]: Taking taylor expansion of K in J
12.240 * [backup-simplify]: Simplify K into K
12.240 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.240 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.240 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.240 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.240 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.241 * [backup-simplify]: Simplify (- 0) into 0
12.241 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.241 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.241 * [taylor]: Taking taylor expansion of U in J
12.241 * [backup-simplify]: Simplify U into U
12.241 * [backup-simplify]: Simplify (* 1 1) into 1
12.241 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.241 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.241 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.241 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.242 * [backup-simplify]: Simplify (+ 1 0) into 1
12.242 * [backup-simplify]: Simplify (sqrt 1) into 1
12.242 * [backup-simplify]: Simplify (+ 0 0) into 0
12.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.243 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.243 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.243 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
12.243 * [taylor]: Taking taylor expansion of 2 in U
12.243 * [backup-simplify]: Simplify 2 into 2
12.243 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.243 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.243 * [taylor]: Taking taylor expansion of -1/2 in U
12.243 * [backup-simplify]: Simplify -1/2 into -1/2
12.243 * [taylor]: Taking taylor expansion of K in U
12.243 * [backup-simplify]: Simplify K into K
12.243 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.243 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.243 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.243 * [backup-simplify]: Simplify (+ 0) into 0
12.243 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.244 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.244 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.244 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.245 * [backup-simplify]: Simplify (- 0) into 0
12.245 * [backup-simplify]: Simplify (+ 0 0) into 0
12.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
12.246 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.246 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.246 * [taylor]: Taking taylor expansion of 0 in U
12.246 * [backup-simplify]: Simplify 0 into 0
12.247 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.247 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.247 * [backup-simplify]: Simplify (- 0) into 0
12.247 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.247 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.247 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
12.247 * [taylor]: Taking taylor expansion of 2 in K
12.247 * [backup-simplify]: Simplify 2 into 2
12.247 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.247 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.247 * [taylor]: Taking taylor expansion of -1/2 in K
12.247 * [backup-simplify]: Simplify -1/2 into -1/2
12.247 * [taylor]: Taking taylor expansion of K in K
12.247 * [backup-simplify]: Simplify 0 into 0
12.247 * [backup-simplify]: Simplify 1 into 1
12.248 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.248 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.248 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.248 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.248 * [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)))
12.248 * [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))))
12.249 * [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)))
12.250 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.250 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.250 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.251 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.251 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.251 * [backup-simplify]: Simplify (- 0) into 0
12.251 * [backup-simplify]: Simplify (+ 0 0) into 0
12.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.253 * [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))))
12.253 * [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))))
12.253 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U
12.253 * [taylor]: Taking taylor expansion of 1/4 in U
12.253 * [backup-simplify]: Simplify 1/4 into 1/4
12.253 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U
12.253 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
12.253 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.253 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.253 * [taylor]: Taking taylor expansion of -1/2 in U
12.253 * [backup-simplify]: Simplify -1/2 into -1/2
12.253 * [taylor]: Taking taylor expansion of K in U
12.253 * [backup-simplify]: Simplify K into K
12.253 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.253 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.254 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.254 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.254 * [taylor]: Taking taylor expansion of U in U
12.254 * [backup-simplify]: Simplify 0 into 0
12.254 * [backup-simplify]: Simplify 1 into 1
12.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.254 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.254 * [backup-simplify]: Simplify (- 0) into 0
12.254 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.254 * [backup-simplify]: Simplify (* 1 1) into 1
12.254 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.254 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
12.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.255 * [backup-simplify]: Simplify (+ 0) into 0
12.255 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.255 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.256 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.256 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.256 * [backup-simplify]: Simplify (- 0) into 0
12.257 * [backup-simplify]: Simplify (+ 0 0) into 0
12.257 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.257 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
12.257 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
12.257 * [taylor]: Taking taylor expansion of 0 in K
12.257 * [backup-simplify]: Simplify 0 into 0
12.257 * [backup-simplify]: Simplify 0 into 0
12.258 * [taylor]: Taking taylor expansion of 0 in K
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify 0 into 0
12.258 * [backup-simplify]: Simplify (+ 0) into 0
12.258 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.258 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.259 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.259 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.259 * [backup-simplify]: Simplify (- 0) into 0
12.259 * [backup-simplify]: Simplify (+ 0 0) into 0
12.260 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.260 * [taylor]: Taking taylor expansion of 0 in K
12.260 * [backup-simplify]: Simplify 0 into 0
12.260 * [backup-simplify]: Simplify 0 into 0
12.260 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.260 * [backup-simplify]: Simplify 0 into 0
12.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.261 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.261 * [backup-simplify]: Simplify (+ 0) into 0
12.261 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.261 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.262 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.262 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.262 * [backup-simplify]: Simplify (- 0) into 0
12.262 * [backup-simplify]: Simplify (+ 0 0) into 0
12.263 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.263 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
12.263 * [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
12.263 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.264 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
12.265 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.265 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.265 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.266 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.266 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.267 * [backup-simplify]: Simplify (- 0) into 0
12.267 * [backup-simplify]: Simplify (+ 0 0) into 0
12.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.269 * [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
12.269 * [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
12.269 * [taylor]: Taking taylor expansion of 0 in U
12.269 * [backup-simplify]: Simplify 0 into 0
12.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.271 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.271 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.271 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.272 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.276 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.276 * [backup-simplify]: Simplify (- 0) into 0
12.277 * [backup-simplify]: Simplify (+ 0 0) into 0
12.277 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
12.278 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
12.278 * [taylor]: Taking taylor expansion of 0 in K
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [taylor]: Taking taylor expansion of 0 in K
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify 0 into 0
12.278 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
12.278 * * * [progress]: simplifying candidates
12.278 * * * * [progress]: [ 1 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) 1/2)) (cos (/ K 2))))>
12.278 * * * * [progress]: [ 2 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) 1)) (cos (/ K 2))))>
12.278 * * * * [progress]: [ 3 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (exp (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.278 * * * * [progress]: [ 4 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (log (exp (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.278 * * * * [progress]: [ 5 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.278 * * * * [progress]: [ 6 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 7 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (* (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 8 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 9 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt 1) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 10 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (/ (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3))) (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 11 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (/ (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 12 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (/ 1 2))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 13 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 14 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (fabs (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 15 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 16 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (posit16->real (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 17 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 18 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 19 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 20 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (+ (log -2) (log J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 21 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (log (* -2 J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 22 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 23 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 24 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 25 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 26 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 27 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 28 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.279 * * * * [progress]: [ 29 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 30 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 31 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (* (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 32 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 33 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt 1)) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 34 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 35 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) 1) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 36 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* J (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 37 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3)))) (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 38 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* -2 J) (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 39 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 40 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (* -2 J)) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 41 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (+ 1 1))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 42 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 43 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) 2)))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 44 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (+ 1 1))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 45 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 1)))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 46 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 47 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 48 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 49 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 50 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.280 * * * * [progress]: [ 51 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 52 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 53 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 54 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 55 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 56 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 57 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 58 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 59 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 60 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 61 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 62 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 63 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 64 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 65 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 66 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 67 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (- (log U) (log 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 68 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 69 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (log (/ U 2)) (log (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 70 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 71 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (exp (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 72 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (log (exp (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.281 * * * * [progress]: [ 73 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 74 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 75 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 76 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 77 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 78 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 79 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 80 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 81 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 82 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 83 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 84 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 85 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 86 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 87 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 88 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 89 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 90 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.282 * * * * [progress]: [ 91 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 92 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 93 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 94 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 95 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 96 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 97 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 98 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 99 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 100 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (sqrt (* (/ (/ 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)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 101 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (/ (* (/ U 2) (/ U 2)) (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 102 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 103 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 104 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 105 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J)) (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (cbrt (/ U 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 106 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (sqrt (/ U 2)) J) (/ (sqrt (/ U 2)) J)) (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (sqrt (/ U 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 107 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J) (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 108 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J) (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J)) (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 109 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (/ (/ (* (cbrt U) (cbrt U)) 1) J)) (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ (cbrt U) 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 110 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J) (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.283 * * * * [progress]: [ 111 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) (sqrt 2)) J) (/ (/ (sqrt U) (sqrt 2)) J)) (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 112 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) 1) J) (/ (/ (sqrt U) 1) J)) (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ (sqrt U) 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 113 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 (* (cbrt 2) (cbrt 2))) J) (/ (/ 1 (* (cbrt 2) (cbrt 2))) J)) (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U (cbrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 114 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 (sqrt 2)) J) (/ (/ 1 (sqrt 2)) J)) (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U (sqrt 2)) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 115 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 1) J) (/ (/ 1 1) J)) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 116 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ 1 J) (/ 1 J)) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 117 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ U J) (/ U J)) (* (/ (/ 1 2) (cos (/ K 2))) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 118 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* 1 1) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 119 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ U 2) (/ U 2)) (* (/ 1 (* J (cos (/ K 2)))) (/ 1 (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 120 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 121 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (pow (/ (/ U 2) (* J (cos (/ K 2)))) (* 2 1))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 122 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 123 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt (/ (/ U 2) (* J (cos (/ K 2)))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 124 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J)) (/ (cbrt (/ U 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 125 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt (/ U 2)) J)) (/ (sqrt (/ U 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 126 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J)) (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 127 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J)) (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 128 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) 1) J)) (/ (/ (cbrt U) 2) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 129 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J)) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 130 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) (sqrt 2)) J)) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 131 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) 1) J)) (/ (/ (sqrt U) 2) (cos (/ K 2))))))) (cos (/ K 2))))>
12.284 * * * * [progress]: [ 132 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 (* (cbrt 2) (cbrt 2))) J)) (/ (/ U (cbrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 133 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 (sqrt 2)) J)) (/ (/ U (sqrt 2)) (cos (/ K 2))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 134 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ 1 1) J)) (/ (/ U 2) (cos (/ K 2))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 135 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 J)) (/ (/ U 2) (cos (/ K 2))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 136 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 137 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) 1) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 138 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U 2)) (/ 1 (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 139 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 140 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 141 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 142 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (sqrt (/ U 2)) J) (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 143 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 144 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J) (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 145 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 146 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 147 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (sqrt U) (sqrt 2)) J) (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 148 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ (sqrt U) 1) J) (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 149 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ 1 (* (cbrt 2) (cbrt 2))) J) (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 150 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ 1 (sqrt 2)) J) (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 151 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ 1 1) J) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 152 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ 1 J) (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 153 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ U J) (* (/ (/ 1 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.285 * * * * [progress]: [ 154 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 155 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ U 2) (* (/ 1 (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 156 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (/ (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U 2)) (* J (cos (/ K 2))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 157 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (/ (* (/ U 2) (/ (/ U 2) (* J (cos (/ K 2))))) (* J (cos (/ K 2))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 158 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (posit16->real (real->posit16 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 159 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))>
12.286 * * * * [progress]: [ 160 / 195 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) 1))>
12.286 * * * * [progress]: [ 161 / 195 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) 1))>
12.286 * * * * [progress]: [ 162 / 195 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) 1))>
12.286 * * * * [progress]: [ 163 / 195 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) 1))>
12.286 * * * * [progress]: [ 164 / 195 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (log (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 165 / 195 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (log (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 166 / 195 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (log (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 167 / 195 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 168 / 195 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 169 / 195 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 170 / 195 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 171 / 195 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 172 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))) (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 173 / 195 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 174 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.286 * * * * [progress]: [ 175 / 195 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))))>
12.286 * * * * [progress]: [ 176 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))>
12.286 * * * * [progress]: [ 177 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))>
12.286 * * * * [progress]: [ 178 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) 1) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 179 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))))>
12.287 * * * * [progress]: [ 180 / 195 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3)))) (cos (/ K 2))) (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))))>
12.287 * * * * [progress]: [ 181 / 195 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cos (/ K 2))) (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))>
12.287 * * * * [progress]: [ 182 / 195 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))>
12.287 * * * * [progress]: [ 183 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (cos (/ K 2)) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))>
12.287 * * * * [progress]: [ 184 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) 1) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 185 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 186 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 187 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* -1 U) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 188 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 189 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 190 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (pow U 2) (pow J 2))))))) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 191 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 192 / 195 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (cos (/ K 2))))>
12.287 * * * * [progress]: [ 193 / 195 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
12.287 * * * * [progress]: [ 194 / 195 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
12.287 * * * * [progress]: [ 195 / 195 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
12.289 * [simplify]: Simplifying:
  (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (exp (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (* (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt 1)
  (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3)))
  (sqrt (+ (* 1 1) (- (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (- (* 1 1) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (- 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (/ 1 2)
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))
  (+ (+ (log -2) (log J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (+ (log (* -2 J)) (log (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (log (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (exp (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))))
  (cbrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
  (sqrt (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))))
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  (* (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) 3)))) (cos (/ K 2)))
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  (real->posit16 (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* -1 U)
  (* -2 J)
  (* -2 J)
  (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/4 (/ (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))))
  (* -1 U)
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
12.296 * * [simplify]: iteration 1: (327 enodes)
12.440 * * [simplify]: iteration 2: (1034 enodes)
13.329 * * [simplify]: Extracting #0: cost 122 inf + 0
13.335 * * [simplify]: Extracting #1: cost 1143 inf + 3
13.342 * * [simplify]: Extracting #2: cost 1747 inf + 1449
13.355 * * [simplify]: Extracting #3: cost 1571 inf + 27564
13.387 * * [simplify]: Extracting #4: cost 1298 inf + 84053
13.471 * * [simplify]: Extracting #5: cost 645 inf + 293607
13.596 * * [simplify]: Extracting #6: cost 106 inf + 506084
13.737 * * [simplify]: Extracting #7: cost 2 inf + 550461
13.908 * * [simplify]: Extracting #8: cost 0 inf + 550996
14.040 * [simplify]: Simplified to:
  (log (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (exp (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
  (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (fabs (cbrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (cbrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  1
  (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
  (sqrt (+ 1 (- (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (- 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  1/2
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (real->posit16 (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J)
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J)
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (log (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (exp (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (* J (* J J)))))
  (* (* -2 J) (* (* -2 J) (* (* (* -2 J) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
  (* (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J)) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J)))
  (cbrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (* (* -2 J) (* (* -2 J) (* (* (* -2 J) (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
  (sqrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (sqrt (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  (* (* -2 J) (* (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cbrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))))
  (* -2 (* (fabs (cbrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) J))
  (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* -2 J))
  (* -2 J)
  (* (sqrt (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (* -2 J))
  (* -2 J)
  (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))))
  (* J (* -2 (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
  (* (* -2 J) (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
  (real->posit16 (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))
  2
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  2
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (log (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (exp (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (/ (/ (/ (* U (* U U)) 8) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J)) (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cos (/ K 2)) J)))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (cbrt (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (fabs (/ (/ U 2) (* (cos (/ K 2)) J)))
  (fabs (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (/ U 2) (/ U 2))
  (* (* (cos (/ K 2)) J) (* (cos (/ K 2)) J))
  (* (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))))
  (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J))
  (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (cbrt (/ U 2)) (cos (/ K 2))))
  (* (/ (sqrt (/ U 2)) J) (/ (sqrt (/ U 2)) J))
  (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ (sqrt (/ U 2)) (cos (/ K 2))))
  (* (/ (* (/ (cbrt U) (cbrt 2)) (/ (cbrt U) (cbrt 2))) J) (/ (* (/ (cbrt U) (cbrt 2)) (/ (cbrt U) (cbrt 2))) J))
  (* (/ (/ (cbrt U) (cos (/ K 2))) (cbrt 2)) (/ (/ (cbrt U) (cos (/ K 2))) (cbrt 2)))
  (* (/ (* (/ (cbrt U) (sqrt 2)) (cbrt U)) J) (/ (* (/ (cbrt U) (sqrt 2)) (cbrt U)) J))
  (* (/ (/ (cbrt U) (cos (/ K 2))) (sqrt 2)) (/ (/ (cbrt U) (cos (/ K 2))) (sqrt 2)))
  (* (/ (* (cbrt U) (cbrt U)) J) (/ (* (cbrt U) (cbrt U)) J))
  (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ (cbrt U) 2) (cos (/ K 2))))
  (* (/ (sqrt U) (* (* J (cbrt 2)) (cbrt 2))) (/ (sqrt U) (* (* J (cbrt 2)) (cbrt 2))))
  (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))))
  (* (/ (/ (sqrt U) J) (sqrt 2)) (/ (/ (sqrt U) J) (sqrt 2)))
  (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))))
  (* (/ (sqrt U) J) (/ (sqrt U) J))
  (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ (sqrt U) 2) (cos (/ K 2))))
  (* (/ (/ 1 J) (* (cbrt 2) (cbrt 2))) (/ (/ 1 J) (* (cbrt 2) (cbrt 2))))
  (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U (cbrt 2)) (cos (/ K 2))))
  (* (/ (/ 1 J) (sqrt 2)) (/ (/ 1 J) (sqrt 2)))
  (* (/ (/ U (cos (/ K 2))) (sqrt 2)) (/ (/ U (cos (/ K 2))) (sqrt 2)))
  (/ (/ 1 J) J)
  (* (/ (/ U (cos (/ K 2))) 2) (/ (/ U (cos (/ K 2))) 2))
  (/ (/ 1 J) J)
  (* (/ (/ U (cos (/ K 2))) 2) (/ (/ U (cos (/ K 2))) 2))
  (* (/ U J) (/ U J))
  (/ (/ 1/4 (cos (/ K 2))) (cos (/ K 2)))
  1
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (/ U 2) (/ U 2))
  (* (/ 1 (* (cos (/ K 2)) J)) (/ 1 (* (cos (/ K 2)) J)))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  2
  (* (* (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J)))) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J))
  (/ (* (/ (sqrt (/ U 2)) J) (/ (/ U 2) J)) (cos (/ K 2)))
  (/ (* U (/ (* (/ (cbrt U) (cbrt 2)) (/ (cbrt U) (cbrt 2))) J)) (* (cos (/ K 2)) (* J 2)))
  (/ (/ (* U (* (/ (cbrt U) (sqrt 2)) (cbrt U))) (* (cos (/ K 2)) (* J 2))) J)
  (/ (/ (* U (* (cbrt U) (cbrt U))) (* (cos (/ K 2)) (* J 2))) J)
  (/ (* (/ (/ U 2) J) (/ (sqrt U) (* (* J (cbrt 2)) (cbrt 2)))) (cos (/ K 2)))
  (* (/ (/ U (cos (/ K 2))) 2) (/ (/ (/ (sqrt U) J) (sqrt 2)) J))
  (/ (* (sqrt U) (/ (/ U 2) (* (cos (/ K 2)) J))) J)
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (* J (cbrt 2)) (cbrt 2)))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (sqrt 2) J))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) J)
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) J)
  (/ (* (/ U J) (/ (/ U 2) J)) (cos (/ K 2)))
  (/ (/ U 2) (* (cos (/ K 2)) J))
  (/ (* (/ U 2) (/ (/ U 2) J)) (cos (/ K 2)))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (cbrt (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* (sqrt (/ (/ U 2) (* (cos (/ K 2)) J))) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (/ (/ (* (cbrt (/ U 2)) (/ U 2)) (cos (/ K 2))) (* (cos (/ K 2)) J))
  (/ (/ (* (sqrt (/ U 2)) (/ U 2)) (cos (/ K 2))) (* (cos (/ K 2)) J))
  (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (cbrt U)) (* (cbrt 2) (cos (/ K 2))))
  (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (cbrt U)) (* (sqrt 2) (cos (/ K 2))))
  (* (/ (/ (/ (cbrt U) 2) (cos (/ K 2))) (cos (/ K 2))) (/ (/ U 2) J))
  (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (/ (/ (sqrt U) (sqrt 2)) (/ (cos (/ K 2)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (/ (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (sqrt U) 2)) (cos (/ K 2)))
  (* (/ (/ (/ U (cbrt 2)) (cos (/ K 2))) (cos (/ K 2))) (/ (/ U 2) J))
  (* (/ (/ (/ U (cos (/ K 2))) (sqrt 2)) J) (/ (/ U (cos (/ K 2))) 2))
  (/ (* (/ (/ U (cos (/ K 2))) 2) (/ (/ U (cos (/ K 2))) 2)) J)
  (/ (* (/ (/ U (cos (/ K 2))) 2) (/ (/ U (cos (/ K 2))) 2)) J)
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) 2))
  (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))
  (/ (/ (/ U 2) (* (cos (/ K 2)) J)) (* (cos (/ K 2)) J))
  (/ (* (/ U 2) (/ (/ U 2) J)) (cos (/ K 2)))
  (/ (* (/ U 2) (/ (/ U 2) J)) (cos (/ K 2)))
  (real->posit16 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))
  (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2))))
  (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2))))
  (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2))))
  (log (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (log (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (log (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (log (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (exp (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (* (* (* (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* -8 (* J (* J J))))) (cos (/ K 2))) (* (cos (/ K 2)) (cos (/ K 2))))
  (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))
  (* (cbrt (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2))))) (cbrt (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2))))))
  (cbrt (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (* (* (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))) (* (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))) (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J))) (cos (/ K 2)))
  (sqrt (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (sqrt (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  (* (* -2 J) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
  (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (* (* -2 J) (sqrt (cos (/ K 2)))))
  (* (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) -2) J)
  (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (cos (/ K 2)))
  (* (* -2 J) (* (cos (/ K 2)) (sqrt (+ 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))))
  (* (* (cos (/ K 2)) (* -2 J)) (sqrt (- 1 (* (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))) (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))))
  (real->posit16 (* -2 (* (* J (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J)))))) (cos (/ K 2)))))
  1
  (* (/ (/ U (cos (* 1/2 K))) J) 1/2)
  (* (/ (/ U (cos (* 1/2 K))) J) 1/2)
  (- U)
  (* -2 J)
  (* -2 J)
  (+ (* 1/16 (/ (* K K) (* (/ J U) (/ J U)))) (* 1/4 (* (/ U J) (/ U J))))
  (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))
  (/ (* 1/4 (* (/ U J) (/ U J))) (* (cos (* 1/2 K)) (cos (* 1/2 K))))
  (- U)
  (* (* -2 (cos (* 1/2 K))) J)
  (* (* -2 (cos (* 1/2 K))) J)
14.065 * * * [progress]: adding candidates to table
16.874 * * [progress]: iteration 4 / 4
16.874 * * * [progress]: picking best candidate
16.949 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
16.949 * * * [progress]: localizing error
17.034 * * * [progress]: generating rewritten candidates
17.034 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2)
17.041 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1)
17.087 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1 2 1)
17.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
17.250 * * * [progress]: generating series expansions
17.250 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2)
17.252 * [backup-simplify]: Simplify (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) into (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))
17.252 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in (U J K) around 0
17.252 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
17.252 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
17.252 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
17.252 * [taylor]: Taking taylor expansion of 1/4 in K
17.252 * [backup-simplify]: Simplify 1/4 into 1/4
17.252 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
17.252 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.252 * [taylor]: Taking taylor expansion of U in K
17.252 * [backup-simplify]: Simplify U into U
17.252 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
17.252 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
17.252 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.252 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.252 * [taylor]: Taking taylor expansion of 1/2 in K
17.252 * [backup-simplify]: Simplify 1/2 into 1/2
17.252 * [taylor]: Taking taylor expansion of K in K
17.252 * [backup-simplify]: Simplify 0 into 0
17.252 * [backup-simplify]: Simplify 1 into 1
17.253 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.253 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.253 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.254 * [taylor]: Taking taylor expansion of J in K
17.254 * [backup-simplify]: Simplify J into J
17.254 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.254 * [backup-simplify]: Simplify (* 1 1) into 1
17.254 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.254 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
17.254 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
17.254 * [taylor]: Taking taylor expansion of 1 in K
17.254 * [backup-simplify]: Simplify 1 into 1
17.255 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
17.255 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
17.255 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
17.255 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.255 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.256 * [backup-simplify]: Simplify (+ 0) into 0
17.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
17.257 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
17.258 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
17.258 * [backup-simplify]: Simplify (+ 0 0) into 0
17.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
17.258 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
17.258 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
17.258 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
17.258 * [taylor]: Taking taylor expansion of 1/4 in J
17.258 * [backup-simplify]: Simplify 1/4 into 1/4
17.259 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.259 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.259 * [taylor]: Taking taylor expansion of U in J
17.259 * [backup-simplify]: Simplify U into U
17.259 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.259 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.259 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.259 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.259 * [taylor]: Taking taylor expansion of 1/2 in J
17.259 * [backup-simplify]: Simplify 1/2 into 1/2
17.259 * [taylor]: Taking taylor expansion of K in J
17.259 * [backup-simplify]: Simplify K into K
17.259 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.259 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.259 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.259 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.259 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.259 * [backup-simplify]: Simplify (- 0) into 0
17.260 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.260 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.260 * [taylor]: Taking taylor expansion of J in J
17.260 * [backup-simplify]: Simplify 0 into 0
17.260 * [backup-simplify]: Simplify 1 into 1
17.260 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.260 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.261 * [backup-simplify]: Simplify (* 1 1) into 1
17.261 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.261 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
17.261 * [taylor]: Taking taylor expansion of 1 in J
17.261 * [backup-simplify]: Simplify 1 into 1
17.261 * [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)))
17.261 * [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)))
17.262 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
17.262 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.262 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.263 * [backup-simplify]: Simplify (+ 0) into 0
17.263 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.264 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.264 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.265 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.265 * [backup-simplify]: Simplify (- 0) into 0
17.265 * [backup-simplify]: Simplify (+ 0 0) into 0
17.265 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.266 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.266 * [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
17.266 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
17.267 * [backup-simplify]: Simplify (+ 0 0) into 0
17.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.267 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
17.267 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
17.267 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
17.267 * [taylor]: Taking taylor expansion of 1/4 in U
17.267 * [backup-simplify]: Simplify 1/4 into 1/4
17.267 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
17.267 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.267 * [taylor]: Taking taylor expansion of U in U
17.267 * [backup-simplify]: Simplify 0 into 0
17.267 * [backup-simplify]: Simplify 1 into 1
17.267 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
17.267 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
17.267 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.267 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.267 * [taylor]: Taking taylor expansion of 1/2 in U
17.267 * [backup-simplify]: Simplify 1/2 into 1/2
17.267 * [taylor]: Taking taylor expansion of K in U
17.267 * [backup-simplify]: Simplify K into K
17.267 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.267 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.267 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.267 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.268 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.268 * [backup-simplify]: Simplify (- 0) into 0
17.268 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.268 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.268 * [taylor]: Taking taylor expansion of J in U
17.268 * [backup-simplify]: Simplify J into J
17.268 * [backup-simplify]: Simplify (* 1 1) into 1
17.268 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.268 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.268 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
17.268 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
17.269 * [taylor]: Taking taylor expansion of 1 in U
17.269 * [backup-simplify]: Simplify 1 into 1
17.269 * [backup-simplify]: Simplify (+ 0 1) into 1
17.269 * [backup-simplify]: Simplify (sqrt 1) into 1
17.269 * [backup-simplify]: Simplify (+ 0 0) into 0
17.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.270 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
17.270 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
17.270 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
17.270 * [taylor]: Taking taylor expansion of 1/4 in U
17.270 * [backup-simplify]: Simplify 1/4 into 1/4
17.270 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
17.270 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.270 * [taylor]: Taking taylor expansion of U in U
17.270 * [backup-simplify]: Simplify 0 into 0
17.270 * [backup-simplify]: Simplify 1 into 1
17.270 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
17.270 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
17.270 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.270 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.270 * [taylor]: Taking taylor expansion of 1/2 in U
17.270 * [backup-simplify]: Simplify 1/2 into 1/2
17.270 * [taylor]: Taking taylor expansion of K in U
17.270 * [backup-simplify]: Simplify K into K
17.270 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.270 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.270 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.270 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.270 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.271 * [backup-simplify]: Simplify (- 0) into 0
17.271 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.271 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.271 * [taylor]: Taking taylor expansion of J in U
17.271 * [backup-simplify]: Simplify J into J
17.271 * [backup-simplify]: Simplify (* 1 1) into 1
17.271 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.271 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.271 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
17.271 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
17.271 * [taylor]: Taking taylor expansion of 1 in U
17.271 * [backup-simplify]: Simplify 1 into 1
17.272 * [backup-simplify]: Simplify (+ 0 1) into 1
17.272 * [backup-simplify]: Simplify (sqrt 1) into 1
17.272 * [backup-simplify]: Simplify (+ 0 0) into 0
17.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.273 * [taylor]: Taking taylor expansion of 1 in J
17.273 * [backup-simplify]: Simplify 1 into 1
17.273 * [taylor]: Taking taylor expansion of 0 in J
17.273 * [backup-simplify]: Simplify 0 into 0
17.273 * [taylor]: Taking taylor expansion of 1 in K
17.273 * [backup-simplify]: Simplify 1 into 1
17.273 * [backup-simplify]: Simplify 1 into 1
17.273 * [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)))
17.273 * [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))))
17.274 * [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)))
17.274 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.274 * [taylor]: Taking taylor expansion of 1/8 in J
17.274 * [backup-simplify]: Simplify 1/8 into 1/8
17.274 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.274 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.274 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.274 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.274 * [taylor]: Taking taylor expansion of 1/2 in J
17.274 * [backup-simplify]: Simplify 1/2 into 1/2
17.274 * [taylor]: Taking taylor expansion of K in J
17.274 * [backup-simplify]: Simplify K into K
17.274 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.274 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.274 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.274 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.274 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.274 * [backup-simplify]: Simplify (- 0) into 0
17.274 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.275 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.275 * [taylor]: Taking taylor expansion of J in J
17.275 * [backup-simplify]: Simplify 0 into 0
17.275 * [backup-simplify]: Simplify 1 into 1
17.275 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.275 * [backup-simplify]: Simplify (* 1 1) into 1
17.275 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.275 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
17.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.276 * [backup-simplify]: Simplify (+ 0) into 0
17.276 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.277 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.277 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.277 * [backup-simplify]: Simplify (- 0) into 0
17.278 * [backup-simplify]: Simplify (+ 0 0) into 0
17.278 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.278 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.278 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
17.278 * [taylor]: Taking taylor expansion of 0 in K
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [taylor]: Taking taylor expansion of 0 in K
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [taylor]: Taking taylor expansion of 0 in K
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [backup-simplify]: Simplify 0 into 0
17.278 * [backup-simplify]: Simplify 0 into 0
17.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.279 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.279 * [backup-simplify]: Simplify (+ 0) into 0
17.279 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.280 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.280 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.281 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.281 * [backup-simplify]: Simplify (- 0) into 0
17.281 * [backup-simplify]: Simplify (+ 0 0) into 0
17.281 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.281 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
17.281 * [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
17.282 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
17.282 * [backup-simplify]: Simplify (+ 0 0) into 0
17.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
17.283 * [taylor]: Taking taylor expansion of 0 in J
17.283 * [backup-simplify]: Simplify 0 into 0
17.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.284 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.284 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.285 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.285 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.286 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.286 * [backup-simplify]: Simplify (- 0) into 0
17.287 * [backup-simplify]: Simplify (+ 0 0) into 0
17.287 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
17.288 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
17.289 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (* 1/2 K)) 2)) (+ (* (/ 1/8 (pow (cos (* 1/2 K)) 2)) (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
17.289 * [taylor]: Taking taylor expansion of 0 in K
17.289 * [backup-simplify]: Simplify 0 into 0
17.289 * [backup-simplify]: Simplify 0 into 0
17.289 * [taylor]: Taking taylor expansion of 0 in K
17.289 * [backup-simplify]: Simplify 0 into 0
17.289 * [backup-simplify]: Simplify 0 into 0
17.289 * [backup-simplify]: Simplify 1 into 1
17.290 * [backup-simplify]: Simplify (sqrt (+ 1 (* (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (/ 1 J))) (/ (/ 1 2) (cos (/ (/ 1 K) 2)))))) into (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1))
17.290 * [approximate]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in (U J K) around 0
17.290 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
17.290 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
17.290 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
17.290 * [taylor]: Taking taylor expansion of 1/4 in K
17.290 * [backup-simplify]: Simplify 1/4 into 1/4
17.290 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
17.290 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.290 * [taylor]: Taking taylor expansion of J in K
17.290 * [backup-simplify]: Simplify J into J
17.290 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
17.290 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.290 * [taylor]: Taking taylor expansion of U in K
17.290 * [backup-simplify]: Simplify U into U
17.290 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
17.290 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.290 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.290 * [taylor]: Taking taylor expansion of 1/2 in K
17.290 * [backup-simplify]: Simplify 1/2 into 1/2
17.290 * [taylor]: Taking taylor expansion of K in K
17.290 * [backup-simplify]: Simplify 0 into 0
17.290 * [backup-simplify]: Simplify 1 into 1
17.291 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.291 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.291 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.291 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.291 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.292 * [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)))
17.292 * [taylor]: Taking taylor expansion of 1 in K
17.292 * [backup-simplify]: Simplify 1 into 1
17.292 * [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))))
17.292 * [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)
17.293 * [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))
17.293 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.293 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.293 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.294 * [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
17.295 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.295 * [backup-simplify]: Simplify (+ 0 0) into 0
17.295 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
17.295 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
17.295 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
17.296 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
17.296 * [taylor]: Taking taylor expansion of 1/4 in J
17.296 * [backup-simplify]: Simplify 1/4 into 1/4
17.296 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
17.296 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.296 * [taylor]: Taking taylor expansion of J in J
17.296 * [backup-simplify]: Simplify 0 into 0
17.296 * [backup-simplify]: Simplify 1 into 1
17.296 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
17.296 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.296 * [taylor]: Taking taylor expansion of U in J
17.296 * [backup-simplify]: Simplify U into U
17.296 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
17.296 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.296 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.296 * [taylor]: Taking taylor expansion of 1/2 in J
17.296 * [backup-simplify]: Simplify 1/2 into 1/2
17.296 * [taylor]: Taking taylor expansion of K in J
17.296 * [backup-simplify]: Simplify K into K
17.296 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.296 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.296 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.296 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.296 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.297 * [backup-simplify]: Simplify (- 0) into 0
17.297 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.297 * [backup-simplify]: Simplify (* 1 1) into 1
17.297 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.297 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.298 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.298 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
17.298 * [taylor]: Taking taylor expansion of 1 in J
17.298 * [backup-simplify]: Simplify 1 into 1
17.298 * [backup-simplify]: Simplify (+ 0 1) into 1
17.299 * [backup-simplify]: Simplify (sqrt 1) into 1
17.299 * [backup-simplify]: Simplify (+ 0 0) into 0
17.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.300 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
17.300 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
17.300 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
17.300 * [taylor]: Taking taylor expansion of 1/4 in U
17.300 * [backup-simplify]: Simplify 1/4 into 1/4
17.300 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
17.300 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.300 * [taylor]: Taking taylor expansion of J in U
17.300 * [backup-simplify]: Simplify J into J
17.300 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
17.300 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.300 * [taylor]: Taking taylor expansion of U in U
17.300 * [backup-simplify]: Simplify 0 into 0
17.300 * [backup-simplify]: Simplify 1 into 1
17.300 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
17.300 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.301 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.301 * [taylor]: Taking taylor expansion of 1/2 in U
17.301 * [backup-simplify]: Simplify 1/2 into 1/2
17.301 * [taylor]: Taking taylor expansion of K in U
17.301 * [backup-simplify]: Simplify K into K
17.301 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.301 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.301 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.301 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.301 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.302 * [backup-simplify]: Simplify (- 0) into 0
17.302 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.302 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.303 * [backup-simplify]: Simplify (* 1 1) into 1
17.303 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.303 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
17.303 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
17.303 * [taylor]: Taking taylor expansion of 1 in U
17.303 * [backup-simplify]: Simplify 1 into 1
17.303 * [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)))
17.304 * [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)))
17.304 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
17.304 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.304 * [backup-simplify]: Simplify (+ 0) into 0
17.305 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.305 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.305 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.306 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.306 * [backup-simplify]: Simplify (- 0) into 0
17.306 * [backup-simplify]: Simplify (+ 0 0) into 0
17.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.307 * [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
17.308 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
17.308 * [backup-simplify]: Simplify (+ 0 0) into 0
17.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
17.308 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
17.308 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
17.308 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
17.308 * [taylor]: Taking taylor expansion of 1/4 in U
17.308 * [backup-simplify]: Simplify 1/4 into 1/4
17.308 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
17.308 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.308 * [taylor]: Taking taylor expansion of J in U
17.308 * [backup-simplify]: Simplify J into J
17.308 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
17.308 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.308 * [taylor]: Taking taylor expansion of U in U
17.308 * [backup-simplify]: Simplify 0 into 0
17.309 * [backup-simplify]: Simplify 1 into 1
17.309 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
17.309 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.309 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.309 * [taylor]: Taking taylor expansion of 1/2 in U
17.309 * [backup-simplify]: Simplify 1/2 into 1/2
17.309 * [taylor]: Taking taylor expansion of K in U
17.309 * [backup-simplify]: Simplify K into K
17.309 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.309 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.309 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.309 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.309 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.309 * [backup-simplify]: Simplify (- 0) into 0
17.309 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.309 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.309 * [backup-simplify]: Simplify (* 1 1) into 1
17.310 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.310 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
17.310 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
17.310 * [taylor]: Taking taylor expansion of 1 in U
17.310 * [backup-simplify]: Simplify 1 into 1
17.310 * [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)))
17.310 * [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)))
17.310 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
17.310 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.311 * [backup-simplify]: Simplify (+ 0) into 0
17.311 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.311 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.312 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.312 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.312 * [backup-simplify]: Simplify (- 0) into 0
17.312 * [backup-simplify]: Simplify (+ 0 0) into 0
17.313 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.314 * [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
17.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
17.314 * [backup-simplify]: Simplify (+ 0 0) into 0
17.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
17.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
17.315 * [taylor]: Taking taylor expansion of 1/2 in J
17.315 * [backup-simplify]: Simplify 1/2 into 1/2
17.315 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
17.315 * [taylor]: Taking taylor expansion of J in J
17.315 * [backup-simplify]: Simplify 0 into 0
17.315 * [backup-simplify]: Simplify 1 into 1
17.315 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.315 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.315 * [taylor]: Taking taylor expansion of 1/2 in J
17.315 * [backup-simplify]: Simplify 1/2 into 1/2
17.315 * [taylor]: Taking taylor expansion of K in J
17.315 * [backup-simplify]: Simplify K into K
17.315 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.315 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.315 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.315 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.315 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.315 * [backup-simplify]: Simplify (- 0) into 0
17.315 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.315 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
17.315 * [taylor]: Taking taylor expansion of 0 in J
17.315 * [backup-simplify]: Simplify 0 into 0
17.315 * [taylor]: Taking taylor expansion of 0 in K
17.315 * [backup-simplify]: Simplify 0 into 0
17.315 * [backup-simplify]: Simplify 0 into 0
17.315 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
17.315 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
17.316 * [taylor]: Taking taylor expansion of 1/2 in K
17.316 * [backup-simplify]: Simplify 1/2 into 1/2
17.316 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.316 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.316 * [taylor]: Taking taylor expansion of 1/2 in K
17.316 * [backup-simplify]: Simplify 1/2 into 1/2
17.316 * [taylor]: Taking taylor expansion of K in K
17.316 * [backup-simplify]: Simplify 0 into 0
17.316 * [backup-simplify]: Simplify 1 into 1
17.316 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.316 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.316 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
17.316 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
17.316 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
17.317 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.317 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.318 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.318 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.322 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.323 * [backup-simplify]: Simplify (- 0) into 0
17.323 * [backup-simplify]: Simplify (+ 0 0) into 0
17.323 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
17.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
17.325 * [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
17.325 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.326 * [backup-simplify]: Simplify (+ 0 1) into 1
17.326 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
17.326 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
17.326 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.326 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.326 * [taylor]: Taking taylor expansion of 1/2 in J
17.326 * [backup-simplify]: Simplify 1/2 into 1/2
17.326 * [taylor]: Taking taylor expansion of K in J
17.326 * [backup-simplify]: Simplify K into K
17.326 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.326 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.326 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.326 * [taylor]: Taking taylor expansion of J in J
17.327 * [backup-simplify]: Simplify 0 into 0
17.327 * [backup-simplify]: Simplify 1 into 1
17.327 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.327 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.327 * [backup-simplify]: Simplify (- 0) into 0
17.327 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.327 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.327 * [backup-simplify]: Simplify (+ 0) into 0
17.328 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.328 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.328 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.328 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.329 * [backup-simplify]: Simplify (- 0) into 0
17.329 * [backup-simplify]: Simplify (+ 0 0) into 0
17.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
17.330 * [taylor]: Taking taylor expansion of 0 in K
17.330 * [backup-simplify]: Simplify 0 into 0
17.330 * [backup-simplify]: Simplify 0 into 0
17.330 * [taylor]: Taking taylor expansion of 0 in K
17.330 * [backup-simplify]: Simplify 0 into 0
17.330 * [backup-simplify]: Simplify 0 into 0
17.330 * [backup-simplify]: Simplify (+ 0) into 0
17.330 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.330 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.331 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.331 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.331 * [backup-simplify]: Simplify (- 0) into 0
17.332 * [backup-simplify]: Simplify (+ 0 0) into 0
17.332 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.332 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
17.332 * [taylor]: Taking taylor expansion of 0 in K
17.332 * [backup-simplify]: Simplify 0 into 0
17.332 * [backup-simplify]: Simplify 0 into 0
17.332 * [backup-simplify]: Simplify 0 into 0
17.332 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.332 * [backup-simplify]: Simplify 0 into 0
17.333 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
17.334 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.335 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.335 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.336 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.337 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.337 * [backup-simplify]: Simplify (- 0) into 0
17.337 * [backup-simplify]: Simplify (+ 0 0) into 0
17.338 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
17.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
17.340 * [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))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
17.340 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
17.341 * [backup-simplify]: Simplify (+ 0 0) into 0
17.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
17.341 * [taylor]: Taking taylor expansion of 0 in J
17.341 * [backup-simplify]: Simplify 0 into 0
17.341 * [taylor]: Taking taylor expansion of 0 in K
17.341 * [backup-simplify]: Simplify 0 into 0
17.341 * [backup-simplify]: Simplify 0 into 0
17.341 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* (/ 1 J) (/ 1 (/ 1 U))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
17.342 * [backup-simplify]: Simplify (sqrt (+ 1 (* (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (/ 1 (- J)))) (/ (/ 1 2) (cos (/ (/ 1 (- K)) 2)))))) into (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))
17.342 * [approximate]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in (U J K) around 0
17.342 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
17.342 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
17.342 * [taylor]: Taking taylor expansion of 1 in K
17.342 * [backup-simplify]: Simplify 1 into 1
17.342 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
17.342 * [taylor]: Taking taylor expansion of 1/4 in K
17.342 * [backup-simplify]: Simplify 1/4 into 1/4
17.342 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
17.342 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.342 * [taylor]: Taking taylor expansion of J in K
17.342 * [backup-simplify]: Simplify J into J
17.342 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
17.342 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
17.342 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.342 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.342 * [taylor]: Taking taylor expansion of -1/2 in K
17.342 * [backup-simplify]: Simplify -1/2 into -1/2
17.342 * [taylor]: Taking taylor expansion of K in K
17.342 * [backup-simplify]: Simplify 0 into 0
17.342 * [backup-simplify]: Simplify 1 into 1
17.342 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.343 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.343 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.343 * [taylor]: Taking taylor expansion of U in K
17.343 * [backup-simplify]: Simplify U into U
17.343 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.343 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.343 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.343 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.343 * [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)))
17.343 * [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))))
17.343 * [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)))))
17.344 * [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))))))
17.344 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.344 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.344 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
17.344 * [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
17.345 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
17.345 * [backup-simplify]: Simplify (+ 0 0) into 0
17.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
17.345 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
17.345 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
17.345 * [taylor]: Taking taylor expansion of 1 in J
17.345 * [backup-simplify]: Simplify 1 into 1
17.345 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
17.345 * [taylor]: Taking taylor expansion of 1/4 in J
17.345 * [backup-simplify]: Simplify 1/4 into 1/4
17.345 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
17.345 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.345 * [taylor]: Taking taylor expansion of J in J
17.345 * [backup-simplify]: Simplify 0 into 0
17.345 * [backup-simplify]: Simplify 1 into 1
17.345 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
17.345 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
17.345 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.345 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.345 * [taylor]: Taking taylor expansion of -1/2 in J
17.345 * [backup-simplify]: Simplify -1/2 into -1/2
17.345 * [taylor]: Taking taylor expansion of K in J
17.345 * [backup-simplify]: Simplify K into K
17.345 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.345 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.346 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.346 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.346 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.346 * [backup-simplify]: Simplify (- 0) into 0
17.346 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.346 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.346 * [taylor]: Taking taylor expansion of U in J
17.346 * [backup-simplify]: Simplify U into U
17.346 * [backup-simplify]: Simplify (* 1 1) into 1
17.346 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.346 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.346 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.347 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
17.347 * [backup-simplify]: Simplify (+ 1 0) into 1
17.347 * [backup-simplify]: Simplify (sqrt 1) into 1
17.347 * [backup-simplify]: Simplify (+ 0 0) into 0
17.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.348 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
17.348 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
17.348 * [taylor]: Taking taylor expansion of 1 in U
17.348 * [backup-simplify]: Simplify 1 into 1
17.348 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
17.348 * [taylor]: Taking taylor expansion of 1/4 in U
17.348 * [backup-simplify]: Simplify 1/4 into 1/4
17.348 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
17.348 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.348 * [taylor]: Taking taylor expansion of J in U
17.348 * [backup-simplify]: Simplify J into J
17.348 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
17.348 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
17.348 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.348 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.348 * [taylor]: Taking taylor expansion of -1/2 in U
17.348 * [backup-simplify]: Simplify -1/2 into -1/2
17.348 * [taylor]: Taking taylor expansion of K in U
17.348 * [backup-simplify]: Simplify K into K
17.348 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.348 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.348 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.348 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.348 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.349 * [backup-simplify]: Simplify (- 0) into 0
17.349 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.349 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.349 * [taylor]: Taking taylor expansion of U in U
17.349 * [backup-simplify]: Simplify 0 into 0
17.349 * [backup-simplify]: Simplify 1 into 1
17.349 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.349 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.349 * [backup-simplify]: Simplify (* 1 1) into 1
17.349 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
17.349 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
17.349 * [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)))
17.349 * [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)))
17.350 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
17.350 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.350 * [backup-simplify]: Simplify (+ 0) into 0
17.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.351 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.351 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.351 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.352 * [backup-simplify]: Simplify (- 0) into 0
17.352 * [backup-simplify]: Simplify (+ 0 0) into 0
17.352 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.352 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
17.353 * [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
17.353 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
17.353 * [backup-simplify]: Simplify (+ 0 0) into 0
17.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
17.353 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
17.353 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
17.354 * [taylor]: Taking taylor expansion of 1 in U
17.354 * [backup-simplify]: Simplify 1 into 1
17.354 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
17.354 * [taylor]: Taking taylor expansion of 1/4 in U
17.354 * [backup-simplify]: Simplify 1/4 into 1/4
17.354 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
17.354 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.354 * [taylor]: Taking taylor expansion of J in U
17.354 * [backup-simplify]: Simplify J into J
17.354 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
17.354 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
17.354 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.354 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.354 * [taylor]: Taking taylor expansion of -1/2 in U
17.354 * [backup-simplify]: Simplify -1/2 into -1/2
17.354 * [taylor]: Taking taylor expansion of K in U
17.354 * [backup-simplify]: Simplify K into K
17.354 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.354 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.354 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.354 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.354 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.354 * [backup-simplify]: Simplify (- 0) into 0
17.354 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.354 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.354 * [taylor]: Taking taylor expansion of U in U
17.354 * [backup-simplify]: Simplify 0 into 0
17.354 * [backup-simplify]: Simplify 1 into 1
17.354 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.355 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.355 * [backup-simplify]: Simplify (* 1 1) into 1
17.355 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
17.355 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
17.355 * [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)))
17.355 * [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)))
17.356 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
17.356 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.356 * [backup-simplify]: Simplify (+ 0) into 0
17.357 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.357 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.357 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.357 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.358 * [backup-simplify]: Simplify (- 0) into 0
17.358 * [backup-simplify]: Simplify (+ 0 0) into 0
17.358 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.358 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
17.359 * [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
17.359 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
17.359 * [backup-simplify]: Simplify (+ 0 0) into 0
17.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
17.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
17.359 * [taylor]: Taking taylor expansion of 1/2 in J
17.359 * [backup-simplify]: Simplify 1/2 into 1/2
17.359 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
17.360 * [taylor]: Taking taylor expansion of J in J
17.360 * [backup-simplify]: Simplify 0 into 0
17.360 * [backup-simplify]: Simplify 1 into 1
17.360 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.360 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.360 * [taylor]: Taking taylor expansion of -1/2 in J
17.360 * [backup-simplify]: Simplify -1/2 into -1/2
17.360 * [taylor]: Taking taylor expansion of K in J
17.360 * [backup-simplify]: Simplify K into K
17.360 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.360 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.360 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.360 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.360 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.360 * [backup-simplify]: Simplify (- 0) into 0
17.360 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.360 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
17.360 * [taylor]: Taking taylor expansion of 0 in J
17.360 * [backup-simplify]: Simplify 0 into 0
17.360 * [taylor]: Taking taylor expansion of 0 in K
17.361 * [backup-simplify]: Simplify 0 into 0
17.361 * [backup-simplify]: Simplify 0 into 0
17.361 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
17.361 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
17.361 * [taylor]: Taking taylor expansion of 1/2 in K
17.361 * [backup-simplify]: Simplify 1/2 into 1/2
17.361 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.361 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.361 * [taylor]: Taking taylor expansion of -1/2 in K
17.361 * [backup-simplify]: Simplify -1/2 into -1/2
17.361 * [taylor]: Taking taylor expansion of K in K
17.361 * [backup-simplify]: Simplify 0 into 0
17.361 * [backup-simplify]: Simplify 1 into 1
17.361 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.361 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.361 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
17.361 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
17.362 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
17.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.363 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.363 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.364 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.364 * [backup-simplify]: Simplify (- 0) into 0
17.364 * [backup-simplify]: Simplify (+ 0 0) into 0
17.365 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
17.365 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
17.366 * [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
17.366 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
17.366 * [backup-simplify]: Simplify (+ 1 0) into 1
17.367 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
17.367 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
17.367 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.367 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.367 * [taylor]: Taking taylor expansion of -1/2 in J
17.367 * [backup-simplify]: Simplify -1/2 into -1/2
17.367 * [taylor]: Taking taylor expansion of K in J
17.367 * [backup-simplify]: Simplify K into K
17.367 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.367 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.367 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.367 * [taylor]: Taking taylor expansion of J in J
17.367 * [backup-simplify]: Simplify 0 into 0
17.367 * [backup-simplify]: Simplify 1 into 1
17.367 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.367 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.368 * [backup-simplify]: Simplify (- 0) into 0
17.368 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.368 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.368 * [backup-simplify]: Simplify (+ 0) into 0
17.368 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.368 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.369 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.369 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.369 * [backup-simplify]: Simplify (- 0) into 0
17.370 * [backup-simplify]: Simplify (+ 0 0) into 0
17.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
17.370 * [taylor]: Taking taylor expansion of 0 in K
17.371 * [backup-simplify]: Simplify 0 into 0
17.371 * [backup-simplify]: Simplify 0 into 0
17.371 * [taylor]: Taking taylor expansion of 0 in K
17.371 * [backup-simplify]: Simplify 0 into 0
17.371 * [backup-simplify]: Simplify 0 into 0
17.371 * [backup-simplify]: Simplify (+ 0) into 0
17.371 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.371 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.372 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.372 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.372 * [backup-simplify]: Simplify (- 0) into 0
17.373 * [backup-simplify]: Simplify (+ 0 0) into 0
17.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.373 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
17.373 * [taylor]: Taking taylor expansion of 0 in K
17.373 * [backup-simplify]: Simplify 0 into 0
17.373 * [backup-simplify]: Simplify 0 into 0
17.373 * [backup-simplify]: Simplify 0 into 0
17.373 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.373 * [backup-simplify]: Simplify 0 into 0
17.374 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
17.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.375 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.376 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.376 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.377 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.377 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.377 * [backup-simplify]: Simplify (- 0) into 0
17.377 * [backup-simplify]: Simplify (+ 0 0) into 0
17.378 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
17.379 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.379 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
17.380 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
17.380 * [backup-simplify]: Simplify (+ 0 0) into 0
17.380 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
17.380 * [taylor]: Taking taylor expansion of 0 in J
17.380 * [backup-simplify]: Simplify 0 into 0
17.380 * [taylor]: Taking taylor expansion of 0 in K
17.380 * [backup-simplify]: Simplify 0 into 0
17.380 * [backup-simplify]: Simplify 0 into 0
17.380 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U)))))) into (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
17.380 * * * * [progress]: [ 2 / 4 ] generating series at (2 1)
17.381 * [backup-simplify]: Simplify (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J))
17.381 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in (J U K) around 0
17.381 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in K
17.381 * [taylor]: Taking taylor expansion of -2 in K
17.381 * [backup-simplify]: Simplify -2 into -2
17.381 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in K
17.381 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
17.381 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
17.381 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
17.381 * [taylor]: Taking taylor expansion of 1/4 in K
17.381 * [backup-simplify]: Simplify 1/4 into 1/4
17.381 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
17.381 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.381 * [taylor]: Taking taylor expansion of U in K
17.381 * [backup-simplify]: Simplify U into U
17.381 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
17.381 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
17.381 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.381 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.381 * [taylor]: Taking taylor expansion of 1/2 in K
17.381 * [backup-simplify]: Simplify 1/2 into 1/2
17.381 * [taylor]: Taking taylor expansion of K in K
17.381 * [backup-simplify]: Simplify 0 into 0
17.381 * [backup-simplify]: Simplify 1 into 1
17.382 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.382 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.382 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.382 * [taylor]: Taking taylor expansion of J in K
17.382 * [backup-simplify]: Simplify J into J
17.382 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.383 * [backup-simplify]: Simplify (* 1 1) into 1
17.383 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.383 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
17.383 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
17.383 * [taylor]: Taking taylor expansion of 1 in K
17.383 * [backup-simplify]: Simplify 1 into 1
17.383 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
17.383 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
17.383 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
17.383 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.383 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.383 * [backup-simplify]: Simplify (+ 0) into 0
17.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.384 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
17.384 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
17.385 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
17.385 * [backup-simplify]: Simplify (+ 0 0) into 0
17.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
17.385 * [taylor]: Taking taylor expansion of J in K
17.385 * [backup-simplify]: Simplify J into J
17.385 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in U
17.385 * [taylor]: Taking taylor expansion of -2 in U
17.385 * [backup-simplify]: Simplify -2 into -2
17.385 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in U
17.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
17.385 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
17.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
17.385 * [taylor]: Taking taylor expansion of 1/4 in U
17.385 * [backup-simplify]: Simplify 1/4 into 1/4
17.385 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
17.385 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.385 * [taylor]: Taking taylor expansion of U in U
17.385 * [backup-simplify]: Simplify 0 into 0
17.385 * [backup-simplify]: Simplify 1 into 1
17.385 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
17.385 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
17.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.385 * [taylor]: Taking taylor expansion of 1/2 in U
17.385 * [backup-simplify]: Simplify 1/2 into 1/2
17.385 * [taylor]: Taking taylor expansion of K in U
17.385 * [backup-simplify]: Simplify K into K
17.386 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.386 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.386 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.386 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.386 * [backup-simplify]: Simplify (- 0) into 0
17.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.386 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.386 * [taylor]: Taking taylor expansion of J in U
17.386 * [backup-simplify]: Simplify J into J
17.386 * [backup-simplify]: Simplify (* 1 1) into 1
17.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.386 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.386 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
17.387 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
17.387 * [taylor]: Taking taylor expansion of 1 in U
17.387 * [backup-simplify]: Simplify 1 into 1
17.387 * [backup-simplify]: Simplify (+ 0 1) into 1
17.387 * [backup-simplify]: Simplify (sqrt 1) into 1
17.387 * [backup-simplify]: Simplify (+ 0 0) into 0
17.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.388 * [taylor]: Taking taylor expansion of J in U
17.388 * [backup-simplify]: Simplify J into J
17.388 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in J
17.388 * [taylor]: Taking taylor expansion of -2 in J
17.388 * [backup-simplify]: Simplify -2 into -2
17.388 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in J
17.388 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
17.388 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
17.388 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
17.388 * [taylor]: Taking taylor expansion of 1/4 in J
17.388 * [backup-simplify]: Simplify 1/4 into 1/4
17.388 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.388 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.388 * [taylor]: Taking taylor expansion of U in J
17.388 * [backup-simplify]: Simplify U into U
17.388 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.388 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.388 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.388 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.388 * [taylor]: Taking taylor expansion of 1/2 in J
17.388 * [backup-simplify]: Simplify 1/2 into 1/2
17.388 * [taylor]: Taking taylor expansion of K in J
17.388 * [backup-simplify]: Simplify K into K
17.388 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.388 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.388 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.388 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.388 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.389 * [backup-simplify]: Simplify (- 0) into 0
17.389 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.389 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.389 * [taylor]: Taking taylor expansion of J in J
17.389 * [backup-simplify]: Simplify 0 into 0
17.389 * [backup-simplify]: Simplify 1 into 1
17.389 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.389 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.389 * [backup-simplify]: Simplify (* 1 1) into 1
17.389 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.389 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
17.389 * [taylor]: Taking taylor expansion of 1 in J
17.389 * [backup-simplify]: Simplify 1 into 1
17.390 * [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)))
17.390 * [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)))
17.390 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
17.390 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.391 * [backup-simplify]: Simplify (+ 0) into 0
17.391 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.391 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.392 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.392 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.392 * [backup-simplify]: Simplify (- 0) into 0
17.392 * [backup-simplify]: Simplify (+ 0 0) into 0
17.392 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.393 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.393 * [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
17.393 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
17.394 * [backup-simplify]: Simplify (+ 0 0) into 0
17.394 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.394 * [taylor]: Taking taylor expansion of J in J
17.394 * [backup-simplify]: Simplify 0 into 0
17.394 * [backup-simplify]: Simplify 1 into 1
17.394 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J)) in J
17.394 * [taylor]: Taking taylor expansion of -2 in J
17.394 * [backup-simplify]: Simplify -2 into -2
17.394 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) J) in J
17.394 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
17.394 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
17.394 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
17.394 * [taylor]: Taking taylor expansion of 1/4 in J
17.394 * [backup-simplify]: Simplify 1/4 into 1/4
17.394 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.394 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.394 * [taylor]: Taking taylor expansion of U in J
17.394 * [backup-simplify]: Simplify U into U
17.394 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.394 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.394 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.394 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.394 * [taylor]: Taking taylor expansion of 1/2 in J
17.394 * [backup-simplify]: Simplify 1/2 into 1/2
17.394 * [taylor]: Taking taylor expansion of K in J
17.394 * [backup-simplify]: Simplify K into K
17.394 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.394 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.394 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.394 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.394 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.395 * [backup-simplify]: Simplify (- 0) into 0
17.395 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.395 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.395 * [taylor]: Taking taylor expansion of J in J
17.395 * [backup-simplify]: Simplify 0 into 0
17.395 * [backup-simplify]: Simplify 1 into 1
17.395 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.395 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.395 * [backup-simplify]: Simplify (* 1 1) into 1
17.395 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.395 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
17.395 * [taylor]: Taking taylor expansion of 1 in J
17.395 * [backup-simplify]: Simplify 1 into 1
17.395 * [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)))
17.396 * [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)))
17.396 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
17.396 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.396 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.396 * [backup-simplify]: Simplify (+ 0) into 0
17.397 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.398 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.398 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.398 * [backup-simplify]: Simplify (- 0) into 0
17.398 * [backup-simplify]: Simplify (+ 0 0) into 0
17.398 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.399 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.399 * [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
17.399 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
17.400 * [backup-simplify]: Simplify (+ 0 0) into 0
17.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.400 * [taylor]: Taking taylor expansion of J in J
17.400 * [backup-simplify]: Simplify 0 into 0
17.400 * [backup-simplify]: Simplify 1 into 1
17.400 * [backup-simplify]: Simplify (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) into 0
17.400 * [backup-simplify]: Simplify (* -2 0) into 0
17.400 * [taylor]: Taking taylor expansion of 0 in U
17.400 * [backup-simplify]: Simplify 0 into 0
17.400 * [taylor]: Taking taylor expansion of 0 in K
17.400 * [backup-simplify]: Simplify 0 into 0
17.400 * [backup-simplify]: Simplify 0 into 0
17.401 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 1) (* 0 0)) into (* 1/2 (/ U (cos (* 1/2 K))))
17.401 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)) into (- (/ U (cos (* 1/2 K))))
17.401 * [taylor]: Taking taylor expansion of (- (/ U (cos (* 1/2 K)))) in U
17.401 * [taylor]: Taking taylor expansion of (/ U (cos (* 1/2 K))) in U
17.401 * [taylor]: Taking taylor expansion of U in U
17.401 * [backup-simplify]: Simplify 0 into 0
17.401 * [backup-simplify]: Simplify 1 into 1
17.401 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.401 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.401 * [taylor]: Taking taylor expansion of 1/2 in U
17.401 * [backup-simplify]: Simplify 1/2 into 1/2
17.401 * [taylor]: Taking taylor expansion of K in U
17.401 * [backup-simplify]: Simplify K into K
17.401 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.401 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.401 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.402 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.402 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.402 * [backup-simplify]: Simplify (- 0) into 0
17.402 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.402 * [backup-simplify]: Simplify (/ 1 (cos (* 1/2 K))) into (/ 1 (cos (* 1/2 K)))
17.402 * [taylor]: Taking taylor expansion of 0 in K
17.402 * [backup-simplify]: Simplify 0 into 0
17.402 * [backup-simplify]: Simplify 0 into 0
17.402 * [backup-simplify]: Simplify 0 into 0
17.402 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
17.403 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.403 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.404 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.405 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.405 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.405 * [backup-simplify]: Simplify (- 0) into 0
17.406 * [backup-simplify]: Simplify (+ 0 0) into 0
17.406 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
17.406 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
17.407 * [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
17.407 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
17.408 * [backup-simplify]: Simplify (+ 0 1) into 1
17.408 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
17.409 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 1) (* (/ (cos (* 1/2 K)) U) 0))) into 0
17.409 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0))) into 0
17.409 * [taylor]: Taking taylor expansion of 0 in U
17.409 * [backup-simplify]: Simplify 0 into 0
17.409 * [taylor]: Taking taylor expansion of 0 in K
17.409 * [backup-simplify]: Simplify 0 into 0
17.409 * [backup-simplify]: Simplify 0 into 0
17.409 * [backup-simplify]: Simplify (- (/ 1 (cos (* 1/2 K)))) into (- (/ 1 (cos (* 1/2 K))))
17.409 * [taylor]: Taking taylor expansion of (- (/ 1 (cos (* 1/2 K)))) in K
17.409 * [taylor]: Taking taylor expansion of (/ 1 (cos (* 1/2 K))) in K
17.409 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.409 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.409 * [taylor]: Taking taylor expansion of 1/2 in K
17.409 * [backup-simplify]: Simplify 1/2 into 1/2
17.409 * [taylor]: Taking taylor expansion of K in K
17.409 * [backup-simplify]: Simplify 0 into 0
17.409 * [backup-simplify]: Simplify 1 into 1
17.410 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.410 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.410 * [backup-simplify]: Simplify (/ 1 1) into 1
17.411 * [backup-simplify]: Simplify (- 1) into -1
17.411 * [backup-simplify]: Simplify -1 into -1
17.411 * [taylor]: Taking taylor expansion of 0 in K
17.411 * [backup-simplify]: Simplify 0 into 0
17.411 * [backup-simplify]: Simplify 0 into 0
17.411 * [backup-simplify]: Simplify 0 into 0
17.411 * [backup-simplify]: Simplify 0 into 0
17.412 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
17.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.413 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
17.418 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.419 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.419 * [backup-simplify]: Simplify (- 0) into 0
17.420 * [backup-simplify]: Simplify (+ 0 0) into 0
17.420 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
17.421 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.421 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
17.422 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.422 * [backup-simplify]: Simplify (+ 0 0) into 0
17.422 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
17.423 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ U (cos (* 1/2 K)))) 0) (+ (* 0 0) (+ (* (/ (cos (* 1/2 K)) U) 1) (* 0 0)))) into (/ (cos (* 1/2 K)) U)
17.424 * [backup-simplify]: Simplify (+ (* -2 (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (+ (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) (* 0 0)))) into (- (* 2 (/ (cos (* 1/2 K)) U)))
17.424 * [taylor]: Taking taylor expansion of (- (* 2 (/ (cos (* 1/2 K)) U))) in U
17.424 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (* 1/2 K)) U)) in U
17.424 * [taylor]: Taking taylor expansion of 2 in U
17.424 * [backup-simplify]: Simplify 2 into 2
17.424 * [taylor]: Taking taylor expansion of (/ (cos (* 1/2 K)) U) in U
17.424 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.424 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.424 * [taylor]: Taking taylor expansion of 1/2 in U
17.424 * [backup-simplify]: Simplify 1/2 into 1/2
17.424 * [taylor]: Taking taylor expansion of K in U
17.424 * [backup-simplify]: Simplify K into K
17.424 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.424 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.424 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.424 * [taylor]: Taking taylor expansion of U in U
17.424 * [backup-simplify]: Simplify 0 into 0
17.424 * [backup-simplify]: Simplify 1 into 1
17.424 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.424 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.424 * [backup-simplify]: Simplify (- 0) into 0
17.424 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.424 * [backup-simplify]: Simplify (/ (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.425 * [backup-simplify]: Simplify (+ 0) into 0
17.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.425 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.426 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.426 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.426 * [backup-simplify]: Simplify (- 0) into 0
17.427 * [backup-simplify]: Simplify (+ 0 0) into 0
17.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (* 1/2 K)) (/ 0 1)))) into 0
17.428 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (* 1/2 K)))) into 0
17.428 * [backup-simplify]: Simplify (- 0) into 0
17.428 * [taylor]: Taking taylor expansion of 0 in K
17.428 * [backup-simplify]: Simplify 0 into 0
17.428 * [backup-simplify]: Simplify 0 into 0
17.428 * [taylor]: Taking taylor expansion of 0 in K
17.428 * [backup-simplify]: Simplify 0 into 0
17.428 * [backup-simplify]: Simplify 0 into 0
17.428 * [backup-simplify]: Simplify (+ 0) into 0
17.429 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.429 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.429 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.430 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.430 * [backup-simplify]: Simplify (- 0) into 0
17.430 * [backup-simplify]: Simplify (+ 0 0) into 0
17.430 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
17.430 * [backup-simplify]: Simplify (- 0) into 0
17.430 * [taylor]: Taking taylor expansion of 0 in K
17.430 * [backup-simplify]: Simplify 0 into 0
17.431 * [backup-simplify]: Simplify 0 into 0
17.431 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
17.431 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (sqrt (+ 1 (* (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (/ 1 J))) (/ (/ 1 2) (cos (/ (/ 1 K) 2))))))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)))
17.431 * [approximate]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in (J U K) around 0
17.431 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in K
17.431 * [taylor]: Taking taylor expansion of -2 in K
17.431 * [backup-simplify]: Simplify -2 into -2
17.431 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in K
17.431 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
17.431 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
17.431 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
17.431 * [taylor]: Taking taylor expansion of 1/4 in K
17.431 * [backup-simplify]: Simplify 1/4 into 1/4
17.431 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
17.431 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.431 * [taylor]: Taking taylor expansion of J in K
17.432 * [backup-simplify]: Simplify J into J
17.432 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
17.432 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.432 * [taylor]: Taking taylor expansion of U in K
17.432 * [backup-simplify]: Simplify U into U
17.432 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
17.432 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.432 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.432 * [taylor]: Taking taylor expansion of 1/2 in K
17.432 * [backup-simplify]: Simplify 1/2 into 1/2
17.432 * [taylor]: Taking taylor expansion of K in K
17.432 * [backup-simplify]: Simplify 0 into 0
17.432 * [backup-simplify]: Simplify 1 into 1
17.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.432 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.432 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.432 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.432 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.432 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.432 * [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)))
17.432 * [taylor]: Taking taylor expansion of 1 in K
17.432 * [backup-simplify]: Simplify 1 into 1
17.433 * [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))))
17.433 * [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)
17.433 * [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))
17.433 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.433 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.433 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.433 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.434 * [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
17.434 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.434 * [backup-simplify]: Simplify (+ 0 0) into 0
17.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
17.435 * [taylor]: Taking taylor expansion of (/ 1 J) in K
17.435 * [taylor]: Taking taylor expansion of J in K
17.435 * [backup-simplify]: Simplify J into J
17.435 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
17.435 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in U
17.435 * [taylor]: Taking taylor expansion of -2 in U
17.435 * [backup-simplify]: Simplify -2 into -2
17.435 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in U
17.435 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
17.435 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
17.435 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
17.435 * [taylor]: Taking taylor expansion of 1/4 in U
17.435 * [backup-simplify]: Simplify 1/4 into 1/4
17.435 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
17.435 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.435 * [taylor]: Taking taylor expansion of J in U
17.435 * [backup-simplify]: Simplify J into J
17.435 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
17.435 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.435 * [taylor]: Taking taylor expansion of U in U
17.435 * [backup-simplify]: Simplify 0 into 0
17.435 * [backup-simplify]: Simplify 1 into 1
17.435 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
17.435 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.435 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.435 * [taylor]: Taking taylor expansion of 1/2 in U
17.435 * [backup-simplify]: Simplify 1/2 into 1/2
17.435 * [taylor]: Taking taylor expansion of K in U
17.435 * [backup-simplify]: Simplify K into K
17.435 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.435 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.435 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.435 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.435 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.436 * [backup-simplify]: Simplify (- 0) into 0
17.436 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.436 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.436 * [backup-simplify]: Simplify (* 1 1) into 1
17.436 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.436 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
17.436 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
17.436 * [taylor]: Taking taylor expansion of 1 in U
17.436 * [backup-simplify]: Simplify 1 into 1
17.436 * [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)))
17.437 * [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)))
17.437 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
17.437 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.437 * [backup-simplify]: Simplify (+ 0) into 0
17.437 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.438 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.438 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.439 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.439 * [backup-simplify]: Simplify (- 0) into 0
17.439 * [backup-simplify]: Simplify (+ 0 0) into 0
17.439 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.440 * [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
17.441 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
17.441 * [backup-simplify]: Simplify (+ 0 0) into 0
17.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
17.441 * [taylor]: Taking taylor expansion of (/ 1 J) in U
17.441 * [taylor]: Taking taylor expansion of J in U
17.441 * [backup-simplify]: Simplify J into J
17.441 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
17.441 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in J
17.441 * [taylor]: Taking taylor expansion of -2 in J
17.441 * [backup-simplify]: Simplify -2 into -2
17.441 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in J
17.441 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
17.441 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
17.441 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
17.441 * [taylor]: Taking taylor expansion of 1/4 in J
17.441 * [backup-simplify]: Simplify 1/4 into 1/4
17.441 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
17.441 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.441 * [taylor]: Taking taylor expansion of J in J
17.441 * [backup-simplify]: Simplify 0 into 0
17.441 * [backup-simplify]: Simplify 1 into 1
17.441 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
17.441 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.441 * [taylor]: Taking taylor expansion of U in J
17.441 * [backup-simplify]: Simplify U into U
17.441 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
17.441 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.441 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.441 * [taylor]: Taking taylor expansion of 1/2 in J
17.442 * [backup-simplify]: Simplify 1/2 into 1/2
17.442 * [taylor]: Taking taylor expansion of K in J
17.442 * [backup-simplify]: Simplify K into K
17.442 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.442 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.442 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.442 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.442 * [backup-simplify]: Simplify (- 0) into 0
17.442 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.442 * [backup-simplify]: Simplify (* 1 1) into 1
17.442 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.442 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.443 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.443 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
17.443 * [taylor]: Taking taylor expansion of 1 in J
17.443 * [backup-simplify]: Simplify 1 into 1
17.443 * [backup-simplify]: Simplify (+ 0 1) into 1
17.443 * [backup-simplify]: Simplify (sqrt 1) into 1
17.443 * [backup-simplify]: Simplify (+ 0 0) into 0
17.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.444 * [taylor]: Taking taylor expansion of (/ 1 J) in J
17.444 * [taylor]: Taking taylor expansion of J in J
17.444 * [backup-simplify]: Simplify 0 into 0
17.444 * [backup-simplify]: Simplify 1 into 1
17.444 * [backup-simplify]: Simplify (/ 1 1) into 1
17.444 * [taylor]: Taking taylor expansion of (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J))) in J
17.444 * [taylor]: Taking taylor expansion of -2 in J
17.444 * [backup-simplify]: Simplify -2 into -2
17.444 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ 1 J)) in J
17.444 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
17.444 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
17.444 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
17.444 * [taylor]: Taking taylor expansion of 1/4 in J
17.444 * [backup-simplify]: Simplify 1/4 into 1/4
17.444 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
17.444 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.444 * [taylor]: Taking taylor expansion of J in J
17.444 * [backup-simplify]: Simplify 0 into 0
17.444 * [backup-simplify]: Simplify 1 into 1
17.444 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
17.444 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.444 * [taylor]: Taking taylor expansion of U in J
17.444 * [backup-simplify]: Simplify U into U
17.445 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
17.445 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.445 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.445 * [taylor]: Taking taylor expansion of 1/2 in J
17.445 * [backup-simplify]: Simplify 1/2 into 1/2
17.445 * [taylor]: Taking taylor expansion of K in J
17.445 * [backup-simplify]: Simplify K into K
17.445 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.445 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.445 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.445 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.445 * [backup-simplify]: Simplify (- 0) into 0
17.445 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.445 * [backup-simplify]: Simplify (* 1 1) into 1
17.445 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.445 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.446 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.446 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
17.446 * [taylor]: Taking taylor expansion of 1 in J
17.446 * [backup-simplify]: Simplify 1 into 1
17.446 * [backup-simplify]: Simplify (+ 0 1) into 1
17.446 * [backup-simplify]: Simplify (sqrt 1) into 1
17.446 * [backup-simplify]: Simplify (+ 0 0) into 0
17.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.447 * [taylor]: Taking taylor expansion of (/ 1 J) in J
17.447 * [taylor]: Taking taylor expansion of J in J
17.447 * [backup-simplify]: Simplify 0 into 0
17.447 * [backup-simplify]: Simplify 1 into 1
17.447 * [backup-simplify]: Simplify (/ 1 1) into 1
17.448 * [backup-simplify]: Simplify (* 1 1) into 1
17.448 * [backup-simplify]: Simplify (* -2 1) into -2
17.448 * [taylor]: Taking taylor expansion of -2 in U
17.448 * [backup-simplify]: Simplify -2 into -2
17.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.449 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 1)) into 0
17.449 * [taylor]: Taking taylor expansion of 0 in U
17.449 * [backup-simplify]: Simplify 0 into 0
17.449 * [taylor]: Taking taylor expansion of -2 in K
17.449 * [backup-simplify]: Simplify -2 into -2
17.449 * [backup-simplify]: Simplify -2 into -2
17.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.450 * [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)))
17.450 * [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))))
17.451 * [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)))
17.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 1))) into (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))
17.452 * [backup-simplify]: Simplify (+ (* -2 (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) (+ (* 0 0) (* 0 1))) into (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))))
17.452 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) in U
17.452 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
17.452 * [taylor]: Taking taylor expansion of 1/4 in U
17.452 * [backup-simplify]: Simplify 1/4 into 1/4
17.452 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
17.453 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
17.453 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.453 * [taylor]: Taking taylor expansion of U in U
17.453 * [backup-simplify]: Simplify 0 into 0
17.453 * [backup-simplify]: Simplify 1 into 1
17.453 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
17.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.453 * [taylor]: Taking taylor expansion of 1/2 in U
17.453 * [backup-simplify]: Simplify 1/2 into 1/2
17.453 * [taylor]: Taking taylor expansion of K in U
17.453 * [backup-simplify]: Simplify K into K
17.453 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.453 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.453 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.453 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.453 * [backup-simplify]: Simplify (- 0) into 0
17.453 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.453 * [backup-simplify]: Simplify (* 1 1) into 1
17.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.454 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
17.454 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
17.454 * [backup-simplify]: Simplify (+ 0) into 0
17.454 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.454 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.455 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.455 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.455 * [backup-simplify]: Simplify (- 0) into 0
17.456 * [backup-simplify]: Simplify (+ 0 0) into 0
17.456 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
17.457 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
17.457 * [backup-simplify]: Simplify (- 0) into 0
17.457 * [taylor]: Taking taylor expansion of 0 in K
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [taylor]: Taking taylor expansion of 0 in K
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [taylor]: Taking taylor expansion of 0 in K
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [backup-simplify]: Simplify 0 into 0
17.457 * [backup-simplify]: Simplify 0 into 0
17.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.459 * [backup-simplify]: Simplify (+ 0) into 0
17.459 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.459 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.459 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.460 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.460 * [backup-simplify]: Simplify (- 0) into 0
17.460 * [backup-simplify]: Simplify (+ 0 0) into 0
17.460 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.460 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.460 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.461 * [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
17.461 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.462 * [backup-simplify]: Simplify (+ 0 0) into 0
17.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
17.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) 0) (* 0 1)))) into 0
17.464 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) (+ (* 0 0) (* 0 1)))) into 0
17.464 * [taylor]: Taking taylor expansion of 0 in U
17.464 * [backup-simplify]: Simplify 0 into 0
17.464 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.465 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.465 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.465 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.466 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.466 * [backup-simplify]: Simplify (- 0) into 0
17.466 * [backup-simplify]: Simplify (+ 0 0) into 0
17.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
17.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
17.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
17.468 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
17.469 * [backup-simplify]: Simplify (- 0) into 0
17.469 * [taylor]: Taking taylor expansion of 0 in K
17.469 * [backup-simplify]: Simplify 0 into 0
17.469 * [backup-simplify]: Simplify 0 into 0
17.469 * [taylor]: Taking taylor expansion of 0 in K
17.469 * [backup-simplify]: Simplify 0 into 0
17.469 * [backup-simplify]: Simplify 0 into 0
17.469 * [backup-simplify]: Simplify (* -2 (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 J)
17.470 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (sqrt (+ 1 (* (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (/ 1 (- J)))) (/ (/ 1 2) (cos (/ (/ 1 (- K)) 2))))))) into (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
17.470 * [approximate]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in (J U K) around 0
17.470 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in K
17.470 * [taylor]: Taking taylor expansion of 2 in K
17.470 * [backup-simplify]: Simplify 2 into 2
17.470 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in K
17.470 * [taylor]: Taking taylor expansion of (/ 1 J) in K
17.470 * [taylor]: Taking taylor expansion of J in K
17.470 * [backup-simplify]: Simplify J into J
17.470 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
17.470 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
17.470 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
17.470 * [taylor]: Taking taylor expansion of 1 in K
17.470 * [backup-simplify]: Simplify 1 into 1
17.470 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
17.470 * [taylor]: Taking taylor expansion of 1/4 in K
17.470 * [backup-simplify]: Simplify 1/4 into 1/4
17.470 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
17.470 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.470 * [taylor]: Taking taylor expansion of J in K
17.470 * [backup-simplify]: Simplify J into J
17.470 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
17.470 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
17.470 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.470 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.470 * [taylor]: Taking taylor expansion of -1/2 in K
17.470 * [backup-simplify]: Simplify -1/2 into -1/2
17.470 * [taylor]: Taking taylor expansion of K in K
17.470 * [backup-simplify]: Simplify 0 into 0
17.470 * [backup-simplify]: Simplify 1 into 1
17.470 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.470 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.471 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.471 * [taylor]: Taking taylor expansion of U in K
17.471 * [backup-simplify]: Simplify U into U
17.471 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.471 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.471 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.471 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.471 * [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)))
17.471 * [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))))
17.471 * [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)))))
17.472 * [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))))))
17.472 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.472 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.472 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.472 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
17.472 * [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
17.473 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
17.473 * [backup-simplify]: Simplify (+ 0 0) into 0
17.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
17.473 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
17.473 * [taylor]: Taking taylor expansion of 2 in U
17.473 * [backup-simplify]: Simplify 2 into 2
17.473 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
17.473 * [taylor]: Taking taylor expansion of (/ 1 J) in U
17.473 * [taylor]: Taking taylor expansion of J in U
17.473 * [backup-simplify]: Simplify J into J
17.473 * [backup-simplify]: Simplify (/ 1 J) into (/ 1 J)
17.473 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
17.473 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
17.473 * [taylor]: Taking taylor expansion of 1 in U
17.473 * [backup-simplify]: Simplify 1 into 1
17.473 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
17.473 * [taylor]: Taking taylor expansion of 1/4 in U
17.473 * [backup-simplify]: Simplify 1/4 into 1/4
17.473 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
17.473 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.473 * [taylor]: Taking taylor expansion of J in U
17.473 * [backup-simplify]: Simplify J into J
17.473 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
17.473 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
17.474 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.474 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.474 * [taylor]: Taking taylor expansion of -1/2 in U
17.474 * [backup-simplify]: Simplify -1/2 into -1/2
17.474 * [taylor]: Taking taylor expansion of K in U
17.474 * [backup-simplify]: Simplify K into K
17.474 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.474 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.474 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.474 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.474 * [backup-simplify]: Simplify (- 0) into 0
17.474 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.474 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.474 * [taylor]: Taking taylor expansion of U in U
17.474 * [backup-simplify]: Simplify 0 into 0
17.474 * [backup-simplify]: Simplify 1 into 1
17.474 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.474 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.475 * [backup-simplify]: Simplify (* 1 1) into 1
17.475 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
17.475 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
17.475 * [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)))
17.475 * [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)))
17.475 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
17.475 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.476 * [backup-simplify]: Simplify (+ 0) into 0
17.476 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.476 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.477 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.477 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.477 * [backup-simplify]: Simplify (- 0) into 0
17.478 * [backup-simplify]: Simplify (+ 0 0) into 0
17.478 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.478 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
17.478 * [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
17.479 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
17.479 * [backup-simplify]: Simplify (+ 0 0) into 0
17.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
17.479 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
17.479 * [taylor]: Taking taylor expansion of 2 in J
17.479 * [backup-simplify]: Simplify 2 into 2
17.479 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
17.479 * [taylor]: Taking taylor expansion of (/ 1 J) in J
17.479 * [taylor]: Taking taylor expansion of J in J
17.479 * [backup-simplify]: Simplify 0 into 0
17.479 * [backup-simplify]: Simplify 1 into 1
17.479 * [backup-simplify]: Simplify (/ 1 1) into 1
17.479 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
17.479 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
17.479 * [taylor]: Taking taylor expansion of 1 in J
17.479 * [backup-simplify]: Simplify 1 into 1
17.479 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
17.480 * [taylor]: Taking taylor expansion of 1/4 in J
17.480 * [backup-simplify]: Simplify 1/4 into 1/4
17.480 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
17.480 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.480 * [taylor]: Taking taylor expansion of J in J
17.480 * [backup-simplify]: Simplify 0 into 0
17.480 * [backup-simplify]: Simplify 1 into 1
17.480 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
17.480 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
17.480 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.480 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.480 * [taylor]: Taking taylor expansion of -1/2 in J
17.480 * [backup-simplify]: Simplify -1/2 into -1/2
17.480 * [taylor]: Taking taylor expansion of K in J
17.480 * [backup-simplify]: Simplify K into K
17.480 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.480 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.480 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.480 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.480 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.480 * [backup-simplify]: Simplify (- 0) into 0
17.480 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.480 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.480 * [taylor]: Taking taylor expansion of U in J
17.480 * [backup-simplify]: Simplify U into U
17.481 * [backup-simplify]: Simplify (* 1 1) into 1
17.481 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.481 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.481 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.481 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
17.481 * [backup-simplify]: Simplify (+ 1 0) into 1
17.482 * [backup-simplify]: Simplify (sqrt 1) into 1
17.483 * [backup-simplify]: Simplify (+ 0 0) into 0
17.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.483 * [taylor]: Taking taylor expansion of (* 2 (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in J
17.483 * [taylor]: Taking taylor expansion of 2 in J
17.483 * [backup-simplify]: Simplify 2 into 2
17.483 * [taylor]: Taking taylor expansion of (* (/ 1 J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in J
17.483 * [taylor]: Taking taylor expansion of (/ 1 J) in J
17.483 * [taylor]: Taking taylor expansion of J in J
17.483 * [backup-simplify]: Simplify 0 into 0
17.483 * [backup-simplify]: Simplify 1 into 1
17.483 * [backup-simplify]: Simplify (/ 1 1) into 1
17.484 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
17.484 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
17.484 * [taylor]: Taking taylor expansion of 1 in J
17.484 * [backup-simplify]: Simplify 1 into 1
17.484 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
17.484 * [taylor]: Taking taylor expansion of 1/4 in J
17.484 * [backup-simplify]: Simplify 1/4 into 1/4
17.484 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
17.484 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.484 * [taylor]: Taking taylor expansion of J in J
17.484 * [backup-simplify]: Simplify 0 into 0
17.484 * [backup-simplify]: Simplify 1 into 1
17.484 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
17.484 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
17.484 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.484 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.484 * [taylor]: Taking taylor expansion of -1/2 in J
17.484 * [backup-simplify]: Simplify -1/2 into -1/2
17.484 * [taylor]: Taking taylor expansion of K in J
17.484 * [backup-simplify]: Simplify K into K
17.484 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.484 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.484 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.484 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.484 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.484 * [backup-simplify]: Simplify (- 0) into 0
17.484 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.484 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.484 * [taylor]: Taking taylor expansion of U in J
17.484 * [backup-simplify]: Simplify U into U
17.485 * [backup-simplify]: Simplify (* 1 1) into 1
17.485 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.485 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.485 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.485 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
17.486 * [backup-simplify]: Simplify (+ 1 0) into 1
17.486 * [backup-simplify]: Simplify (sqrt 1) into 1
17.487 * [backup-simplify]: Simplify (+ 0 0) into 0
17.487 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.488 * [backup-simplify]: Simplify (* 1 1) into 1
17.488 * [backup-simplify]: Simplify (* 2 1) into 2
17.488 * [taylor]: Taking taylor expansion of 2 in U
17.488 * [backup-simplify]: Simplify 2 into 2
17.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
17.490 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.491 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
17.491 * [taylor]: Taking taylor expansion of 0 in U
17.491 * [backup-simplify]: Simplify 0 into 0
17.491 * [taylor]: Taking taylor expansion of 2 in K
17.491 * [backup-simplify]: Simplify 2 into 2
17.491 * [backup-simplify]: Simplify 2 into 2
17.491 * [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)))
17.491 * [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))))
17.493 * [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)))
17.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.495 * [backup-simplify]: Simplify (+ (* 1 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1))) into (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
17.496 * [backup-simplify]: Simplify (+ (* 2 (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1))) into (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
17.496 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
17.496 * [taylor]: Taking taylor expansion of 1/4 in U
17.496 * [backup-simplify]: Simplify 1/4 into 1/4
17.496 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
17.496 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
17.496 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
17.496 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.496 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.496 * [taylor]: Taking taylor expansion of -1/2 in U
17.496 * [backup-simplify]: Simplify -1/2 into -1/2
17.496 * [taylor]: Taking taylor expansion of K in U
17.496 * [backup-simplify]: Simplify K into K
17.496 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.496 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.496 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.496 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.497 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.497 * [backup-simplify]: Simplify (- 0) into 0
17.497 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.497 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.497 * [taylor]: Taking taylor expansion of U in U
17.497 * [backup-simplify]: Simplify 0 into 0
17.497 * [backup-simplify]: Simplify 1 into 1
17.497 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.498 * [backup-simplify]: Simplify (* 1 1) into 1
17.498 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
17.498 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
17.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.499 * [backup-simplify]: Simplify (+ 0) into 0
17.500 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.500 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.501 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.501 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.501 * [backup-simplify]: Simplify (- 0) into 0
17.502 * [backup-simplify]: Simplify (+ 0 0) into 0
17.502 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.503 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
17.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
17.503 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
17.504 * [taylor]: Taking taylor expansion of 0 in K
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [taylor]: Taking taylor expansion of 0 in K
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [taylor]: Taking taylor expansion of 0 in K
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.504 * [backup-simplify]: Simplify 0 into 0
17.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.505 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.505 * [backup-simplify]: Simplify (+ 0) into 0
17.506 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.506 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.507 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.507 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.508 * [backup-simplify]: Simplify (- 0) into 0
17.508 * [backup-simplify]: Simplify (+ 0 0) into 0
17.508 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.508 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
17.509 * [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
17.510 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
17.510 * [backup-simplify]: Simplify (+ 0 0) into 0
17.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
17.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) (+ (* 0 0) (* 0 1)))) into 0
17.515 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (* 1/8 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) (+ (* 0 0) (* 0 1)))) into 0
17.515 * [taylor]: Taking taylor expansion of 0 in U
17.515 * [backup-simplify]: Simplify 0 into 0
17.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.517 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.518 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.518 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.519 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.520 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.520 * [backup-simplify]: Simplify (- 0) into 0
17.521 * [backup-simplify]: Simplify (+ 0 0) into 0
17.521 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
17.522 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
17.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
17.523 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
17.523 * [taylor]: Taking taylor expansion of 0 in K
17.523 * [backup-simplify]: Simplify 0 into 0
17.524 * [backup-simplify]: Simplify 0 into 0
17.524 * [taylor]: Taking taylor expansion of 0 in K
17.524 * [backup-simplify]: Simplify 0 into 0
17.524 * [backup-simplify]: Simplify 0 into 0
17.524 * [backup-simplify]: Simplify (* 2 (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 J)
17.524 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1 2 1)
17.524 * [backup-simplify]: Simplify (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) into (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))))
17.524 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) in (U J K) around 0
17.524 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) in K
17.524 * [taylor]: Taking taylor expansion of 1/2 in K
17.524 * [backup-simplify]: Simplify 1/2 into 1/2
17.524 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))) in K
17.524 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.524 * [taylor]: Taking taylor expansion of U in K
17.524 * [backup-simplify]: Simplify U into U
17.524 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in K
17.524 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.525 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.525 * [taylor]: Taking taylor expansion of 1/2 in K
17.525 * [backup-simplify]: Simplify 1/2 into 1/2
17.525 * [taylor]: Taking taylor expansion of K in K
17.525 * [backup-simplify]: Simplify 0 into 0
17.525 * [backup-simplify]: Simplify 1 into 1
17.525 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.526 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.526 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.526 * [taylor]: Taking taylor expansion of J in K
17.526 * [backup-simplify]: Simplify J into J
17.526 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.526 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.526 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
17.526 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
17.526 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) in J
17.526 * [taylor]: Taking taylor expansion of 1/2 in J
17.526 * [backup-simplify]: Simplify 1/2 into 1/2
17.526 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))) in J
17.527 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.527 * [taylor]: Taking taylor expansion of U in J
17.527 * [backup-simplify]: Simplify U into U
17.527 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J
17.527 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.527 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.527 * [taylor]: Taking taylor expansion of 1/2 in J
17.527 * [backup-simplify]: Simplify 1/2 into 1/2
17.527 * [taylor]: Taking taylor expansion of K in J
17.527 * [backup-simplify]: Simplify K into K
17.527 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.527 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.527 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.527 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.527 * [taylor]: Taking taylor expansion of J in J
17.527 * [backup-simplify]: Simplify 0 into 0
17.527 * [backup-simplify]: Simplify 1 into 1
17.527 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.527 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.527 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.528 * [backup-simplify]: Simplify (- 0) into 0
17.528 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.528 * [backup-simplify]: Simplify (* 1 1) into 1
17.528 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.528 * [backup-simplify]: Simplify (/ (pow U 2) (cos (* 1/2 K))) into (/ (pow U 2) (cos (* 1/2 K)))
17.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) in U
17.529 * [taylor]: Taking taylor expansion of 1/2 in U
17.529 * [backup-simplify]: Simplify 1/2 into 1/2
17.529 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))) in U
17.529 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.529 * [taylor]: Taking taylor expansion of U in U
17.529 * [backup-simplify]: Simplify 0 into 0
17.529 * [backup-simplify]: Simplify 1 into 1
17.529 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in U
17.529 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.529 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.529 * [taylor]: Taking taylor expansion of 1/2 in U
17.529 * [backup-simplify]: Simplify 1/2 into 1/2
17.529 * [taylor]: Taking taylor expansion of K in U
17.529 * [backup-simplify]: Simplify K into K
17.529 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.529 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.529 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.529 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.529 * [taylor]: Taking taylor expansion of J in U
17.529 * [backup-simplify]: Simplify J into J
17.530 * [backup-simplify]: Simplify (* 1 1) into 1
17.530 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.530 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.530 * [backup-simplify]: Simplify (- 0) into 0
17.530 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.530 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.530 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow J 2)) into (* (cos (* 1/2 K)) (pow J 2))
17.531 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) (pow J 2))) into (/ 1 (* (cos (* 1/2 K)) (pow J 2)))
17.531 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) in U
17.531 * [taylor]: Taking taylor expansion of 1/2 in U
17.531 * [backup-simplify]: Simplify 1/2 into 1/2
17.531 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))) in U
17.531 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.531 * [taylor]: Taking taylor expansion of U in U
17.531 * [backup-simplify]: Simplify 0 into 0
17.531 * [backup-simplify]: Simplify 1 into 1
17.531 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in U
17.531 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.531 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.531 * [taylor]: Taking taylor expansion of 1/2 in U
17.531 * [backup-simplify]: Simplify 1/2 into 1/2
17.531 * [taylor]: Taking taylor expansion of K in U
17.531 * [backup-simplify]: Simplify K into K
17.531 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.531 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.531 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.531 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.531 * [taylor]: Taking taylor expansion of J in U
17.531 * [backup-simplify]: Simplify J into J
17.536 * [backup-simplify]: Simplify (* 1 1) into 1
17.537 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.537 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.537 * [backup-simplify]: Simplify (- 0) into 0
17.538 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.538 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.538 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (pow J 2)) into (* (cos (* 1/2 K)) (pow J 2))
17.538 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) (pow J 2))) into (/ 1 (* (cos (* 1/2 K)) (pow J 2)))
17.538 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))) into (/ 1/2 (* (cos (* 1/2 K)) (pow J 2)))
17.538 * [taylor]: Taking taylor expansion of (/ 1/2 (* (cos (* 1/2 K)) (pow J 2))) in J
17.538 * [taylor]: Taking taylor expansion of 1/2 in J
17.538 * [backup-simplify]: Simplify 1/2 into 1/2
17.538 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) (pow J 2)) in J
17.538 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.538 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.538 * [taylor]: Taking taylor expansion of 1/2 in J
17.538 * [backup-simplify]: Simplify 1/2 into 1/2
17.538 * [taylor]: Taking taylor expansion of K in J
17.538 * [backup-simplify]: Simplify K into K
17.538 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.539 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.539 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.539 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.539 * [taylor]: Taking taylor expansion of J in J
17.539 * [backup-simplify]: Simplify 0 into 0
17.539 * [backup-simplify]: Simplify 1 into 1
17.539 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.539 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.539 * [backup-simplify]: Simplify (- 0) into 0
17.539 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.540 * [backup-simplify]: Simplify (* 1 1) into 1
17.540 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.540 * [backup-simplify]: Simplify (/ 1/2 (cos (* 1/2 K))) into (/ 1/2 (cos (* 1/2 K)))
17.540 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (* 1/2 K))) in K
17.540 * [taylor]: Taking taylor expansion of 1/2 in K
17.540 * [backup-simplify]: Simplify 1/2 into 1/2
17.540 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.540 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.540 * [taylor]: Taking taylor expansion of 1/2 in K
17.540 * [backup-simplify]: Simplify 1/2 into 1/2
17.540 * [taylor]: Taking taylor expansion of K in K
17.540 * [backup-simplify]: Simplify 0 into 0
17.540 * [backup-simplify]: Simplify 1 into 1
17.541 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.541 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.542 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.542 * [backup-simplify]: Simplify 1/2 into 1/2
17.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.543 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.543 * [backup-simplify]: Simplify (+ 0) into 0
17.543 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.544 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.545 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.545 * [backup-simplify]: Simplify (- 0) into 0
17.546 * [backup-simplify]: Simplify (+ 0 0) into 0
17.546 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (pow J 2))) into 0
17.546 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) (pow J 2))) (+ (* (/ 1 (* (cos (* 1/2 K)) (pow J 2))) (/ 0 (* (cos (* 1/2 K)) (pow J 2)))))) into 0
17.547 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))) into 0
17.547 * [taylor]: Taking taylor expansion of 0 in J
17.547 * [backup-simplify]: Simplify 0 into 0
17.547 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.548 * [backup-simplify]: Simplify (+ 0) into 0
17.548 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.549 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.549 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.550 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.550 * [backup-simplify]: Simplify (- 0) into 0
17.550 * [backup-simplify]: Simplify (+ 0 0) into 0
17.551 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.551 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))))) into 0
17.551 * [taylor]: Taking taylor expansion of 0 in K
17.551 * [backup-simplify]: Simplify 0 into 0
17.551 * [backup-simplify]: Simplify 0 into 0
17.552 * [backup-simplify]: Simplify (+ 0) into 0
17.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
17.552 * [backup-simplify]: Simplify 0 into 0
17.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.554 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
17.554 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.555 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.557 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.557 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.557 * [backup-simplify]: Simplify (- 0) into 0
17.558 * [backup-simplify]: Simplify (+ 0 0) into 0
17.558 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
17.559 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) (pow J 2))) (+ (* (/ 1 (* (cos (* 1/2 K)) (pow J 2))) (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))))) into 0
17.561 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))))) into 0
17.561 * [taylor]: Taking taylor expansion of 0 in J
17.561 * [backup-simplify]: Simplify 0 into 0
17.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.563 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.564 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.565 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.565 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.566 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.566 * [backup-simplify]: Simplify (- 0) into 0
17.567 * [backup-simplify]: Simplify (+ 0 0) into 0
17.568 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.568 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
17.568 * [taylor]: Taking taylor expansion of 0 in K
17.568 * [backup-simplify]: Simplify 0 into 0
17.568 * [backup-simplify]: Simplify 0 into 0
17.568 * [backup-simplify]: Simplify 0 into 0
17.569 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
17.570 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ -1/8 1)) (* 0 (/ 0 1)))) into 1/16
17.570 * [backup-simplify]: Simplify 1/16 into 1/16
17.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.573 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
17.574 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.575 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.576 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
17.577 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.578 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.578 * [backup-simplify]: Simplify (- 0) into 0
17.579 * [backup-simplify]: Simplify (+ 0 0) into 0
17.579 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
17.580 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) (pow J 2))) (+ (* (/ 1 (* (cos (* 1/2 K)) (pow J 2))) (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))))) into 0
17.582 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) (pow J 2))))))) into 0
17.582 * [taylor]: Taking taylor expansion of 0 in J
17.582 * [backup-simplify]: Simplify 0 into 0
17.582 * [taylor]: Taking taylor expansion of 0 in K
17.582 * [backup-simplify]: Simplify 0 into 0
17.582 * [backup-simplify]: Simplify 0 into 0
17.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.584 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.585 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
17.588 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.589 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.590 * [backup-simplify]: Simplify (- 0) into 0
17.590 * [backup-simplify]: Simplify (+ 0 0) into 0
17.591 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.591 * [backup-simplify]: Simplify (- (/ 0 (cos (* 1/2 K))) (+ (* (/ 1/2 (cos (* 1/2 K))) (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))) (* 0 (/ 0 (cos (* 1/2 K)))))) into 0
17.591 * [taylor]: Taking taylor expansion of 0 in K
17.591 * [backup-simplify]: Simplify 0 into 0
17.591 * [backup-simplify]: Simplify 0 into 0
17.592 * [backup-simplify]: Simplify 0 into 0
17.592 * [backup-simplify]: Simplify 0 into 0
17.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
17.594 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.595 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ -1/8 1)) (* 1/16 (/ 0 1)))) into 0
17.595 * [backup-simplify]: Simplify 0 into 0
17.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
17.597 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
17.599 * [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
17.600 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
17.602 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
17.603 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
17.604 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
17.604 * [backup-simplify]: Simplify (- 0) into 0
17.604 * [backup-simplify]: Simplify (+ 0 0) into 0
17.605 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
17.606 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) (pow J 2))) (+ (* (/ 1 (* (cos (* 1/2 K)) (pow J 2))) (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))) (* 0 (/ 0 (* (cos (* 1/2 K)) (pow J 2)))))) into 0
17.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) (pow J 2)))))))) into 0
17.608 * [taylor]: Taking taylor expansion of 0 in J
17.608 * [backup-simplify]: Simplify 0 into 0
17.608 * [taylor]: Taking taylor expansion of 0 in K
17.608 * [backup-simplify]: Simplify 0 into 0
17.608 * [backup-simplify]: Simplify 0 into 0
17.608 * [backup-simplify]: Simplify (+ (* 1/16 (pow (* K (* (/ 1 J) U)) 2)) (* 1/2 (pow (* 1 (* (/ 1 J) U)) 2))) into (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/2 (/ (pow U 2) (pow J 2))))
17.609 * [backup-simplify]: Simplify (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (/ 1 J))) into (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))))
17.609 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))) in (U J K) around 0
17.609 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))) in K
17.609 * [taylor]: Taking taylor expansion of 1/2 in K
17.609 * [backup-simplify]: Simplify 1/2 into 1/2
17.609 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))) in K
17.609 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.609 * [taylor]: Taking taylor expansion of J in K
17.609 * [backup-simplify]: Simplify J into J
17.609 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
17.609 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.609 * [taylor]: Taking taylor expansion of U in K
17.609 * [backup-simplify]: Simplify U into U
17.609 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.609 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.609 * [taylor]: Taking taylor expansion of 1/2 in K
17.609 * [backup-simplify]: Simplify 1/2 into 1/2
17.609 * [taylor]: Taking taylor expansion of K in K
17.609 * [backup-simplify]: Simplify 0 into 0
17.609 * [backup-simplify]: Simplify 1 into 1
17.610 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.610 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.610 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.610 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.610 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
17.610 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))) into (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))
17.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))) in J
17.610 * [taylor]: Taking taylor expansion of 1/2 in J
17.610 * [backup-simplify]: Simplify 1/2 into 1/2
17.610 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))) in J
17.610 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.610 * [taylor]: Taking taylor expansion of J in J
17.610 * [backup-simplify]: Simplify 0 into 0
17.610 * [backup-simplify]: Simplify 1 into 1
17.611 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in J
17.611 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.611 * [taylor]: Taking taylor expansion of U in J
17.611 * [backup-simplify]: Simplify U into U
17.611 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.611 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.611 * [taylor]: Taking taylor expansion of 1/2 in J
17.611 * [backup-simplify]: Simplify 1/2 into 1/2
17.611 * [taylor]: Taking taylor expansion of K in J
17.611 * [backup-simplify]: Simplify K into K
17.611 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.611 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.611 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.611 * [backup-simplify]: Simplify (* 1 1) into 1
17.611 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.612 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.612 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.612 * [backup-simplify]: Simplify (- 0) into 0
17.612 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.612 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
17.612 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
17.613 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))) in U
17.613 * [taylor]: Taking taylor expansion of 1/2 in U
17.613 * [backup-simplify]: Simplify 1/2 into 1/2
17.613 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))) in U
17.613 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.613 * [taylor]: Taking taylor expansion of J in U
17.613 * [backup-simplify]: Simplify J into J
17.613 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
17.613 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.613 * [taylor]: Taking taylor expansion of U in U
17.613 * [backup-simplify]: Simplify 0 into 0
17.613 * [backup-simplify]: Simplify 1 into 1
17.613 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.613 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.613 * [taylor]: Taking taylor expansion of 1/2 in U
17.613 * [backup-simplify]: Simplify 1/2 into 1/2
17.613 * [taylor]: Taking taylor expansion of K in U
17.613 * [backup-simplify]: Simplify K into K
17.613 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.613 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.613 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.613 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.614 * [backup-simplify]: Simplify (* 1 1) into 1
17.614 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.614 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.615 * [backup-simplify]: Simplify (- 0) into 0
17.615 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.615 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
17.615 * [backup-simplify]: Simplify (/ (pow J 2) (cos (/ 1/2 K))) into (/ (pow J 2) (cos (/ 1/2 K)))
17.615 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K))))) in U
17.615 * [taylor]: Taking taylor expansion of 1/2 in U
17.615 * [backup-simplify]: Simplify 1/2 into 1/2
17.615 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (cos (/ 1/2 K)))) in U
17.615 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.615 * [taylor]: Taking taylor expansion of J in U
17.615 * [backup-simplify]: Simplify J into J
17.615 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
17.615 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.615 * [taylor]: Taking taylor expansion of U in U
17.615 * [backup-simplify]: Simplify 0 into 0
17.615 * [backup-simplify]: Simplify 1 into 1
17.615 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.615 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.615 * [taylor]: Taking taylor expansion of 1/2 in U
17.615 * [backup-simplify]: Simplify 1/2 into 1/2
17.615 * [taylor]: Taking taylor expansion of K in U
17.615 * [backup-simplify]: Simplify K into K
17.615 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.616 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.616 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.616 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.616 * [backup-simplify]: Simplify (* 1 1) into 1
17.616 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.616 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.617 * [backup-simplify]: Simplify (- 0) into 0
17.617 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.617 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
17.617 * [backup-simplify]: Simplify (/ (pow J 2) (cos (/ 1/2 K))) into (/ (pow J 2) (cos (/ 1/2 K)))
17.617 * [backup-simplify]: Simplify (* 1/2 (/ (pow J 2) (cos (/ 1/2 K)))) into (* 1/2 (/ (pow J 2) (cos (/ 1/2 K))))
17.617 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (cos (/ 1/2 K)))) in J
17.617 * [taylor]: Taking taylor expansion of 1/2 in J
17.617 * [backup-simplify]: Simplify 1/2 into 1/2
17.617 * [taylor]: Taking taylor expansion of (/ (pow J 2) (cos (/ 1/2 K))) in J
17.617 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.617 * [taylor]: Taking taylor expansion of J in J
17.617 * [backup-simplify]: Simplify 0 into 0
17.618 * [backup-simplify]: Simplify 1 into 1
17.618 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.618 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.618 * [taylor]: Taking taylor expansion of 1/2 in J
17.618 * [backup-simplify]: Simplify 1/2 into 1/2
17.618 * [taylor]: Taking taylor expansion of K in J
17.618 * [backup-simplify]: Simplify K into K
17.618 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.618 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.618 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.618 * [backup-simplify]: Simplify (* 1 1) into 1
17.618 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.618 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.619 * [backup-simplify]: Simplify (- 0) into 0
17.619 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.619 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
17.619 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
17.619 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
17.619 * [taylor]: Taking taylor expansion of 1/2 in K
17.619 * [backup-simplify]: Simplify 1/2 into 1/2
17.619 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.619 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.619 * [taylor]: Taking taylor expansion of 1/2 in K
17.619 * [backup-simplify]: Simplify 1/2 into 1/2
17.619 * [taylor]: Taking taylor expansion of K in K
17.619 * [backup-simplify]: Simplify 0 into 0
17.619 * [backup-simplify]: Simplify 1 into 1
17.620 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.620 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.620 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
17.620 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
17.620 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.621 * [backup-simplify]: Simplify (+ 0) into 0
17.621 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.621 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.623 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.623 * [backup-simplify]: Simplify (- 0) into 0
17.623 * [backup-simplify]: Simplify (+ 0 0) into 0
17.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
17.625 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ (pow J 2) (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.625 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow J 2) (cos (/ 1/2 K))))) into 0
17.626 * [taylor]: Taking taylor expansion of 0 in J
17.626 * [backup-simplify]: Simplify 0 into 0
17.626 * [taylor]: Taking taylor expansion of 0 in K
17.626 * [backup-simplify]: Simplify 0 into 0
17.626 * [backup-simplify]: Simplify 0 into 0
17.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.627 * [backup-simplify]: Simplify (+ 0) into 0
17.627 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.627 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.628 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.629 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.629 * [backup-simplify]: Simplify (- 0) into 0
17.630 * [backup-simplify]: Simplify (+ 0 0) into 0
17.630 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.630 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
17.630 * [taylor]: Taking taylor expansion of 0 in K
17.630 * [backup-simplify]: Simplify 0 into 0
17.631 * [backup-simplify]: Simplify 0 into 0
17.631 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.631 * [backup-simplify]: Simplify 0 into 0
17.631 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
17.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.633 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.634 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.634 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.635 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.635 * [backup-simplify]: Simplify (- 0) into 0
17.636 * [backup-simplify]: Simplify (+ 0 0) into 0
17.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
17.638 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ (pow J 2) (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
17.639 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (pow J 2) (cos (/ 1/2 K)))))) into 0
17.639 * [taylor]: Taking taylor expansion of 0 in J
17.639 * [backup-simplify]: Simplify 0 into 0
17.639 * [taylor]: Taking taylor expansion of 0 in K
17.639 * [backup-simplify]: Simplify 0 into 0
17.639 * [backup-simplify]: Simplify 0 into 0
17.639 * [taylor]: Taking taylor expansion of 0 in K
17.639 * [backup-simplify]: Simplify 0 into 0
17.640 * [backup-simplify]: Simplify 0 into 0
17.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.641 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.642 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.642 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.643 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.644 * [backup-simplify]: Simplify (- 0) into 0
17.645 * [backup-simplify]: Simplify (+ 0 0) into 0
17.645 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
17.646 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
17.646 * [taylor]: Taking taylor expansion of 0 in K
17.646 * [backup-simplify]: Simplify 0 into 0
17.646 * [backup-simplify]: Simplify 0 into 0
17.646 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ 1/2 (/ 1 K)))) (pow (* 1 (* (/ 1 J) (/ 1 (/ 1 U)))) 2)) into (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))))
17.647 * [backup-simplify]: Simplify (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (/ 1 (- J)))) into (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))))
17.647 * [approximate]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))) in (U J K) around 0
17.647 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))) in K
17.647 * [taylor]: Taking taylor expansion of 1/2 in K
17.647 * [backup-simplify]: Simplify 1/2 into 1/2
17.647 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))) in K
17.647 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.647 * [taylor]: Taking taylor expansion of J in K
17.647 * [backup-simplify]: Simplify J into J
17.647 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
17.647 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.647 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.647 * [taylor]: Taking taylor expansion of -1/2 in K
17.647 * [backup-simplify]: Simplify -1/2 into -1/2
17.647 * [taylor]: Taking taylor expansion of K in K
17.647 * [backup-simplify]: Simplify 0 into 0
17.647 * [backup-simplify]: Simplify 1 into 1
17.648 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.648 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.648 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.648 * [taylor]: Taking taylor expansion of U in K
17.648 * [backup-simplify]: Simplify U into U
17.648 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.648 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.648 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
17.648 * [backup-simplify]: Simplify (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))) into (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))
17.648 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))) in J
17.648 * [taylor]: Taking taylor expansion of 1/2 in J
17.648 * [backup-simplify]: Simplify 1/2 into 1/2
17.648 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))) in J
17.648 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.648 * [taylor]: Taking taylor expansion of J in J
17.649 * [backup-simplify]: Simplify 0 into 0
17.649 * [backup-simplify]: Simplify 1 into 1
17.649 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in J
17.649 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.649 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.649 * [taylor]: Taking taylor expansion of -1/2 in J
17.649 * [backup-simplify]: Simplify -1/2 into -1/2
17.649 * [taylor]: Taking taylor expansion of K in J
17.649 * [backup-simplify]: Simplify K into K
17.649 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.649 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.649 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.649 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.649 * [taylor]: Taking taylor expansion of U in J
17.649 * [backup-simplify]: Simplify U into U
17.649 * [backup-simplify]: Simplify (* 1 1) into 1
17.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.650 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.650 * [backup-simplify]: Simplify (- 0) into 0
17.650 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.650 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.650 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
17.650 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
17.651 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))) in U
17.651 * [taylor]: Taking taylor expansion of 1/2 in U
17.651 * [backup-simplify]: Simplify 1/2 into 1/2
17.651 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))) in U
17.651 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.651 * [taylor]: Taking taylor expansion of J in U
17.651 * [backup-simplify]: Simplify J into J
17.651 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
17.651 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.651 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.651 * [taylor]: Taking taylor expansion of -1/2 in U
17.651 * [backup-simplify]: Simplify -1/2 into -1/2
17.651 * [taylor]: Taking taylor expansion of K in U
17.651 * [backup-simplify]: Simplify K into K
17.651 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.651 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.651 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.651 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.651 * [taylor]: Taking taylor expansion of U in U
17.651 * [backup-simplify]: Simplify 0 into 0
17.651 * [backup-simplify]: Simplify 1 into 1
17.651 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.651 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.651 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.652 * [backup-simplify]: Simplify (- 0) into 0
17.652 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.652 * [backup-simplify]: Simplify (* 1 1) into 1
17.652 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.653 * [backup-simplify]: Simplify (/ (pow J 2) (cos (/ -1/2 K))) into (/ (pow J 2) (cos (/ -1/2 K)))
17.653 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2)))) in U
17.653 * [taylor]: Taking taylor expansion of 1/2 in U
17.653 * [backup-simplify]: Simplify 1/2 into 1/2
17.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (cos (/ -1/2 K)) (pow U 2))) in U
17.653 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.653 * [taylor]: Taking taylor expansion of J in U
17.653 * [backup-simplify]: Simplify J into J
17.653 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
17.653 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.653 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.653 * [taylor]: Taking taylor expansion of -1/2 in U
17.653 * [backup-simplify]: Simplify -1/2 into -1/2
17.653 * [taylor]: Taking taylor expansion of K in U
17.653 * [backup-simplify]: Simplify K into K
17.653 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.653 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.653 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.653 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.653 * [taylor]: Taking taylor expansion of U in U
17.653 * [backup-simplify]: Simplify 0 into 0
17.653 * [backup-simplify]: Simplify 1 into 1
17.653 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.654 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.654 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.654 * [backup-simplify]: Simplify (- 0) into 0
17.654 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.654 * [backup-simplify]: Simplify (* 1 1) into 1
17.655 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.655 * [backup-simplify]: Simplify (/ (pow J 2) (cos (/ -1/2 K))) into (/ (pow J 2) (cos (/ -1/2 K)))
17.655 * [backup-simplify]: Simplify (* 1/2 (/ (pow J 2) (cos (/ -1/2 K)))) into (* 1/2 (/ (pow J 2) (cos (/ -1/2 K))))
17.655 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow J 2) (cos (/ -1/2 K)))) in J
17.655 * [taylor]: Taking taylor expansion of 1/2 in J
17.655 * [backup-simplify]: Simplify 1/2 into 1/2
17.655 * [taylor]: Taking taylor expansion of (/ (pow J 2) (cos (/ -1/2 K))) in J
17.655 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.655 * [taylor]: Taking taylor expansion of J in J
17.655 * [backup-simplify]: Simplify 0 into 0
17.655 * [backup-simplify]: Simplify 1 into 1
17.655 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.655 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.655 * [taylor]: Taking taylor expansion of -1/2 in J
17.655 * [backup-simplify]: Simplify -1/2 into -1/2
17.655 * [taylor]: Taking taylor expansion of K in J
17.655 * [backup-simplify]: Simplify K into K
17.655 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.656 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.656 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.656 * [backup-simplify]: Simplify (* 1 1) into 1
17.656 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.656 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.657 * [backup-simplify]: Simplify (- 0) into 0
17.657 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.657 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
17.657 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
17.657 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
17.657 * [taylor]: Taking taylor expansion of 1/2 in K
17.657 * [backup-simplify]: Simplify 1/2 into 1/2
17.657 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.657 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.657 * [taylor]: Taking taylor expansion of -1/2 in K
17.657 * [backup-simplify]: Simplify -1/2 into -1/2
17.657 * [taylor]: Taking taylor expansion of K in K
17.657 * [backup-simplify]: Simplify 0 into 0
17.657 * [backup-simplify]: Simplify 1 into 1
17.658 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.658 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.658 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
17.658 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
17.658 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.659 * [backup-simplify]: Simplify (+ 0) into 0
17.660 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.660 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.660 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.661 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.661 * [backup-simplify]: Simplify (- 0) into 0
17.662 * [backup-simplify]: Simplify (+ 0 0) into 0
17.662 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.663 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ (pow J 2) (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.663 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ (pow J 2) (cos (/ -1/2 K))))) into 0
17.663 * [taylor]: Taking taylor expansion of 0 in J
17.663 * [backup-simplify]: Simplify 0 into 0
17.663 * [taylor]: Taking taylor expansion of 0 in K
17.663 * [backup-simplify]: Simplify 0 into 0
17.663 * [backup-simplify]: Simplify 0 into 0
17.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.664 * [backup-simplify]: Simplify (+ 0) into 0
17.665 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.665 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.666 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.666 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.667 * [backup-simplify]: Simplify (- 0) into 0
17.667 * [backup-simplify]: Simplify (+ 0 0) into 0
17.667 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.668 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
17.668 * [taylor]: Taking taylor expansion of 0 in K
17.668 * [backup-simplify]: Simplify 0 into 0
17.668 * [backup-simplify]: Simplify 0 into 0
17.668 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.668 * [backup-simplify]: Simplify 0 into 0
17.669 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
17.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.671 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.672 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.672 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.673 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.673 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.674 * [backup-simplify]: Simplify (- 0) into 0
17.674 * [backup-simplify]: Simplify (+ 0 0) into 0
17.675 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.675 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ (pow J 2) (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
17.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ (pow J 2) (cos (/ -1/2 K)))))) into 0
17.676 * [taylor]: Taking taylor expansion of 0 in J
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [taylor]: Taking taylor expansion of 0 in K
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [taylor]: Taking taylor expansion of 0 in K
17.676 * [backup-simplify]: Simplify 0 into 0
17.676 * [backup-simplify]: Simplify 0 into 0
17.677 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.678 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.680 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.681 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.681 * [backup-simplify]: Simplify (- 0) into 0
17.681 * [backup-simplify]: Simplify (+ 0 0) into 0
17.682 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
17.683 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
17.683 * [taylor]: Taking taylor expansion of 0 in K
17.683 * [backup-simplify]: Simplify 0 into 0
17.683 * [backup-simplify]: Simplify 0 into 0
17.683 * [backup-simplify]: Simplify (* (/ 1/2 (cos (/ -1/2 (/ 1 (- K))))) (pow (* 1 (* (/ 1 (- J)) (/ 1 (/ 1 (- U))))) 2)) into (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))))
17.683 * * * * [progress]: [ 4 / 4 ] generating series at (2)
17.690 * [backup-simplify]: Simplify (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) into (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))))
17.690 * [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 U K) around 0
17.690 * [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
17.690 * [taylor]: Taking taylor expansion of -2 in K
17.690 * [backup-simplify]: Simplify -2 into -2
17.690 * [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
17.690 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
17.690 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.690 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.690 * [taylor]: Taking taylor expansion of 1/2 in K
17.690 * [backup-simplify]: Simplify 1/2 into 1/2
17.690 * [taylor]: Taking taylor expansion of K in K
17.690 * [backup-simplify]: Simplify 0 into 0
17.690 * [backup-simplify]: Simplify 1 into 1
17.691 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.692 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.692 * [taylor]: Taking taylor expansion of J in K
17.692 * [backup-simplify]: Simplify J into J
17.692 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
17.692 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
17.692 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
17.692 * [taylor]: Taking taylor expansion of 1/4 in K
17.692 * [backup-simplify]: Simplify 1/4 into 1/4
17.692 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
17.692 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.692 * [taylor]: Taking taylor expansion of U in K
17.692 * [backup-simplify]: Simplify U into U
17.692 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
17.692 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
17.692 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
17.692 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
17.692 * [taylor]: Taking taylor expansion of 1/2 in K
17.692 * [backup-simplify]: Simplify 1/2 into 1/2
17.692 * [taylor]: Taking taylor expansion of K in K
17.692 * [backup-simplify]: Simplify 0 into 0
17.692 * [backup-simplify]: Simplify 1 into 1
17.693 * [backup-simplify]: Simplify (* 1/2 0) into 0
17.693 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
17.693 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.693 * [taylor]: Taking taylor expansion of J in K
17.693 * [backup-simplify]: Simplify J into J
17.693 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.694 * [backup-simplify]: Simplify (* 1 1) into 1
17.694 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.694 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
17.694 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
17.694 * [taylor]: Taking taylor expansion of 1 in K
17.694 * [backup-simplify]: Simplify 1 into 1
17.694 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
17.694 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
17.694 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
17.694 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.694 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.694 * [backup-simplify]: Simplify (+ 0) into 0
17.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
17.695 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
17.696 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
17.696 * [backup-simplify]: Simplify (+ 0 0) into 0
17.696 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
17.696 * [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
17.696 * [taylor]: Taking taylor expansion of -2 in U
17.696 * [backup-simplify]: Simplify -2 into -2
17.696 * [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
17.696 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
17.696 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.696 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.696 * [taylor]: Taking taylor expansion of 1/2 in U
17.696 * [backup-simplify]: Simplify 1/2 into 1/2
17.696 * [taylor]: Taking taylor expansion of K in U
17.696 * [backup-simplify]: Simplify K into K
17.696 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.696 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.697 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.697 * [taylor]: Taking taylor expansion of J in U
17.697 * [backup-simplify]: Simplify J into J
17.697 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
17.697 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
17.697 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
17.697 * [taylor]: Taking taylor expansion of 1/4 in U
17.697 * [backup-simplify]: Simplify 1/4 into 1/4
17.697 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
17.697 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.697 * [taylor]: Taking taylor expansion of U in U
17.697 * [backup-simplify]: Simplify 0 into 0
17.697 * [backup-simplify]: Simplify 1 into 1
17.697 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
17.697 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
17.697 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.697 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.697 * [taylor]: Taking taylor expansion of 1/2 in U
17.697 * [backup-simplify]: Simplify 1/2 into 1/2
17.697 * [taylor]: Taking taylor expansion of K in U
17.697 * [backup-simplify]: Simplify K into K
17.697 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.697 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.697 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.697 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.697 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.697 * [backup-simplify]: Simplify (- 0) into 0
17.697 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.697 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.697 * [taylor]: Taking taylor expansion of J in U
17.697 * [backup-simplify]: Simplify J into J
17.698 * [backup-simplify]: Simplify (* 1 1) into 1
17.698 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.698 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.698 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
17.698 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
17.698 * [taylor]: Taking taylor expansion of 1 in U
17.698 * [backup-simplify]: Simplify 1 into 1
17.699 * [backup-simplify]: Simplify (+ 0 1) into 1
17.699 * [backup-simplify]: Simplify (sqrt 1) into 1
17.699 * [backup-simplify]: Simplify (+ 0 0) into 0
17.699 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.699 * [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
17.700 * [taylor]: Taking taylor expansion of -2 in J
17.700 * [backup-simplify]: Simplify -2 into -2
17.700 * [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
17.700 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
17.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.700 * [taylor]: Taking taylor expansion of 1/2 in J
17.700 * [backup-simplify]: Simplify 1/2 into 1/2
17.700 * [taylor]: Taking taylor expansion of K in J
17.700 * [backup-simplify]: Simplify K into K
17.700 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.700 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.700 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.700 * [taylor]: Taking taylor expansion of J in J
17.700 * [backup-simplify]: Simplify 0 into 0
17.700 * [backup-simplify]: Simplify 1 into 1
17.700 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
17.700 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
17.700 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
17.700 * [taylor]: Taking taylor expansion of 1/4 in J
17.700 * [backup-simplify]: Simplify 1/4 into 1/4
17.700 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.700 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.700 * [taylor]: Taking taylor expansion of U in J
17.700 * [backup-simplify]: Simplify U into U
17.700 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.700 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.700 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.700 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.700 * [taylor]: Taking taylor expansion of 1/2 in J
17.700 * [backup-simplify]: Simplify 1/2 into 1/2
17.700 * [taylor]: Taking taylor expansion of K in J
17.700 * [backup-simplify]: Simplify K into K
17.700 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.700 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.700 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.700 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.700 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.701 * [backup-simplify]: Simplify (- 0) into 0
17.701 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.701 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.701 * [taylor]: Taking taylor expansion of J in J
17.701 * [backup-simplify]: Simplify 0 into 0
17.701 * [backup-simplify]: Simplify 1 into 1
17.701 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.701 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.701 * [backup-simplify]: Simplify (* 1 1) into 1
17.701 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.701 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
17.701 * [taylor]: Taking taylor expansion of 1 in J
17.701 * [backup-simplify]: Simplify 1 into 1
17.701 * [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)))
17.702 * [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)))
17.702 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
17.702 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.703 * [backup-simplify]: Simplify (+ 0) into 0
17.703 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.704 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.704 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.704 * [backup-simplify]: Simplify (- 0) into 0
17.704 * [backup-simplify]: Simplify (+ 0 0) into 0
17.705 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.705 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.705 * [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
17.706 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
17.706 * [backup-simplify]: Simplify (+ 0 0) into 0
17.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.706 * [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
17.706 * [taylor]: Taking taylor expansion of -2 in J
17.706 * [backup-simplify]: Simplify -2 into -2
17.706 * [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
17.706 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
17.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.706 * [taylor]: Taking taylor expansion of 1/2 in J
17.706 * [backup-simplify]: Simplify 1/2 into 1/2
17.706 * [taylor]: Taking taylor expansion of K in J
17.706 * [backup-simplify]: Simplify K into K
17.706 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.706 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.706 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.706 * [taylor]: Taking taylor expansion of J in J
17.706 * [backup-simplify]: Simplify 0 into 0
17.706 * [backup-simplify]: Simplify 1 into 1
17.706 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
17.706 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
17.706 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
17.706 * [taylor]: Taking taylor expansion of 1/4 in J
17.706 * [backup-simplify]: Simplify 1/4 into 1/4
17.706 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
17.706 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.706 * [taylor]: Taking taylor expansion of U in J
17.706 * [backup-simplify]: Simplify U into U
17.706 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
17.706 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
17.706 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
17.706 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
17.707 * [taylor]: Taking taylor expansion of 1/2 in J
17.707 * [backup-simplify]: Simplify 1/2 into 1/2
17.707 * [taylor]: Taking taylor expansion of K in J
17.707 * [backup-simplify]: Simplify K into K
17.707 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.707 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.707 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.707 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.707 * [backup-simplify]: Simplify (- 0) into 0
17.707 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.707 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.707 * [taylor]: Taking taylor expansion of J in J
17.707 * [backup-simplify]: Simplify 0 into 0
17.707 * [backup-simplify]: Simplify 1 into 1
17.707 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.707 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.708 * [backup-simplify]: Simplify (* 1 1) into 1
17.708 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.708 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
17.708 * [taylor]: Taking taylor expansion of 1 in J
17.708 * [backup-simplify]: Simplify 1 into 1
17.708 * [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)))
17.708 * [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)))
17.708 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
17.708 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.709 * [backup-simplify]: Simplify (+ 0) into 0
17.709 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.709 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.710 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.711 * [backup-simplify]: Simplify (- 0) into 0
17.711 * [backup-simplify]: Simplify (+ 0 0) into 0
17.711 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.711 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
17.711 * [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
17.712 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
17.712 * [backup-simplify]: Simplify (+ 0 0) into 0
17.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.712 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.712 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.713 * [backup-simplify]: Simplify (- 0) into 0
17.713 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.713 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
17.713 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
17.713 * [backup-simplify]: Simplify (* -2 0) into 0
17.713 * [taylor]: Taking taylor expansion of 0 in U
17.713 * [backup-simplify]: Simplify 0 into 0
17.713 * [taylor]: Taking taylor expansion of 0 in K
17.713 * [backup-simplify]: Simplify 0 into 0
17.713 * [backup-simplify]: Simplify 0 into 0
17.714 * [backup-simplify]: Simplify (+ 0) into 0
17.714 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.714 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.715 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.715 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.715 * [backup-simplify]: Simplify (- 0) into 0
17.715 * [backup-simplify]: Simplify (+ 0 0) into 0
17.716 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
17.716 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
17.716 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
17.716 * [taylor]: Taking taylor expansion of (- U) in U
17.716 * [taylor]: Taking taylor expansion of U in U
17.716 * [backup-simplify]: Simplify 0 into 0
17.716 * [backup-simplify]: Simplify 1 into 1
17.717 * [backup-simplify]: Simplify (- 0) into 0
17.717 * [taylor]: Taking taylor expansion of 0 in K
17.717 * [backup-simplify]: Simplify 0 into 0
17.717 * [backup-simplify]: Simplify 0 into 0
17.717 * [taylor]: Taking taylor expansion of 0 in K
17.717 * [backup-simplify]: Simplify 0 into 0
17.717 * [backup-simplify]: Simplify 0 into 0
17.717 * [backup-simplify]: Simplify 0 into 0
17.717 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
17.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.718 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.719 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.719 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.720 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.720 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.720 * [backup-simplify]: Simplify (- 0) into 0
17.721 * [backup-simplify]: Simplify (+ 0 0) into 0
17.721 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
17.721 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
17.722 * [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
17.722 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
17.723 * [backup-simplify]: Simplify (+ 0 1) into 1
17.723 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
17.725 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.725 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.726 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
17.726 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.727 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.727 * [backup-simplify]: Simplify (- 0) into 0
17.727 * [backup-simplify]: Simplify (+ 0 0) into 0
17.728 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
17.728 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
17.728 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
17.728 * [taylor]: Taking taylor expansion of 0 in U
17.728 * [backup-simplify]: Simplify 0 into 0
17.729 * [taylor]: Taking taylor expansion of 0 in K
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify (- 1) into -1
17.729 * [taylor]: Taking taylor expansion of -1 in K
17.729 * [backup-simplify]: Simplify -1 into -1
17.729 * [backup-simplify]: Simplify -1 into -1
17.729 * [taylor]: Taking taylor expansion of 0 in K
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify 0 into 0
17.729 * [backup-simplify]: Simplify 0 into 0
17.730 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
17.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.731 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.731 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.732 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
17.733 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.734 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.734 * [backup-simplify]: Simplify (- 0) into 0
17.734 * [backup-simplify]: Simplify (+ 0 0) into 0
17.735 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
17.735 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.735 * [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))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (* 1/2 K)) 2))))) into 0
17.736 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
17.736 * [backup-simplify]: Simplify (+ 0 0) into 0
17.737 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
17.738 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.739 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.740 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
17.741 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.742 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.743 * [backup-simplify]: Simplify (- 0) into 0
17.743 * [backup-simplify]: Simplify (+ 0 0) into 0
17.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
17.745 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (cos (* 1/2 K)) (/ (cos (* 1/2 K)) U)) (+ (* 0 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K)))))))) into (/ (pow (cos (* 1/2 K)) 2) U)
17.746 * [backup-simplify]: Simplify (+ (* -2 (/ (pow (cos (* 1/2 K)) 2) U)) (+ (* 0 0) (+ (* 0 (* 1/2 U)) (* 0 0)))) into (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U)))
17.746 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U
17.746 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U
17.746 * [taylor]: Taking taylor expansion of 2 in U
17.746 * [backup-simplify]: Simplify 2 into 2
17.746 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U
17.746 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
17.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
17.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
17.746 * [taylor]: Taking taylor expansion of 1/2 in U
17.746 * [backup-simplify]: Simplify 1/2 into 1/2
17.746 * [taylor]: Taking taylor expansion of K in U
17.746 * [backup-simplify]: Simplify K into K
17.746 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
17.747 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
17.747 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
17.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
17.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
17.747 * [backup-simplify]: Simplify (- 0) into 0
17.747 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
17.747 * [taylor]: Taking taylor expansion of U in U
17.747 * [backup-simplify]: Simplify 0 into 0
17.747 * [backup-simplify]: Simplify 1 into 1
17.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
17.748 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
17.748 * [backup-simplify]: Simplify (+ 0) into 0
17.749 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
17.749 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
17.750 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.751 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
17.751 * [backup-simplify]: Simplify (- 0) into 0
17.751 * [backup-simplify]: Simplify (+ 0 0) into 0
17.751 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
17.752 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0
17.753 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
17.754 * [backup-simplify]: Simplify (- 0) into 0
17.754 * [taylor]: Taking taylor expansion of 0 in K
17.754 * [backup-simplify]: Simplify 0 into 0
17.754 * [backup-simplify]: Simplify 0 into 0
17.754 * [taylor]: Taking taylor expansion of 0 in K
17.754 * [backup-simplify]: Simplify 0 into 0
17.754 * [backup-simplify]: Simplify 0 into 0
17.754 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
17.755 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 J)) (sqrt (+ 1 (* (* (/ (/ (/ 1 U) 2) (* (/ 1 J) (cos (/ (/ 1 K) 2)))) (/ (/ 1 U) (/ 1 J))) (/ (/ 1 2) (cos (/ (/ 1 K) 2))))))) (cos (/ (/ 1 K) 2))) into (* -2 (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)))
17.755 * [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 U K) around 0
17.756 * [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
17.756 * [taylor]: Taking taylor expansion of -2 in K
17.756 * [backup-simplify]: Simplify -2 into -2
17.756 * [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
17.756 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
17.756 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
17.756 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
17.756 * [taylor]: Taking taylor expansion of 1/4 in K
17.756 * [backup-simplify]: Simplify 1/4 into 1/4
17.756 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
17.756 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.756 * [taylor]: Taking taylor expansion of J in K
17.756 * [backup-simplify]: Simplify J into J
17.756 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
17.756 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.756 * [taylor]: Taking taylor expansion of U in K
17.756 * [backup-simplify]: Simplify U into U
17.756 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
17.756 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.756 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.756 * [taylor]: Taking taylor expansion of 1/2 in K
17.756 * [backup-simplify]: Simplify 1/2 into 1/2
17.756 * [taylor]: Taking taylor expansion of K in K
17.756 * [backup-simplify]: Simplify 0 into 0
17.756 * [backup-simplify]: Simplify 1 into 1
17.757 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.757 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.757 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.757 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.757 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.758 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.758 * [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)))
17.758 * [taylor]: Taking taylor expansion of 1 in K
17.758 * [backup-simplify]: Simplify 1 into 1
17.758 * [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))))
17.759 * [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)
17.759 * [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))
17.759 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.759 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.759 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.760 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.760 * [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
17.761 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.762 * [backup-simplify]: Simplify (+ 0 0) into 0
17.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
17.762 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
17.762 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.762 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.762 * [taylor]: Taking taylor expansion of 1/2 in K
17.762 * [backup-simplify]: Simplify 1/2 into 1/2
17.762 * [taylor]: Taking taylor expansion of K in K
17.762 * [backup-simplify]: Simplify 0 into 0
17.762 * [backup-simplify]: Simplify 1 into 1
17.763 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.763 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.763 * [taylor]: Taking taylor expansion of J in K
17.763 * [backup-simplify]: Simplify J into J
17.763 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
17.763 * [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
17.763 * [taylor]: Taking taylor expansion of -2 in U
17.763 * [backup-simplify]: Simplify -2 into -2
17.763 * [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
17.763 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
17.763 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
17.763 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
17.763 * [taylor]: Taking taylor expansion of 1/4 in U
17.763 * [backup-simplify]: Simplify 1/4 into 1/4
17.763 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
17.763 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.763 * [taylor]: Taking taylor expansion of J in U
17.763 * [backup-simplify]: Simplify J into J
17.763 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
17.763 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.763 * [taylor]: Taking taylor expansion of U in U
17.763 * [backup-simplify]: Simplify 0 into 0
17.763 * [backup-simplify]: Simplify 1 into 1
17.763 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
17.763 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.764 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.764 * [taylor]: Taking taylor expansion of 1/2 in U
17.764 * [backup-simplify]: Simplify 1/2 into 1/2
17.764 * [taylor]: Taking taylor expansion of K in U
17.764 * [backup-simplify]: Simplify K into K
17.764 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.764 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.764 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.764 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.764 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.764 * [backup-simplify]: Simplify (- 0) into 0
17.765 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.765 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.765 * [backup-simplify]: Simplify (* 1 1) into 1
17.765 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.765 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
17.765 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
17.765 * [taylor]: Taking taylor expansion of 1 in U
17.765 * [backup-simplify]: Simplify 1 into 1
17.765 * [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)))
17.766 * [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)))
17.766 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
17.766 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.766 * [backup-simplify]: Simplify (+ 0) into 0
17.766 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.767 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.768 * [backup-simplify]: Simplify (- 0) into 0
17.768 * [backup-simplify]: Simplify (+ 0 0) into 0
17.768 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.768 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.769 * [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
17.769 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
17.770 * [backup-simplify]: Simplify (+ 0 0) into 0
17.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
17.770 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
17.770 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.770 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.770 * [taylor]: Taking taylor expansion of 1/2 in U
17.770 * [backup-simplify]: Simplify 1/2 into 1/2
17.770 * [taylor]: Taking taylor expansion of K in U
17.770 * [backup-simplify]: Simplify K into K
17.770 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.770 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.770 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.770 * [taylor]: Taking taylor expansion of J in U
17.770 * [backup-simplify]: Simplify J into J
17.770 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.770 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.770 * [backup-simplify]: Simplify (- 0) into 0
17.770 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.770 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
17.770 * [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
17.770 * [taylor]: Taking taylor expansion of -2 in J
17.770 * [backup-simplify]: Simplify -2 into -2
17.770 * [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
17.771 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
17.771 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
17.771 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
17.771 * [taylor]: Taking taylor expansion of 1/4 in J
17.771 * [backup-simplify]: Simplify 1/4 into 1/4
17.771 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
17.771 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.771 * [taylor]: Taking taylor expansion of J in J
17.771 * [backup-simplify]: Simplify 0 into 0
17.771 * [backup-simplify]: Simplify 1 into 1
17.771 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
17.771 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.771 * [taylor]: Taking taylor expansion of U in J
17.771 * [backup-simplify]: Simplify U into U
17.771 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
17.771 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.771 * [taylor]: Taking taylor expansion of 1/2 in J
17.771 * [backup-simplify]: Simplify 1/2 into 1/2
17.771 * [taylor]: Taking taylor expansion of K in J
17.771 * [backup-simplify]: Simplify K into K
17.771 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.771 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.771 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.771 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.771 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.771 * [backup-simplify]: Simplify (- 0) into 0
17.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.772 * [backup-simplify]: Simplify (* 1 1) into 1
17.772 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.772 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.772 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.772 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
17.772 * [taylor]: Taking taylor expansion of 1 in J
17.772 * [backup-simplify]: Simplify 1 into 1
17.772 * [backup-simplify]: Simplify (+ 0 1) into 1
17.772 * [backup-simplify]: Simplify (sqrt 1) into 1
17.773 * [backup-simplify]: Simplify (+ 0 0) into 0
17.773 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.773 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
17.773 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.773 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.773 * [taylor]: Taking taylor expansion of 1/2 in J
17.773 * [backup-simplify]: Simplify 1/2 into 1/2
17.773 * [taylor]: Taking taylor expansion of K in J
17.773 * [backup-simplify]: Simplify K into K
17.773 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.773 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.773 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.773 * [taylor]: Taking taylor expansion of J in J
17.773 * [backup-simplify]: Simplify 0 into 0
17.773 * [backup-simplify]: Simplify 1 into 1
17.774 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.774 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.774 * [backup-simplify]: Simplify (- 0) into 0
17.774 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.774 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.774 * [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
17.774 * [taylor]: Taking taylor expansion of -2 in J
17.774 * [backup-simplify]: Simplify -2 into -2
17.774 * [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
17.774 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
17.774 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
17.774 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
17.774 * [taylor]: Taking taylor expansion of 1/4 in J
17.774 * [backup-simplify]: Simplify 1/4 into 1/4
17.774 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
17.774 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.774 * [taylor]: Taking taylor expansion of J in J
17.774 * [backup-simplify]: Simplify 0 into 0
17.774 * [backup-simplify]: Simplify 1 into 1
17.774 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
17.774 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.774 * [taylor]: Taking taylor expansion of U in J
17.774 * [backup-simplify]: Simplify U into U
17.774 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
17.774 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.774 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.774 * [taylor]: Taking taylor expansion of 1/2 in J
17.774 * [backup-simplify]: Simplify 1/2 into 1/2
17.774 * [taylor]: Taking taylor expansion of K in J
17.774 * [backup-simplify]: Simplify K into K
17.774 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.774 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.775 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.775 * [backup-simplify]: Simplify (- 0) into 0
17.775 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.775 * [backup-simplify]: Simplify (* 1 1) into 1
17.775 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.775 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
17.776 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
17.776 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
17.776 * [taylor]: Taking taylor expansion of 1 in J
17.776 * [backup-simplify]: Simplify 1 into 1
17.776 * [backup-simplify]: Simplify (+ 0 1) into 1
17.776 * [backup-simplify]: Simplify (sqrt 1) into 1
17.776 * [backup-simplify]: Simplify (+ 0 0) into 0
17.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.777 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
17.777 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
17.777 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
17.777 * [taylor]: Taking taylor expansion of 1/2 in J
17.777 * [backup-simplify]: Simplify 1/2 into 1/2
17.777 * [taylor]: Taking taylor expansion of K in J
17.777 * [backup-simplify]: Simplify K into K
17.777 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.777 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.777 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.777 * [taylor]: Taking taylor expansion of J in J
17.777 * [backup-simplify]: Simplify 0 into 0
17.777 * [backup-simplify]: Simplify 1 into 1
17.777 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.777 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.778 * [backup-simplify]: Simplify (- 0) into 0
17.778 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.778 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.778 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
17.778 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
17.778 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
17.778 * [taylor]: Taking taylor expansion of -2 in U
17.778 * [backup-simplify]: Simplify -2 into -2
17.778 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.778 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.778 * [taylor]: Taking taylor expansion of 1/2 in U
17.778 * [backup-simplify]: Simplify 1/2 into 1/2
17.778 * [taylor]: Taking taylor expansion of K in U
17.778 * [backup-simplify]: Simplify K into K
17.778 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.778 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.778 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.778 * [backup-simplify]: Simplify (+ 0) into 0
17.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.779 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.779 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.780 * [backup-simplify]: Simplify (- 0) into 0
17.780 * [backup-simplify]: Simplify (+ 0 0) into 0
17.780 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
17.781 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
17.781 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
17.781 * [taylor]: Taking taylor expansion of 0 in U
17.781 * [backup-simplify]: Simplify 0 into 0
17.781 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.781 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.782 * [backup-simplify]: Simplify (- 0) into 0
17.782 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.782 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
17.782 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
17.782 * [taylor]: Taking taylor expansion of -2 in K
17.782 * [backup-simplify]: Simplify -2 into -2
17.782 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
17.782 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
17.782 * [taylor]: Taking taylor expansion of 1/2 in K
17.782 * [backup-simplify]: Simplify 1/2 into 1/2
17.782 * [taylor]: Taking taylor expansion of K in K
17.782 * [backup-simplify]: Simplify 0 into 0
17.782 * [backup-simplify]: Simplify 1 into 1
17.782 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
17.782 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.782 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
17.782 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
17.783 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.783 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.784 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.784 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.784 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.785 * [backup-simplify]: Simplify (- 0) into 0
17.785 * [backup-simplify]: Simplify (+ 0 0) into 0
17.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.786 * [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)))
17.786 * [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))))
17.787 * [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)))
17.787 * [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)))))
17.788 * [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))))))
17.788 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
17.788 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
17.788 * [taylor]: Taking taylor expansion of 1/4 in U
17.788 * [backup-simplify]: Simplify 1/4 into 1/4
17.788 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
17.788 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
17.788 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.788 * [taylor]: Taking taylor expansion of U in U
17.788 * [backup-simplify]: Simplify 0 into 0
17.788 * [backup-simplify]: Simplify 1 into 1
17.788 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
17.788 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
17.788 * [taylor]: Taking taylor expansion of 1/2 in U
17.788 * [backup-simplify]: Simplify 1/2 into 1/2
17.788 * [taylor]: Taking taylor expansion of K in U
17.788 * [backup-simplify]: Simplify K into K
17.788 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
17.788 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
17.788 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
17.788 * [backup-simplify]: Simplify (* 1 1) into 1
17.789 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
17.789 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
17.789 * [backup-simplify]: Simplify (- 0) into 0
17.789 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
17.789 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
17.789 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
17.789 * [backup-simplify]: Simplify (+ 0) into 0
17.790 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.790 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.790 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.790 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.791 * [backup-simplify]: Simplify (- 0) into 0
17.791 * [backup-simplify]: Simplify (+ 0 0) into 0
17.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
17.792 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
17.792 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
17.792 * [backup-simplify]: Simplify (- 0) into 0
17.792 * [taylor]: Taking taylor expansion of 0 in K
17.792 * [backup-simplify]: Simplify 0 into 0
17.792 * [backup-simplify]: Simplify 0 into 0
17.792 * [taylor]: Taking taylor expansion of 0 in K
17.792 * [backup-simplify]: Simplify 0 into 0
17.792 * [backup-simplify]: Simplify 0 into 0
17.793 * [backup-simplify]: Simplify (+ 0) into 0
17.793 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.793 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.794 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.794 * [backup-simplify]: Simplify (- 0) into 0
17.794 * [backup-simplify]: Simplify (+ 0 0) into 0
17.795 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
17.795 * [taylor]: Taking taylor expansion of 0 in K
17.795 * [backup-simplify]: Simplify 0 into 0
17.795 * [backup-simplify]: Simplify 0 into 0
17.795 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
17.795 * [backup-simplify]: Simplify 0 into 0
17.796 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.796 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.796 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.802 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.804 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.804 * [backup-simplify]: Simplify (- 0) into 0
17.805 * [backup-simplify]: Simplify (+ 0 0) into 0
17.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.808 * [backup-simplify]: Simplify (+ 0) into 0
17.808 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
17.809 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
17.809 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.810 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
17.810 * [backup-simplify]: Simplify (- 0) into 0
17.810 * [backup-simplify]: Simplify (+ 0 0) into 0
17.811 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
17.811 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.811 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
17.811 * [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
17.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
17.812 * [backup-simplify]: Simplify (+ 0 0) into 0
17.813 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
17.814 * [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
17.815 * [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
17.815 * [taylor]: Taking taylor expansion of 0 in U
17.815 * [backup-simplify]: Simplify 0 into 0
17.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.817 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.817 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.818 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.818 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.819 * [backup-simplify]: Simplify (- 0) into 0
17.819 * [backup-simplify]: Simplify (+ 0 0) into 0
17.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
17.821 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
17.822 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
17.822 * [backup-simplify]: Simplify (- 0) into 0
17.822 * [taylor]: Taking taylor expansion of 0 in K
17.822 * [backup-simplify]: Simplify 0 into 0
17.822 * [backup-simplify]: Simplify 0 into 0
17.822 * [taylor]: Taking taylor expansion of 0 in K
17.822 * [backup-simplify]: Simplify 0 into 0
17.822 * [backup-simplify]: Simplify 0 into 0
17.822 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
17.824 * [backup-simplify]: Simplify (* (* (* -2 (/ 1 (- J))) (sqrt (+ 1 (* (* (/ (/ (/ 1 (- U)) 2) (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2)))) (/ (/ 1 (- U)) (/ 1 (- J)))) (/ (/ 1 2) (cos (/ (/ 1 (- K)) 2))))))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))))
17.824 * [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 U K) around 0
17.824 * [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
17.824 * [taylor]: Taking taylor expansion of 2 in K
17.824 * [backup-simplify]: Simplify 2 into 2
17.824 * [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
17.824 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
17.824 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.824 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.824 * [taylor]: Taking taylor expansion of -1/2 in K
17.824 * [backup-simplify]: Simplify -1/2 into -1/2
17.824 * [taylor]: Taking taylor expansion of K in K
17.824 * [backup-simplify]: Simplify 0 into 0
17.824 * [backup-simplify]: Simplify 1 into 1
17.824 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.825 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.825 * [taylor]: Taking taylor expansion of J in K
17.825 * [backup-simplify]: Simplify J into J
17.825 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
17.825 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
17.825 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
17.825 * [taylor]: Taking taylor expansion of 1 in K
17.825 * [backup-simplify]: Simplify 1 into 1
17.825 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
17.825 * [taylor]: Taking taylor expansion of 1/4 in K
17.825 * [backup-simplify]: Simplify 1/4 into 1/4
17.825 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
17.825 * [taylor]: Taking taylor expansion of (pow J 2) in K
17.825 * [taylor]: Taking taylor expansion of J in K
17.825 * [backup-simplify]: Simplify J into J
17.825 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
17.825 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
17.825 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.825 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.825 * [taylor]: Taking taylor expansion of -1/2 in K
17.825 * [backup-simplify]: Simplify -1/2 into -1/2
17.825 * [taylor]: Taking taylor expansion of K in K
17.825 * [backup-simplify]: Simplify 0 into 0
17.825 * [backup-simplify]: Simplify 1 into 1
17.826 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.826 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.826 * [taylor]: Taking taylor expansion of (pow U 2) in K
17.826 * [taylor]: Taking taylor expansion of U in K
17.826 * [backup-simplify]: Simplify U into U
17.826 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.826 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.826 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.826 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.826 * [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)))
17.827 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
17.827 * [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)))))
17.827 * [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))))))
17.827 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.828 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.828 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.828 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
17.828 * [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
17.829 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
17.829 * [backup-simplify]: Simplify (+ 0 0) into 0
17.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
17.830 * [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
17.830 * [taylor]: Taking taylor expansion of 2 in U
17.830 * [backup-simplify]: Simplify 2 into 2
17.830 * [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
17.830 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
17.830 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.830 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.830 * [taylor]: Taking taylor expansion of -1/2 in U
17.830 * [backup-simplify]: Simplify -1/2 into -1/2
17.830 * [taylor]: Taking taylor expansion of K in U
17.830 * [backup-simplify]: Simplify K into K
17.830 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.830 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.830 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.830 * [taylor]: Taking taylor expansion of J in U
17.830 * [backup-simplify]: Simplify J into J
17.831 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.831 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.831 * [backup-simplify]: Simplify (- 0) into 0
17.831 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.831 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
17.831 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
17.831 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
17.831 * [taylor]: Taking taylor expansion of 1 in U
17.831 * [backup-simplify]: Simplify 1 into 1
17.831 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
17.831 * [taylor]: Taking taylor expansion of 1/4 in U
17.831 * [backup-simplify]: Simplify 1/4 into 1/4
17.831 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
17.831 * [taylor]: Taking taylor expansion of (pow J 2) in U
17.831 * [taylor]: Taking taylor expansion of J in U
17.832 * [backup-simplify]: Simplify J into J
17.832 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
17.832 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
17.832 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.832 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.832 * [taylor]: Taking taylor expansion of -1/2 in U
17.832 * [backup-simplify]: Simplify -1/2 into -1/2
17.832 * [taylor]: Taking taylor expansion of K in U
17.832 * [backup-simplify]: Simplify K into K
17.832 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.832 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.832 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.832 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.832 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.832 * [backup-simplify]: Simplify (- 0) into 0
17.833 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.833 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.833 * [taylor]: Taking taylor expansion of U in U
17.833 * [backup-simplify]: Simplify 0 into 0
17.833 * [backup-simplify]: Simplify 1 into 1
17.833 * [backup-simplify]: Simplify (* J J) into (pow J 2)
17.833 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.834 * [backup-simplify]: Simplify (* 1 1) into 1
17.834 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
17.834 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
17.834 * [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)))
17.834 * [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)))
17.835 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
17.835 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
17.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.836 * [backup-simplify]: Simplify (+ 0) into 0
17.836 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.837 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.837 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.838 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.838 * [backup-simplify]: Simplify (- 0) into 0
17.839 * [backup-simplify]: Simplify (+ 0 0) into 0
17.839 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.839 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
17.840 * [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
17.840 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
17.841 * [backup-simplify]: Simplify (+ 0 0) into 0
17.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
17.841 * [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
17.841 * [taylor]: Taking taylor expansion of 2 in J
17.841 * [backup-simplify]: Simplify 2 into 2
17.841 * [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
17.841 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
17.841 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.841 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.841 * [taylor]: Taking taylor expansion of -1/2 in J
17.841 * [backup-simplify]: Simplify -1/2 into -1/2
17.841 * [taylor]: Taking taylor expansion of K in J
17.841 * [backup-simplify]: Simplify K into K
17.841 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.841 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.842 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.842 * [taylor]: Taking taylor expansion of J in J
17.842 * [backup-simplify]: Simplify 0 into 0
17.842 * [backup-simplify]: Simplify 1 into 1
17.842 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.842 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.842 * [backup-simplify]: Simplify (- 0) into 0
17.842 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.842 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.842 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
17.842 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
17.842 * [taylor]: Taking taylor expansion of 1 in J
17.842 * [backup-simplify]: Simplify 1 into 1
17.842 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
17.843 * [taylor]: Taking taylor expansion of 1/4 in J
17.843 * [backup-simplify]: Simplify 1/4 into 1/4
17.843 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
17.843 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.843 * [taylor]: Taking taylor expansion of J in J
17.843 * [backup-simplify]: Simplify 0 into 0
17.843 * [backup-simplify]: Simplify 1 into 1
17.843 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
17.843 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
17.843 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.843 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.843 * [taylor]: Taking taylor expansion of -1/2 in J
17.843 * [backup-simplify]: Simplify -1/2 into -1/2
17.843 * [taylor]: Taking taylor expansion of K in J
17.843 * [backup-simplify]: Simplify K into K
17.843 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.843 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.843 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.843 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.843 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.844 * [backup-simplify]: Simplify (- 0) into 0
17.844 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.844 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.844 * [taylor]: Taking taylor expansion of U in J
17.844 * [backup-simplify]: Simplify U into U
17.844 * [backup-simplify]: Simplify (* 1 1) into 1
17.844 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.844 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.845 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.845 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
17.845 * [backup-simplify]: Simplify (+ 1 0) into 1
17.845 * [backup-simplify]: Simplify (sqrt 1) into 1
17.845 * [backup-simplify]: Simplify (+ 0 0) into 0
17.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.846 * [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
17.846 * [taylor]: Taking taylor expansion of 2 in J
17.846 * [backup-simplify]: Simplify 2 into 2
17.846 * [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
17.846 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
17.846 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.846 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.846 * [taylor]: Taking taylor expansion of -1/2 in J
17.846 * [backup-simplify]: Simplify -1/2 into -1/2
17.846 * [taylor]: Taking taylor expansion of K in J
17.846 * [backup-simplify]: Simplify K into K
17.846 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.846 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.846 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.846 * [taylor]: Taking taylor expansion of J in J
17.846 * [backup-simplify]: Simplify 0 into 0
17.846 * [backup-simplify]: Simplify 1 into 1
17.846 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.846 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.847 * [backup-simplify]: Simplify (- 0) into 0
17.847 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.847 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.847 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
17.847 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
17.847 * [taylor]: Taking taylor expansion of 1 in J
17.847 * [backup-simplify]: Simplify 1 into 1
17.847 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
17.847 * [taylor]: Taking taylor expansion of 1/4 in J
17.847 * [backup-simplify]: Simplify 1/4 into 1/4
17.847 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
17.847 * [taylor]: Taking taylor expansion of (pow J 2) in J
17.847 * [taylor]: Taking taylor expansion of J in J
17.847 * [backup-simplify]: Simplify 0 into 0
17.847 * [backup-simplify]: Simplify 1 into 1
17.847 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
17.847 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
17.847 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
17.847 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
17.847 * [taylor]: Taking taylor expansion of -1/2 in J
17.847 * [backup-simplify]: Simplify -1/2 into -1/2
17.847 * [taylor]: Taking taylor expansion of K in J
17.847 * [backup-simplify]: Simplify K into K
17.847 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.847 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.847 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.847 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.847 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.848 * [backup-simplify]: Simplify (- 0) into 0
17.848 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.848 * [taylor]: Taking taylor expansion of (pow U 2) in J
17.848 * [taylor]: Taking taylor expansion of U in J
17.848 * [backup-simplify]: Simplify U into U
17.848 * [backup-simplify]: Simplify (* 1 1) into 1
17.848 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
17.848 * [backup-simplify]: Simplify (* U U) into (pow U 2)
17.848 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
17.848 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
17.849 * [backup-simplify]: Simplify (+ 1 0) into 1
17.849 * [backup-simplify]: Simplify (sqrt 1) into 1
17.849 * [backup-simplify]: Simplify (+ 0 0) into 0
17.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
17.850 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.850 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
17.850 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
17.850 * [taylor]: Taking taylor expansion of 2 in U
17.850 * [backup-simplify]: Simplify 2 into 2
17.850 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.850 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.850 * [taylor]: Taking taylor expansion of -1/2 in U
17.850 * [backup-simplify]: Simplify -1/2 into -1/2
17.850 * [taylor]: Taking taylor expansion of K in U
17.850 * [backup-simplify]: Simplify K into K
17.850 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.850 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.850 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.850 * [backup-simplify]: Simplify (+ 0) into 0
17.851 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.851 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.851 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.852 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.852 * [backup-simplify]: Simplify (- 0) into 0
17.852 * [backup-simplify]: Simplify (+ 0 0) into 0
17.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
17.853 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.853 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
17.853 * [taylor]: Taking taylor expansion of 0 in U
17.853 * [backup-simplify]: Simplify 0 into 0
17.853 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.854 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.854 * [backup-simplify]: Simplify (- 0) into 0
17.854 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.854 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
17.854 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
17.854 * [taylor]: Taking taylor expansion of 2 in K
17.854 * [backup-simplify]: Simplify 2 into 2
17.854 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
17.854 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
17.854 * [taylor]: Taking taylor expansion of -1/2 in K
17.854 * [backup-simplify]: Simplify -1/2 into -1/2
17.854 * [taylor]: Taking taylor expansion of K in K
17.854 * [backup-simplify]: Simplify 0 into 0
17.854 * [backup-simplify]: Simplify 1 into 1
17.854 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
17.854 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.854 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
17.855 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
17.855 * [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)))
17.855 * [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))))
17.856 * [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)))
17.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.857 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.858 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.858 * [backup-simplify]: Simplify (- 0) into 0
17.858 * [backup-simplify]: Simplify (+ 0 0) into 0
17.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.860 * [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))))
17.860 * [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))))
17.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U
17.860 * [taylor]: Taking taylor expansion of 1/4 in U
17.860 * [backup-simplify]: Simplify 1/4 into 1/4
17.860 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U
17.860 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
17.860 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
17.860 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
17.860 * [taylor]: Taking taylor expansion of -1/2 in U
17.860 * [backup-simplify]: Simplify -1/2 into -1/2
17.860 * [taylor]: Taking taylor expansion of K in U
17.860 * [backup-simplify]: Simplify K into K
17.860 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
17.860 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
17.860 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
17.861 * [taylor]: Taking taylor expansion of (pow U 2) in U
17.861 * [taylor]: Taking taylor expansion of U in U
17.861 * [backup-simplify]: Simplify 0 into 0
17.861 * [backup-simplify]: Simplify 1 into 1
17.861 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.861 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
17.861 * [backup-simplify]: Simplify (- 0) into 0
17.861 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
17.861 * [backup-simplify]: Simplify (* 1 1) into 1
17.861 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
17.861 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
17.862 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.862 * [backup-simplify]: Simplify (+ 0) into 0
17.862 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.862 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.863 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.863 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.863 * [backup-simplify]: Simplify (- 0) into 0
17.864 * [backup-simplify]: Simplify (+ 0 0) into 0
17.864 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
17.864 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
17.865 * [taylor]: Taking taylor expansion of 0 in K
17.865 * [backup-simplify]: Simplify 0 into 0
17.865 * [backup-simplify]: Simplify 0 into 0
17.865 * [taylor]: Taking taylor expansion of 0 in K
17.865 * [backup-simplify]: Simplify 0 into 0
17.865 * [backup-simplify]: Simplify 0 into 0
17.865 * [backup-simplify]: Simplify (+ 0) into 0
17.865 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.865 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.866 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.866 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.866 * [backup-simplify]: Simplify (- 0) into 0
17.867 * [backup-simplify]: Simplify (+ 0 0) into 0
17.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
17.867 * [taylor]: Taking taylor expansion of 0 in K
17.867 * [backup-simplify]: Simplify 0 into 0
17.867 * [backup-simplify]: Simplify 0 into 0
17.867 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
17.867 * [backup-simplify]: Simplify 0 into 0
17.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
17.868 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
17.868 * [backup-simplify]: Simplify (+ 0) into 0
17.868 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
17.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
17.869 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
17.869 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
17.870 * [backup-simplify]: Simplify (- 0) into 0
17.870 * [backup-simplify]: Simplify (+ 0 0) into 0
17.870 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
17.870 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
17.870 * [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
17.871 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
17.871 * [backup-simplify]: Simplify (+ 0 0) into 0
17.871 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
17.872 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
17.872 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
17.873 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.873 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
17.874 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
17.874 * [backup-simplify]: Simplify (- 0) into 0
17.874 * [backup-simplify]: Simplify (+ 0 0) into 0
17.875 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
17.876 * [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
17.877 * [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
17.877 * [taylor]: Taking taylor expansion of 0 in U
17.877 * [backup-simplify]: Simplify 0 into 0
17.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
17.879 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
17.879 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.879 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
17.880 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
17.880 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
17.880 * [backup-simplify]: Simplify (- 0) into 0
17.881 * [backup-simplify]: Simplify (+ 0 0) into 0
17.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
17.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
17.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
17.882 * [taylor]: Taking taylor expansion of 0 in K
17.882 * [backup-simplify]: Simplify 0 into 0
17.883 * [backup-simplify]: Simplify 0 into 0
17.883 * [taylor]: Taking taylor expansion of 0 in K
17.883 * [backup-simplify]: Simplify 0 into 0
17.883 * [backup-simplify]: Simplify 0 into 0
17.883 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
17.883 * * * [progress]: simplifying candidates
17.883 * * * * [progress]: [ 1 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) 1/2)) (cos (/ K 2))))>
17.883 * * * * [progress]: [ 2 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) 1)) (cos (/ K 2))))>
17.883 * * * * [progress]: [ 3 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (exp (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 4 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (log (exp (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 5 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (* (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 6 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cbrt (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 7 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (* (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (sqrt (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 8 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 9 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt 1) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 10 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (/ (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3))) (sqrt (+ (* 1 1) (- (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) (* 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 11 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (/ (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 12 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (pow (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) (/ 1 2))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 13 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 14 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (fabs (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 15 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1 (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 16 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (posit16->real (real->posit16 (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.884 * * * * [progress]: [ 17 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) 1) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 18 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) 1) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 19 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (pow (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) 1) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 20 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (+ (log -2) (log J)) (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 21 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (exp (+ (log (* -2 J)) (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 22 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (exp (log (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 23 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (log (exp (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 24 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 25 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 26 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (cbrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cbrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cbrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 27 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (cbrt (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 28 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (sqrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 29 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* 1 (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.885 * * * * [progress]: [ 30 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 31 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (* (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (sqrt (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 32 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 33 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt 1)) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 34 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 35 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) 1) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 36 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 (* J (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 37 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3)))) (sqrt (+ (* 1 1) (- (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) (* 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 38 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (/ (* (* -2 J) (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 39 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (posit16->real (real->posit16 (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 40 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (* -2 J)) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 41 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) 1) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 42 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (pow (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) 1) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.886 * * * * [progress]: [ 43 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log U) (log J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 44 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 45 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log U) (log J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 46 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (log (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 47 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (- (log U) (log J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 48 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (log (/ U 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 49 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (- (log U) (log J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 50 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (log (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 51 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (- (log U) (log J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 52 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (+ (log (/ (/ U 2) (* J (cos (/ K 2))))) (log (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.887 * * * * [progress]: [ 53 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (exp (log (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 54 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (log (exp (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 55 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* J J) J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 56 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U J) (/ U J)) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 57 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* U U) U) (* (* J J) J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 58 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (/ (* (* U U) U) (* (* 2 2) 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ U J) (/ U J)) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 59 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (/ (* (* U U) U) (* (* J J) J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 60 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))) (* (* (/ U J) (/ U J)) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 61 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (/ (* (* U U) U) (* (* J J) J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 62 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (/ (* (* (/ U 2) (/ U 2)) (/ U 2)) (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))) (* (* (/ U J) (/ U J)) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 63 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (* (* U U) U) (* (* J J) J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 64 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ U J) (/ U J)) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.888 * * * * [progress]: [ 65 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 66 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (cbrt (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))) (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 67 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (sqrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))) (sqrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 68 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (* (/ U 2) U) (* (* J (cos (/ K 2))) J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 69 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 70 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ U J))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 71 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (sqrt U) (sqrt J))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (sqrt U) (sqrt J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 72 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (cbrt (/ U J)) (cbrt (/ U J)))) (cbrt (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 73 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt (/ U J))) (sqrt (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 74 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J)))) (/ (cbrt U) (cbrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 75 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (sqrt J))) (/ (cbrt U) (sqrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 76 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) 1)) (/ (cbrt U) J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 77 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt U) (* (cbrt J) (cbrt J)))) (/ (sqrt U) (cbrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.889 * * * * [progress]: [ 78 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt U) (sqrt J))) (/ (sqrt U) (sqrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 79 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt U) 1)) (/ (sqrt U) J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 80 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 (* (cbrt J) (cbrt J)))) (/ U (cbrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 81 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 (sqrt J))) (/ U (sqrt J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 82 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 1)) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 83 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) 1) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 84 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) U) (/ 1 J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 85 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (cbrt (/ (/ U 2) (* J (cos (/ K 2)))))) (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 86 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 87 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (* (cbrt (/ U 2)) (cbrt (/ U 2))) J) (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 88 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (sqrt (/ U 2)) J) (* (/ (sqrt (/ U 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 89 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (cbrt U) (cbrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 90 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J) (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 91 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.890 * * * * [progress]: [ 92 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) (* (cbrt 2) (cbrt 2))) J) (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 93 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) (sqrt 2)) J) (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 94 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ (sqrt U) 1) J) (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 95 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 (* (cbrt 2) (cbrt 2))) J) (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 96 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 (sqrt 2)) J) (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 97 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ 1 1) J) (* (/ (/ U 2) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 98 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ 1 J) (* (/ (/ U 2) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 99 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ U J) (* (/ (/ 1 2) (cos (/ K 2))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 100 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 101 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ U 2) (* (/ 1 (* J (cos (/ K 2)))) (/ U J))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 102 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (* (/ (/ U 2) (* J (cos (/ K 2)))) U) J) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 103 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (/ (* (/ U 2) (/ U J)) (* J (cos (/ K 2)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 104 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (posit16->real (real->posit16 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 105 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ U J) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.891 * * * * [progress]: [ 106 / 141 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) 1))>
17.891 * * * * [progress]: [ 107 / 141 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) 1))>
17.892 * * * * [progress]: [ 108 / 141 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) 1))>
17.892 * * * * [progress]: [ 109 / 141 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) 1))>
17.892 * * * * [progress]: [ 110 / 141 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log -2) (log J)) (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (log (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 111 / 141 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* -2 J)) (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (log (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 112 / 141 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (log (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 113 / 141 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 114 / 141 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 115 / 141 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 116 / 141 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 117 / 141 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 118 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))) (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))) (cbrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 119 / 141 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.892 * * * * [progress]: [ 120 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.893 * * * * [progress]: [ 121 / 141 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))))>
17.893 * * * * [progress]: [ 122 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))>
17.893 * * * * [progress]: [ 123 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))))>
17.893 * * * * [progress]: [ 124 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) 1) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 125 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cos (/ K 2)))))>
17.893 * * * * [progress]: [ 126 / 141 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3)))) (cos (/ K 2))) (sqrt (+ (* 1 1) (- (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) (* 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))))>
17.893 * * * * [progress]: [ 127 / 141 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* -2 J) (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2))) (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))>
17.893 * * * * [progress]: [ 128 / 141 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))))>
17.893 * * * * [progress]: [ 129 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (cos (/ K 2)) (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))))>
17.893 * * * * [progress]: [ 130 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) 1) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 131 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 132 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 133 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* -1 U) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 134 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (cos (/ K 2))))>
17.893 * * * * [progress]: [ 135 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (cos (/ K 2))))>
17.894 * * * * [progress]: [ 136 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/2 (/ (pow U 2) (pow J 2)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.894 * * * * [progress]: [ 137 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.894 * * * * [progress]: [ 138 / 141 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2)))) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))>
17.894 * * * * [progress]: [ 139 / 141 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
17.894 * * * * [progress]: [ 140 / 141 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
17.894 * * * * [progress]: [ 141 / 141 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
17.897 * [simplify]: Simplifying:
  (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (exp (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (* (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (cbrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt (* (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (sqrt (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt 1)
  (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))
  (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3)))
  (sqrt (+ (* 1 1) (- (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))) (* 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt (- 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))
  (/ 1 2)
  (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (real->posit16 (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
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  (+ (log (* -2 J)) (log (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
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  (exp (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
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  (cbrt (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
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  (* (* -2 J) (sqrt (* (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cbrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))))
  (* (* -2 J) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (* (* -2 J) (sqrt 1))
  (* (* -2 J) (sqrt (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (* (* -2 J) 1)
  (* J (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))
  (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3))))
  (* (* -2 J) (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (real->posit16 (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J))
  (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (- (log U) (log J)))
  (+ (- (- (log U) (log 2)) (+ (log J) (log (cos (/ K 2))))) (log (/ U J)))
  (+ (- (- (log U) (log 2)) (log (* J (cos (/ K 2))))) (- (log U) (log J)))
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  (+ (- (log (/ U 2)) (log (* J (cos (/ K 2))))) (log (/ U J)))
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  (sqrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)))
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  (* (/ U 2) U)
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  (* (/ (/ U 2) (* J (cos (/ K 2)))) (* (cbrt (/ U J)) (cbrt (/ U J))))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt (/ U J)))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (* (cbrt J) (cbrt J))))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) (sqrt J)))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (* (cbrt U) (cbrt U)) 1))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt U) (* (cbrt J) (cbrt J))))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (sqrt U) (sqrt J)))
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  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ 1 (* (cbrt J) (cbrt J))))
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  (* (cbrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ U J))
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  (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))
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  (* (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))) (cos (/ K 2)))
  (* (* (* -2 J) (sqrt (+ (pow 1 3) (pow (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) 3)))) (cos (/ K 2)))
  (* (* (* -2 J) (sqrt (- (* 1 1) (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2)))))))) (cos (/ K 2)))
  (real->posit16 (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))
  1
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* 1/2 (/ U (* (cos (* 1/2 K)) J)))
  (* -1 U)
  (* -2 J)
  (* -2 J)
  (+ (* 1/16 (/ (* (pow K 2) (pow U 2)) (pow J 2))) (* 1/2 (/ (pow U 2) (pow J 2))))
  (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))))
  (* 1/2 (/ (pow U 2) (* (cos (* 1/2 K)) (pow J 2))))
  (* -1 U)
  (* -2 (* (cos (* 1/2 K)) J))
  (* -2 (* (cos (* 1/2 K)) J))
17.903 * * [simplify]: iteration 1: (265 enodes)
17.980 * * [simplify]: iteration 2: (794 enodes)
18.581 * * [simplify]: Extracting #0: cost 91 inf + 0
18.582 * * [simplify]: Extracting #1: cost 777 inf + 2
18.586 * * [simplify]: Extracting #2: cost 1154 inf + 2173
18.594 * * [simplify]: Extracting #3: cost 1021 inf + 34176
18.609 * * [simplify]: Extracting #4: cost 836 inf + 71739
18.631 * * [simplify]: Extracting #5: cost 707 inf + 102022
18.695 * * [simplify]: Extracting #6: cost 318 inf + 230172
18.814 * * [simplify]: Extracting #7: cost 94 inf + 342805
18.929 * * [simplify]: Extracting #8: cost 4 inf + 399271
19.073 * * [simplify]: Extracting #9: cost 0 inf + 400449
19.191 * * [simplify]: Extracting #10: cost 0 inf + 399716
19.300 * * [simplify]: Extracting #11: cost 0 inf + 399635
19.413 * [simplify]: Simplified to:
  (log (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (exp (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (cbrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))) (cbrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (cbrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))
  (fabs (cbrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (sqrt (cbrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (sqrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (sqrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  1
  (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))
  (sqrt (+ (* (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) 1))
  (sqrt (+ (- (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) 1))
  (sqrt (- 1 (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)))))
  (sqrt (- 1 (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))))
  1/2
  (sqrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
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  (real->posit16 (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (log (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (log (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (log (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (exp (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
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  (* (* J -2) (* (* J -2) (* (* (* J -2) (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))))
  (* (cbrt (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))) (cbrt (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))))
  (cbrt (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* (* J -2) (* (* J -2) (* (* (* J -2) (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))))
  (sqrt (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (sqrt (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* (* (* J -2) (cbrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))) (cbrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* (* J -2) (fabs (cbrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* (* J -2) (sqrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* J -2)
  (* (* J -2) (sqrt (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (* J -2)
  (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)
  (* (* (sqrt (+ (* (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) 1)) -2) J)
  (* (* J -2) (sqrt (- 1 (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))))))
  (real->posit16 (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1))))
  (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (log (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (exp (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (* (* (/ U J) (/ U J)) (* (/ U J) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (* (* (/ U J) (/ U J)) (* (/ U J) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (* (* (/ U J) (/ U J)) (* (/ U J) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (* (* (/ U J) (/ U J)) (* (/ U J) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (* (* (/ U J) (/ U J)) (* (/ U J) (* (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (/ U (* J 2)) (cos (/ K 2))))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (* (cbrt (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))) (cbrt (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (cbrt (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))))
  (sqrt (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (sqrt (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (/ (* U U) 2)
  (* (* J J) (cos (/ K 2)))
  (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (/ U J)))
  (* (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (sqrt (/ U J)))
  (/ (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (sqrt J) (sqrt U)))
  (/ (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))) (/ (sqrt J) (sqrt U)))
  (/ (* U (* (cbrt (/ U J)) (cbrt (/ U J)))) (* (cos (/ K 2)) (* J 2)))
  (/ (/ (* (/ U 2) (sqrt (/ U J))) J) (cos (/ K 2)))
  (/ (* (* (/ (cbrt U) (cbrt J)) (/ (cbrt U) (cbrt J))) (/ U (* J 2))) (cos (/ K 2)))
  (* (/ (/ U (* J 2)) (cos (/ K 2))) (/ (cbrt U) (/ (sqrt J) (cbrt U))))
  (/ (* (* (cbrt U) (cbrt U)) (/ U (* J 2))) (cos (/ K 2)))
  (* (/ U (* J 2)) (/ (/ (sqrt U) (* (cbrt J) (cbrt J))) (cos (/ K 2))))
  (/ (* (/ (sqrt U) (sqrt J)) (/ U 2)) (* (cos (/ K 2)) J))
  (* (/ U (* J 2)) (/ (sqrt U) (cos (/ K 2))))
  (/ (/ (/ U (* J 2)) (cos (/ K 2))) (* (cbrt J) (cbrt J)))
  (/ (/ (/ U (* J 2)) (cos (/ K 2))) (sqrt J))
  (/ (/ U (* J 2)) (cos (/ K 2)))
  (/ (/ U (* J 2)) (cos (/ K 2)))
  (/ (* U U) (* (cos (/ K 2)) (* J 2)))
  (/ (cbrt (/ (/ U (* J 2)) (cos (/ K 2)))) (/ J U))
  (* (/ U J) (sqrt (/ (/ U (* J 2)) (cos (/ K 2)))))
  (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ U J))
  (/ (/ (* (sqrt (/ U 2)) U) (cos (/ K 2))) J)
  (/ (/ (* (cbrt U) (/ U J)) (cbrt 2)) (cos (/ K 2)))
  (* (/ U J) (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))))
  (/ (/ (* (/ (cbrt U) 2) U) J) (cos (/ K 2)))
  (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ U J))
  (* (/ (sqrt U) (* (cos (/ K 2)) (sqrt 2))) (/ U J))
  (/ (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ J U))
  (/ (/ (* U (/ U J)) (cbrt 2)) (cos (/ K 2)))
  (* (/ U J) (/ (/ U (sqrt 2)) (cos (/ K 2))))
  (/ (* U U) (* (cos (/ K 2)) (* J 2)))
  (/ (* U U) (* (cos (/ K 2)) (* J 2)))
  (/ 1/2 (/ (cos (/ K 2)) (/ U J)))
  (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2)))
  (/ (/ (/ U J) J) (cos (/ K 2)))
  (/ (* U U) (* (cos (/ K 2)) (* J 2)))
  (/ (/ (* U U) J) 2)
  (real->posit16 (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))))
  (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))
  (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))
  (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))
  (log (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (log (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (log (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (log (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (exp (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))) (* (* J J) (* J -8))) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (* (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (* (* (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (* (cbrt (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))) (cbrt (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))))
  (cbrt (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (* (* (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))) (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (sqrt (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (sqrt (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J))
  (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) (* (* J -2) (sqrt (cos (/ K 2)))))
  (* (* J -2) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (cos (/ K 2)) (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)))
  (* (* (cos (/ K 2)) (* J -2)) (sqrt (+ (* (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))) 1)))
  (* (* (cos (/ K 2)) (* J -2)) (sqrt (- 1 (* (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2))))))
  (real->posit16 (* (* (cos (/ K 2)) -2) (* (sqrt (+ (/ (/ (/ (/ (/ (* U U) J) 2) J) (cos (/ K 2))) (* (cos (/ K 2)) 2)) 1)) J)))
  1
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  (/ (/ (* U 1/2) (cos (* 1/2 K))) J)
  (- U)
  (* J -2)
  (* J -2)
  (+ (/ 1/2 (* (/ J U) (/ J U))) (/ (* (* K K) 1/16) (* (/ J U) (/ J U))))
  (/ (/ 1/2 (* (/ J U) (/ J U))) (cos (* 1/2 K)))
  (/ (/ 1/2 (* (/ J U) (/ J U))) (cos (* 1/2 K)))
  (- U)
  (* (cos (* 1/2 K)) (* J -2))
  (* (cos (* 1/2 K)) (* J -2))
19.440 * * * [progress]: adding candidates to table
21.627 * [progress]: [Phase 3 of 3] Extracting.
21.628 * * [regime]: Finding splitpoints for: (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
21.630 * * * [regime-changes]: Trying 5 branch expressions: (U K (/ K 2) (cos (/ K 2)) J)
21.630 * * * * [regimes]: Trying to branch on U from (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
22.069 * * * * [regimes]: Trying to branch on K from (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
22.161 * * * * [regimes]: Trying to branch on (/ K 2) from (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
22.246 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
22.320 * * * * [regimes]: Trying to branch on J from (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
22.467 * * * [regime]: Found split indices: #<option (#s(si 5 105) #s(si 7 117) #s(si 5 133) #s(si 7 147) #s(si 5 255))>
22.469 * [binary-search]: Improving bounds with binary search for J and (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
23.075 * [regimes]: Found splitpoints: (#s(sp 5 J -7.065412618436453e-178) #s(sp 7 J -3.5882868254156677e-244) #s(sp 5 J 5.818795322276243e-280) #s(sp 7 J 2.7142743861140305e-203) #s(sp 5 J +nan.0)) , with alts (#<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))))> #<alt (λ (J K U) (* (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2)))) (sqrt (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (sqrt (cos (/ K 2)))) (sqrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (posit16->real (real->posit16 (* J (cos (/ K 2))))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* -2 J) (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))))) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))))> #<alt (λ (J K U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))))> #<alt (λ (J K U) (* (- U) (cos (/ K 2))))> #<alt (λ (J K U) (- U))>)
23.076 * [simplify]: Simplifying:
  (if (<= J -7.065412618436453e-178) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) (if (<= J -3.5882868254156677e-244) (- U) (if (<= J 5.818795322276243e-280) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2))) (if (<= J 2.7142743861140305e-203) (- U) (* (* (* -2 J) (sqrt (+ 1 (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ U J)) (/ (/ 1 2) (cos (/ K 2))))))) (cos (/ K 2)))))))
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30.297 * * [simplify]: iteration 249: (1869 enodes)
30.340 * * [simplify]: iteration 250: (1877 enodes)
30.384 * * [simplify]: iteration 251: (1884 enodes)
30.434 * * [simplify]: iteration 252: (1892 enodes)
30.478 * * [simplify]: iteration 253: (1899 enodes)
30.520 * * [simplify]: iteration 254: (1907 enodes)
30.574 * * [simplify]: iteration 255: (1914 enodes)
30.628 * * [simplify]: iteration 256: (1922 enodes)
30.674 * * [simplify]: iteration 257: (1929 enodes)
30.715 * * [simplify]: iteration 258: (1937 enodes)
30.771 * * [simplify]: iteration 259: (1944 enodes)
30.824 * * [simplify]: iteration 260: (1952 enodes)
30.866 * * [simplify]: iteration 261: (1959 enodes)
30.924 * * [simplify]: iteration 262: (1967 enodes)
30.971 * * [simplify]: iteration 263: (1974 enodes)
31.016 * * [simplify]: iteration 264: (1982 enodes)
31.059 * * [simplify]: iteration 265: (1989 enodes)
31.143 * * [simplify]: iteration 266: (1997 enodes)
31.213 * * [simplify]: Extracting #0: cost 1 inf + 0
31.213 * * [simplify]: Extracting #1: cost 6 inf + 0
31.214 * * [simplify]: Extracting #2: cost 15 inf + 0
31.214 * * [simplify]: Extracting #3: cost 408 inf + 44
31.216 * * [simplify]: Extracting #4: cost 413 inf + 179
31.219 * * [simplify]: Extracting #5: cost 409 inf + 399
31.221 * * [simplify]: Extracting #6: cost 400 inf + 2034
31.230 * * [simplify]: Extracting #7: cost 56 inf + 89704
31.245 * * [simplify]: Extracting #8: cost 15 inf + 100306
31.257 * * [simplify]: Extracting #9: cost 9 inf + 101722
31.284 * * [simplify]: Extracting #10: cost 6 inf + 102999
31.325 * * [simplify]: Extracting #11: cost 0 inf + 108096
31.364 * * [simplify]: Extracting #12: cost 0 inf + 107951
31.413 * [simplify]: Simplified to:
  (if (<= J -7.065412618436453e-178) (* (* (* -2 J) (sqrt (+ (* (* (/ U J) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ 1/2 (cos (/ K 2)))) 1))) (cos (/ K 2))) (if (<= J -3.5882868254156677e-244) (- U) (if (<= J 5.818795322276243e-280) (* (* (* -2 J) (sqrt (+ (* (* (/ U J) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ 1/2 (cos (/ K 2)))) 1))) (cos (/ K 2))) (if (<= J 2.7142743861140305e-203) (- U) (* (* (* -2 J) (sqrt (+ (* (* (/ U J) (/ (/ U 2) (* (cos (/ K 2)) J))) (/ 1/2 (cos (/ K 2)))) 1))) (cos (/ K 2)))))))
38.634 * [regime-testing]: Baseline error score: 17.45486216837656
38.636 * [regime-testing]: Oracle error score: 8.103525702112357
38.640 * [regime-testing]: End program error score: 17.23197794328284