52.480 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.205 * * * [progress]: [2/2] Setting up program.
0.214 * [progress]: [Phase 2 of 3] Improving.
0.214 * * * * [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)))))>
0.214 * [simplify]: Simplifying:
  (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
0.214 * * [simplify]: iteration 1: (17 enodes)
0.221 * * [simplify]: iteration 2: (36 enodes)
0.234 * * [simplify]: iteration 3: (81 enodes)
0.251 * * [simplify]: iteration 4: (188 enodes)
0.336 * * [simplify]: iteration 5: (624 enodes)
0.814 * * [simplify]: Extracting #0: cost 1 inf + 0
0.814 * * [simplify]: Extracting #1: cost 15 inf + 0
0.814 * * [simplify]: Extracting #2: cost 15 inf + 2
0.814 * * [simplify]: Extracting #3: cost 18 inf + 44
0.814 * * [simplify]: Extracting #4: cost 203 inf + 89
0.817 * * [simplify]: Extracting #5: cost 339 inf + 6839
0.834 * * [simplify]: Extracting #6: cost 212 inf + 33555
0.880 * * [simplify]: Extracting #7: cost 37 inf + 105276
0.918 * * [simplify]: Extracting #8: cost 2 inf + 122778
0.981 * * [simplify]: Extracting #9: cost 0 inf + 123979
1.016 * [simplify]: Simplified to:
  (* (sqrt (+ (* (/ (/ U J) (* (cos (/ K 2)) 2)) (/ (/ U J) (* (cos (/ K 2)) 2))) 1)) (* (cos (/ K 2)) (* -2 J)))
1.028 * * [progress]: iteration 1 / 4
1.028 * * * [progress]: picking best candidate
1.033 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.033 * * * [progress]: localizing error
1.074 * * * [progress]: generating rewritten candidates
1.074 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
1.171 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
1.383 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2)
1.420 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
1.453 * * * [progress]: generating series expansions
1.453 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
1.454 * [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))
1.454 * [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
1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.454 * [taylor]: Taking taylor expansion of 1/4 in K
1.454 * [backup-simplify]: Simplify 1/4 into 1/4
1.454 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.454 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.454 * [taylor]: Taking taylor expansion of U in K
1.454 * [backup-simplify]: Simplify U into U
1.454 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.454 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.454 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.454 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.454 * [taylor]: Taking taylor expansion of 1/2 in K
1.454 * [backup-simplify]: Simplify 1/2 into 1/2
1.454 * [taylor]: Taking taylor expansion of K in K
1.454 * [backup-simplify]: Simplify 0 into 0
1.454 * [backup-simplify]: Simplify 1 into 1
1.455 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.456 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.456 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.456 * [taylor]: Taking taylor expansion of J in K
1.456 * [backup-simplify]: Simplify J into J
1.456 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.457 * [backup-simplify]: Simplify (* 1 1) into 1
1.457 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.457 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.457 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.457 * [taylor]: Taking taylor expansion of 1 in K
1.457 * [backup-simplify]: Simplify 1 into 1
1.457 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.457 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.458 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.458 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.458 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.458 * [backup-simplify]: Simplify (+ 0) into 0
1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.460 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.460 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.461 * [backup-simplify]: Simplify (+ 0 0) into 0
1.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.461 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.461 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.461 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.461 * [taylor]: Taking taylor expansion of 1/4 in J
1.461 * [backup-simplify]: Simplify 1/4 into 1/4
1.461 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.461 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.461 * [taylor]: Taking taylor expansion of U in J
1.461 * [backup-simplify]: Simplify U into U
1.461 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.461 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.461 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.461 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.461 * [taylor]: Taking taylor expansion of 1/2 in J
1.461 * [backup-simplify]: Simplify 1/2 into 1/2
1.461 * [taylor]: Taking taylor expansion of K in J
1.462 * [backup-simplify]: Simplify K into K
1.462 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.462 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.462 * [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 J 2) in J
1.462 * [taylor]: Taking taylor expansion of J in J
1.462 * [backup-simplify]: Simplify 0 into 0
1.462 * [backup-simplify]: Simplify 1 into 1
1.463 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.463 * [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 U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.463 * [taylor]: Taking taylor expansion of 1 in J
1.463 * [backup-simplify]: Simplify 1 into 1
1.464 * [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)))
1.464 * [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)))
1.464 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.464 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.466 * [backup-simplify]: Simplify (+ 0) into 0
1.466 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.467 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.468 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.469 * [backup-simplify]: Simplify (- 0) into 0
1.469 * [backup-simplify]: Simplify (+ 0 0) into 0
1.470 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.470 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.471 * [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
1.471 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.472 * [backup-simplify]: Simplify (+ 0 0) into 0
1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.472 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.472 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.472 * [taylor]: Taking taylor expansion of 1/4 in U
1.472 * [backup-simplify]: Simplify 1/4 into 1/4
1.472 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
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 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.472 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.472 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.472 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.472 * [taylor]: Taking taylor expansion of 1/2 in U
1.472 * [backup-simplify]: Simplify 1/2 into 1/2
1.472 * [taylor]: Taking taylor expansion of K in U
1.472 * [backup-simplify]: Simplify K into K
1.473 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.473 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.473 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.473 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.473 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.473 * [backup-simplify]: Simplify (- 0) into 0
1.473 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.473 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.473 * [taylor]: Taking taylor expansion of J in U
1.473 * [backup-simplify]: Simplify J into J
1.474 * [backup-simplify]: Simplify (* 1 1) into 1
1.474 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.474 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.474 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.474 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.474 * [taylor]: Taking taylor expansion of 1 in U
1.474 * [backup-simplify]: Simplify 1 into 1
1.475 * [backup-simplify]: Simplify (+ 0 1) into 1
1.475 * [backup-simplify]: Simplify (sqrt 1) into 1
1.476 * [backup-simplify]: Simplify (+ 0 0) into 0
1.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.476 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.477 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.477 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.477 * [taylor]: Taking taylor expansion of 1/4 in U
1.477 * [backup-simplify]: Simplify 1/4 into 1/4
1.477 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.477 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.477 * [taylor]: Taking taylor expansion of U in U
1.477 * [backup-simplify]: Simplify 0 into 0
1.477 * [backup-simplify]: Simplify 1 into 1
1.477 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.477 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.477 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.477 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.477 * [taylor]: Taking taylor expansion of 1/2 in U
1.477 * [backup-simplify]: Simplify 1/2 into 1/2
1.477 * [taylor]: Taking taylor expansion of K in U
1.477 * [backup-simplify]: Simplify K into K
1.477 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.477 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.477 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.477 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.477 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.477 * [backup-simplify]: Simplify (- 0) into 0
1.477 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.477 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.477 * [taylor]: Taking taylor expansion of J in U
1.477 * [backup-simplify]: Simplify J into J
1.478 * [backup-simplify]: Simplify (* 1 1) into 1
1.478 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.478 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.478 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.478 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.478 * [taylor]: Taking taylor expansion of 1 in U
1.478 * [backup-simplify]: Simplify 1 into 1
1.478 * [backup-simplify]: Simplify (+ 0 1) into 1
1.479 * [backup-simplify]: Simplify (sqrt 1) into 1
1.479 * [backup-simplify]: Simplify (+ 0 0) into 0
1.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.479 * [taylor]: Taking taylor expansion of 1 in J
1.479 * [backup-simplify]: Simplify 1 into 1
1.479 * [taylor]: Taking taylor expansion of 0 in J
1.479 * [backup-simplify]: Simplify 0 into 0
1.479 * [taylor]: Taking taylor expansion of 1 in K
1.479 * [backup-simplify]: Simplify 1 into 1
1.479 * [backup-simplify]: Simplify 1 into 1
1.480 * [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)))
1.480 * [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))))
1.481 * [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)))
1.481 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.481 * [taylor]: Taking taylor expansion of 1/8 in J
1.481 * [backup-simplify]: Simplify 1/8 into 1/8
1.481 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.481 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.481 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.481 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.481 * [taylor]: Taking taylor expansion of 1/2 in J
1.481 * [backup-simplify]: Simplify 1/2 into 1/2
1.481 * [taylor]: Taking taylor expansion of K in J
1.481 * [backup-simplify]: Simplify K into K
1.481 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.481 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.481 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.481 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.481 * [taylor]: Taking taylor expansion of J in J
1.481 * [backup-simplify]: Simplify 0 into 0
1.481 * [backup-simplify]: Simplify 1 into 1
1.481 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.482 * [backup-simplify]: Simplify (* 1 1) into 1
1.482 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.482 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.482 * [backup-simplify]: Simplify (+ 0) into 0
1.483 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.484 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.484 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.484 * [backup-simplify]: Simplify (- 0) into 0
1.484 * [backup-simplify]: Simplify (+ 0 0) into 0
1.484 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.485 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.485 * [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
1.485 * [taylor]: Taking taylor expansion of 0 in K
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [taylor]: Taking taylor expansion of 0 in K
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [taylor]: Taking taylor expansion of 0 in K
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify 0 into 0
1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.486 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.486 * [backup-simplify]: Simplify (+ 0) into 0
1.486 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.486 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.487 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.487 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.487 * [backup-simplify]: Simplify (- 0) into 0
1.488 * [backup-simplify]: Simplify (+ 0 0) into 0
1.488 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.488 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
1.488 * [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
1.488 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
1.489 * [backup-simplify]: Simplify (+ 0 0) into 0
1.489 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
1.489 * [taylor]: Taking taylor expansion of 0 in J
1.489 * [backup-simplify]: Simplify 0 into 0
1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.490 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.491 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.491 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.492 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.492 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.492 * [backup-simplify]: Simplify (- 0) into 0
1.492 * [backup-simplify]: Simplify (+ 0 0) into 0
1.493 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.493 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.493 * [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
1.493 * [taylor]: Taking taylor expansion of 0 in K
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [taylor]: Taking taylor expansion of 0 in K
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [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))
1.494 * [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
1.494 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.494 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.494 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.494 * [taylor]: Taking taylor expansion of 1/4 in K
1.494 * [backup-simplify]: Simplify 1/4 into 1/4
1.494 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.494 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.494 * [taylor]: Taking taylor expansion of J in K
1.494 * [backup-simplify]: Simplify J into J
1.494 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.494 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.494 * [taylor]: Taking taylor expansion of U in K
1.494 * [backup-simplify]: Simplify U into U
1.494 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.494 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.494 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.494 * [taylor]: Taking taylor expansion of 1/2 in K
1.494 * [backup-simplify]: Simplify 1/2 into 1/2
1.494 * [taylor]: Taking taylor expansion of K in K
1.494 * [backup-simplify]: Simplify 0 into 0
1.494 * [backup-simplify]: Simplify 1 into 1
1.494 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.495 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.495 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.495 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.495 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.495 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.495 * [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)))
1.495 * [taylor]: Taking taylor expansion of 1 in K
1.495 * [backup-simplify]: Simplify 1 into 1
1.495 * [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))))
1.495 * [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)
1.496 * [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))
1.496 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.496 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.496 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.496 * [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
1.497 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.497 * [backup-simplify]: Simplify (+ 0 0) into 0
1.497 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.497 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.497 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.497 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.497 * [taylor]: Taking taylor expansion of 1/4 in J
1.497 * [backup-simplify]: Simplify 1/4 into 1/4
1.497 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.497 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.497 * [taylor]: Taking taylor expansion of J in J
1.497 * [backup-simplify]: Simplify 0 into 0
1.497 * [backup-simplify]: Simplify 1 into 1
1.497 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.497 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.497 * [taylor]: Taking taylor expansion of U in J
1.497 * [backup-simplify]: Simplify U into U
1.497 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.497 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.497 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.497 * [taylor]: Taking taylor expansion of 1/2 in J
1.497 * [backup-simplify]: Simplify 1/2 into 1/2
1.497 * [taylor]: Taking taylor expansion of K in J
1.497 * [backup-simplify]: Simplify K into K
1.497 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.497 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.498 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.498 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.498 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.498 * [backup-simplify]: Simplify (- 0) into 0
1.498 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.498 * [backup-simplify]: Simplify (* 1 1) into 1
1.498 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.498 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.498 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.498 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.498 * [taylor]: Taking taylor expansion of 1 in J
1.499 * [backup-simplify]: Simplify 1 into 1
1.499 * [backup-simplify]: Simplify (+ 0 1) into 1
1.499 * [backup-simplify]: Simplify (sqrt 1) into 1
1.499 * [backup-simplify]: Simplify (+ 0 0) into 0
1.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.500 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.500 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.500 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.500 * [taylor]: Taking taylor expansion of 1/4 in U
1.500 * [backup-simplify]: Simplify 1/4 into 1/4
1.500 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.500 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.500 * [taylor]: Taking taylor expansion of J in U
1.500 * [backup-simplify]: Simplify J into J
1.500 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.500 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.500 * [taylor]: Taking taylor expansion of U in U
1.500 * [backup-simplify]: Simplify 0 into 0
1.500 * [backup-simplify]: Simplify 1 into 1
1.500 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.500 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.500 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.500 * [taylor]: Taking taylor expansion of 1/2 in U
1.500 * [backup-simplify]: Simplify 1/2 into 1/2
1.500 * [taylor]: Taking taylor expansion of K in U
1.500 * [backup-simplify]: Simplify K into K
1.500 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.500 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.500 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.500 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.500 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.500 * [backup-simplify]: Simplify (- 0) into 0
1.501 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.501 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.501 * [backup-simplify]: Simplify (* 1 1) into 1
1.501 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.501 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.501 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.501 * [taylor]: Taking taylor expansion of 1 in U
1.501 * [backup-simplify]: Simplify 1 into 1
1.501 * [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)))
1.501 * [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)))
1.501 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.502 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.502 * [backup-simplify]: Simplify (+ 0) into 0
1.502 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.502 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.503 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.503 * [backup-simplify]: Simplify (- 0) into 0
1.503 * [backup-simplify]: Simplify (+ 0 0) into 0
1.504 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.504 * [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
1.505 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.505 * [backup-simplify]: Simplify (+ 0 0) into 0
1.506 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.506 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.506 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.506 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.506 * [taylor]: Taking taylor expansion of 1/4 in U
1.506 * [backup-simplify]: Simplify 1/4 into 1/4
1.506 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.506 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.506 * [taylor]: Taking taylor expansion of J in U
1.506 * [backup-simplify]: Simplify J into J
1.506 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.506 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.506 * [taylor]: Taking taylor expansion of U in U
1.506 * [backup-simplify]: Simplify 0 into 0
1.506 * [backup-simplify]: Simplify 1 into 1
1.506 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.506 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.506 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.506 * [taylor]: Taking taylor expansion of 1/2 in U
1.506 * [backup-simplify]: Simplify 1/2 into 1/2
1.506 * [taylor]: Taking taylor expansion of K in U
1.506 * [backup-simplify]: Simplify K into K
1.506 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.506 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.506 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.506 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.507 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.507 * [backup-simplify]: Simplify (- 0) into 0
1.507 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.507 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.507 * [backup-simplify]: Simplify (* 1 1) into 1
1.508 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.508 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.508 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.508 * [taylor]: Taking taylor expansion of 1 in U
1.508 * [backup-simplify]: Simplify 1 into 1
1.508 * [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)))
1.508 * [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)))
1.509 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.509 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.509 * [backup-simplify]: Simplify (+ 0) into 0
1.510 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.510 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.511 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.511 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.512 * [backup-simplify]: Simplify (- 0) into 0
1.512 * [backup-simplify]: Simplify (+ 0 0) into 0
1.512 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.514 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.514 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.515 * [backup-simplify]: Simplify (+ 0 0) into 0
1.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.515 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
1.515 * [taylor]: Taking taylor expansion of 1/2 in J
1.515 * [backup-simplify]: Simplify 1/2 into 1/2
1.515 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
1.515 * [taylor]: Taking taylor expansion of J in J
1.515 * [backup-simplify]: Simplify 0 into 0
1.515 * [backup-simplify]: Simplify 1 into 1
1.515 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.515 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.516 * [taylor]: Taking taylor expansion of 1/2 in J
1.516 * [backup-simplify]: Simplify 1/2 into 1/2
1.516 * [taylor]: Taking taylor expansion of K in J
1.516 * [backup-simplify]: Simplify K into K
1.516 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.516 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.516 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.516 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.516 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.516 * [backup-simplify]: Simplify (- 0) into 0
1.517 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.517 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.517 * [taylor]: Taking taylor expansion of 0 in J
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [taylor]: Taking taylor expansion of 0 in K
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
1.517 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
1.517 * [taylor]: Taking taylor expansion of 1/2 in K
1.517 * [backup-simplify]: Simplify 1/2 into 1/2
1.517 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.517 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.517 * [taylor]: Taking taylor expansion of 1/2 in K
1.517 * [backup-simplify]: Simplify 1/2 into 1/2
1.517 * [taylor]: Taking taylor expansion of K in K
1.517 * [backup-simplify]: Simplify 0 into 0
1.517 * [backup-simplify]: Simplify 1 into 1
1.518 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.518 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.518 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.518 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
1.518 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.519 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.520 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.521 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.521 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.522 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.522 * [backup-simplify]: Simplify (- 0) into 0
1.523 * [backup-simplify]: Simplify (+ 0 0) into 0
1.523 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
1.526 * [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
1.527 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.528 * [backup-simplify]: Simplify (+ 0 1) into 1
1.529 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
1.529 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.529 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.529 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.529 * [taylor]: Taking taylor expansion of 1/2 in J
1.529 * [backup-simplify]: Simplify 1/2 into 1/2
1.529 * [taylor]: Taking taylor expansion of K in J
1.529 * [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))
1.530 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.530 * [taylor]: Taking taylor expansion of J in J
1.530 * [backup-simplify]: Simplify 0 into 0
1.530 * [backup-simplify]: Simplify 1 into 1
1.530 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.530 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.530 * [backup-simplify]: Simplify (- 0) into 0
1.530 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.530 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.531 * [backup-simplify]: Simplify (+ 0) into 0
1.531 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.532 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.532 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.533 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.533 * [backup-simplify]: Simplify (- 0) into 0
1.534 * [backup-simplify]: Simplify (+ 0 0) into 0
1.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.535 * [taylor]: Taking taylor expansion of 0 in K
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [taylor]: Taking taylor expansion of 0 in K
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify 0 into 0
1.535 * [backup-simplify]: Simplify (+ 0) into 0
1.536 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.536 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.537 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.537 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.538 * [backup-simplify]: Simplify (- 0) into 0
1.538 * [backup-simplify]: Simplify (+ 0 0) into 0
1.538 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.539 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.539 * [taylor]: Taking taylor expansion of 0 in K
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.539 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.539 * [backup-simplify]: Simplify 0 into 0
1.540 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.541 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.542 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.542 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.544 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.544 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.545 * [backup-simplify]: Simplify (- 0) into 0
1.545 * [backup-simplify]: Simplify (+ 0 0) into 0
1.546 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.549 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.551 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.551 * [backup-simplify]: Simplify (+ 0 0) into 0
1.551 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
1.551 * [taylor]: Taking taylor expansion of 0 in J
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [taylor]: Taking taylor expansion of 0 in K
1.551 * [backup-simplify]: Simplify 0 into 0
1.551 * [backup-simplify]: Simplify 0 into 0
1.552 * [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)))
1.552 * [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))))))
1.552 * [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
1.552 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.552 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.552 * [taylor]: Taking taylor expansion of 1 in K
1.552 * [backup-simplify]: Simplify 1 into 1
1.552 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.552 * [taylor]: Taking taylor expansion of 1/4 in K
1.552 * [backup-simplify]: Simplify 1/4 into 1/4
1.552 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.553 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.553 * [taylor]: Taking taylor expansion of J in K
1.553 * [backup-simplify]: Simplify J into J
1.553 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.553 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.553 * [taylor]: Taking taylor expansion of -1/2 in K
1.553 * [backup-simplify]: Simplify -1/2 into -1/2
1.553 * [taylor]: Taking taylor expansion of K in K
1.553 * [backup-simplify]: Simplify 0 into 0
1.553 * [backup-simplify]: Simplify 1 into 1
1.553 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.553 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.553 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.554 * [taylor]: Taking taylor expansion of U in K
1.554 * [backup-simplify]: Simplify U into U
1.554 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.554 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.554 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.554 * [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)))
1.555 * [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))))
1.555 * [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)))))
1.555 * [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))))))
1.555 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.556 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.556 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.556 * [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
1.557 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.558 * [backup-simplify]: Simplify (+ 0 0) into 0
1.558 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.558 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.558 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.558 * [taylor]: Taking taylor expansion of 1 in J
1.558 * [backup-simplify]: Simplify 1 into 1
1.558 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.559 * [taylor]: Taking taylor expansion of 1/4 in J
1.559 * [backup-simplify]: Simplify 1/4 into 1/4
1.559 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.559 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.559 * [taylor]: Taking taylor expansion of J in J
1.559 * [backup-simplify]: Simplify 0 into 0
1.559 * [backup-simplify]: Simplify 1 into 1
1.559 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.559 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.559 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.559 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.559 * [taylor]: Taking taylor expansion of -1/2 in J
1.559 * [backup-simplify]: Simplify -1/2 into -1/2
1.559 * [taylor]: Taking taylor expansion of K in J
1.559 * [backup-simplify]: Simplify K into K
1.559 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.559 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.559 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.559 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.559 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.560 * [backup-simplify]: Simplify (- 0) into 0
1.560 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.560 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.560 * [taylor]: Taking taylor expansion of U in J
1.560 * [backup-simplify]: Simplify U into U
1.560 * [backup-simplify]: Simplify (* 1 1) into 1
1.561 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.561 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.561 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.561 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.561 * [backup-simplify]: Simplify (+ 1 0) into 1
1.562 * [backup-simplify]: Simplify (sqrt 1) into 1
1.562 * [backup-simplify]: Simplify (+ 0 0) into 0
1.563 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.563 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.563 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.563 * [taylor]: Taking taylor expansion of 1 in U
1.563 * [backup-simplify]: Simplify 1 into 1
1.563 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.563 * [taylor]: Taking taylor expansion of 1/4 in U
1.563 * [backup-simplify]: Simplify 1/4 into 1/4
1.563 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.563 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.563 * [taylor]: Taking taylor expansion of J in U
1.563 * [backup-simplify]: Simplify J into J
1.563 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.563 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.564 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.564 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.564 * [taylor]: Taking taylor expansion of -1/2 in U
1.564 * [backup-simplify]: Simplify -1/2 into -1/2
1.564 * [taylor]: Taking taylor expansion of K in U
1.564 * [backup-simplify]: Simplify K into K
1.564 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.564 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.564 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.564 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.564 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.564 * [backup-simplify]: Simplify (- 0) into 0
1.565 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.565 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.565 * [taylor]: Taking taylor expansion of U in U
1.565 * [backup-simplify]: Simplify 0 into 0
1.565 * [backup-simplify]: Simplify 1 into 1
1.565 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.565 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.565 * [backup-simplify]: Simplify (* 1 1) into 1
1.565 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.566 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.566 * [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)))
1.566 * [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)))
1.566 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.566 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.568 * [backup-simplify]: Simplify (+ 0) into 0
1.568 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.568 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.569 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.569 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.570 * [backup-simplify]: Simplify (- 0) into 0
1.570 * [backup-simplify]: Simplify (+ 0 0) into 0
1.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.570 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.570 * [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
1.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.571 * [backup-simplify]: Simplify (+ 0 0) into 0
1.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.571 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.571 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.571 * [taylor]: Taking taylor expansion of 1 in U
1.571 * [backup-simplify]: Simplify 1 into 1
1.571 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.571 * [taylor]: Taking taylor expansion of 1/4 in U
1.571 * [backup-simplify]: Simplify 1/4 into 1/4
1.571 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.571 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.571 * [taylor]: Taking taylor expansion of J in U
1.571 * [backup-simplify]: Simplify J into J
1.571 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.571 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.571 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.571 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.571 * [taylor]: Taking taylor expansion of -1/2 in U
1.571 * [backup-simplify]: Simplify -1/2 into -1/2
1.572 * [taylor]: Taking taylor expansion of K in U
1.572 * [backup-simplify]: Simplify K into K
1.572 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.572 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.572 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.572 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.572 * [backup-simplify]: Simplify (- 0) into 0
1.572 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.572 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.572 * [taylor]: Taking taylor expansion of U in U
1.572 * [backup-simplify]: Simplify 0 into 0
1.572 * [backup-simplify]: Simplify 1 into 1
1.572 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.572 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.572 * [backup-simplify]: Simplify (* 1 1) into 1
1.573 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.573 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.573 * [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)))
1.573 * [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)))
1.573 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.573 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.574 * [backup-simplify]: Simplify (+ 0) into 0
1.574 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.575 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.575 * [backup-simplify]: Simplify (- 0) into 0
1.575 * [backup-simplify]: Simplify (+ 0 0) into 0
1.575 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.576 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.576 * [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
1.579 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.579 * [backup-simplify]: Simplify (+ 0 0) into 0
1.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.579 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
1.579 * [taylor]: Taking taylor expansion of 1/2 in J
1.579 * [backup-simplify]: Simplify 1/2 into 1/2
1.579 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
1.579 * [taylor]: Taking taylor expansion of J in J
1.579 * [backup-simplify]: Simplify 0 into 0
1.579 * [backup-simplify]: Simplify 1 into 1
1.579 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.579 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.579 * [taylor]: Taking taylor expansion of -1/2 in J
1.579 * [backup-simplify]: Simplify -1/2 into -1/2
1.579 * [taylor]: Taking taylor expansion of K in J
1.579 * [backup-simplify]: Simplify K into K
1.579 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.580 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.580 * [backup-simplify]: Simplify (- 0) into 0
1.580 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.580 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
1.580 * [taylor]: Taking taylor expansion of 0 in J
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [taylor]: Taking taylor expansion of 0 in K
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
1.580 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
1.580 * [taylor]: Taking taylor expansion of 1/2 in K
1.580 * [backup-simplify]: Simplify 1/2 into 1/2
1.580 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.580 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.580 * [taylor]: Taking taylor expansion of -1/2 in K
1.580 * [backup-simplify]: Simplify -1/2 into -1/2
1.580 * [taylor]: Taking taylor expansion of K in K
1.580 * [backup-simplify]: Simplify 0 into 0
1.580 * [backup-simplify]: Simplify 1 into 1
1.581 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.581 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.581 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
1.581 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
1.581 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
1.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.582 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.583 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.583 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.583 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.584 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.584 * [backup-simplify]: Simplify (- 0) into 0
1.584 * [backup-simplify]: Simplify (+ 0 0) into 0
1.584 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.585 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.585 * [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
1.586 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
1.586 * [backup-simplify]: Simplify (+ 1 0) into 1
1.587 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
1.587 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.587 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.587 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.587 * [taylor]: Taking taylor expansion of -1/2 in J
1.587 * [backup-simplify]: Simplify -1/2 into -1/2
1.587 * [taylor]: Taking taylor expansion of K in J
1.587 * [backup-simplify]: Simplify K into K
1.587 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.587 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.587 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.587 * [taylor]: Taking taylor expansion of J in J
1.587 * [backup-simplify]: Simplify 0 into 0
1.587 * [backup-simplify]: Simplify 1 into 1
1.587 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.587 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.587 * [backup-simplify]: Simplify (- 0) into 0
1.587 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.587 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.588 * [backup-simplify]: Simplify (+ 0) into 0
1.588 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.588 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.588 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.589 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.589 * [backup-simplify]: Simplify (- 0) into 0
1.589 * [backup-simplify]: Simplify (+ 0 0) into 0
1.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.590 * [taylor]: Taking taylor expansion of 0 in K
1.590 * [backup-simplify]: Simplify 0 into 0
1.590 * [backup-simplify]: Simplify 0 into 0
1.590 * [taylor]: Taking taylor expansion of 0 in K
1.590 * [backup-simplify]: Simplify 0 into 0
1.590 * [backup-simplify]: Simplify 0 into 0
1.590 * [backup-simplify]: Simplify (+ 0) into 0
1.590 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.591 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.591 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.591 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.592 * [backup-simplify]: Simplify (- 0) into 0
1.592 * [backup-simplify]: Simplify (+ 0 0) into 0
1.592 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.592 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
1.592 * [taylor]: Taking taylor expansion of 0 in K
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.592 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.592 * [backup-simplify]: Simplify 0 into 0
1.593 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.594 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.595 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.595 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.596 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.596 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.596 * [backup-simplify]: Simplify (- 0) into 0
1.597 * [backup-simplify]: Simplify (+ 0 0) into 0
1.597 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.598 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.598 * [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
1.599 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.599 * [backup-simplify]: Simplify (+ 0 0) into 0
1.599 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.599 * [taylor]: Taking taylor expansion of 0 in J
1.599 * [backup-simplify]: Simplify 0 into 0
1.599 * [taylor]: Taking taylor expansion of 0 in K
1.599 * [backup-simplify]: Simplify 0 into 0
1.599 * [backup-simplify]: Simplify 0 into 0
1.600 * [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)))
1.600 * * * * [progress]: [ 2 / 4 ] generating series at (2)
1.600 * [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))))
1.600 * [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
1.600 * [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
1.600 * [taylor]: Taking taylor expansion of -2 in U
1.600 * [backup-simplify]: Simplify -2 into -2
1.600 * [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
1.600 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.600 * [taylor]: Taking taylor expansion of 1/2 in U
1.600 * [backup-simplify]: Simplify 1/2 into 1/2
1.600 * [taylor]: Taking taylor expansion of K in U
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 * [taylor]: Taking taylor expansion of J in U
1.600 * [backup-simplify]: Simplify J into J
1.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
1.600 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
1.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
1.600 * [taylor]: Taking taylor expansion of 1/4 in U
1.600 * [backup-simplify]: Simplify 1/4 into 1/4
1.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
1.600 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.600 * [taylor]: Taking taylor expansion of U in U
1.600 * [backup-simplify]: Simplify 0 into 0
1.600 * [backup-simplify]: Simplify 1 into 1
1.600 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
1.600 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
1.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.600 * [taylor]: Taking taylor expansion of 1/2 in U
1.600 * [backup-simplify]: Simplify 1/2 into 1/2
1.600 * [taylor]: Taking taylor expansion of K in U
1.601 * [backup-simplify]: Simplify K into K
1.601 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.601 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.601 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.601 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.601 * [taylor]: Taking taylor expansion of J in U
1.601 * [backup-simplify]: Simplify J into J
1.601 * [backup-simplify]: Simplify (* 1 1) into 1
1.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.602 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.602 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
1.602 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
1.602 * [taylor]: Taking taylor expansion of 1 in U
1.602 * [backup-simplify]: Simplify 1 into 1
1.602 * [backup-simplify]: Simplify (+ 0 1) into 1
1.602 * [backup-simplify]: Simplify (sqrt 1) into 1
1.603 * [backup-simplify]: Simplify (+ 0 0) into 0
1.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.603 * [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
1.603 * [taylor]: Taking taylor expansion of -2 in K
1.603 * [backup-simplify]: Simplify -2 into -2
1.603 * [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
1.603 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.603 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.603 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.603 * [taylor]: Taking taylor expansion of 1/2 in K
1.603 * [backup-simplify]: Simplify 1/2 into 1/2
1.603 * [taylor]: Taking taylor expansion of K in K
1.603 * [backup-simplify]: Simplify 0 into 0
1.603 * [backup-simplify]: Simplify 1 into 1
1.604 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.604 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.604 * [taylor]: Taking taylor expansion of J in K
1.604 * [backup-simplify]: Simplify J into J
1.604 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
1.604 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
1.604 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
1.604 * [taylor]: Taking taylor expansion of 1/4 in K
1.604 * [backup-simplify]: Simplify 1/4 into 1/4
1.604 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
1.604 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.604 * [taylor]: Taking taylor expansion of U in K
1.604 * [backup-simplify]: Simplify U into U
1.604 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
1.604 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.604 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.605 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.605 * [taylor]: Taking taylor expansion of 1/2 in K
1.605 * [backup-simplify]: Simplify 1/2 into 1/2
1.605 * [taylor]: Taking taylor expansion of K in K
1.605 * [backup-simplify]: Simplify 0 into 0
1.605 * [backup-simplify]: Simplify 1 into 1
1.605 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.606 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.606 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.606 * [taylor]: Taking taylor expansion of J in K
1.606 * [backup-simplify]: Simplify J into J
1.606 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.607 * [backup-simplify]: Simplify (* 1 1) into 1
1.607 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.607 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
1.607 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
1.607 * [taylor]: Taking taylor expansion of 1 in K
1.607 * [backup-simplify]: Simplify 1 into 1
1.607 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
1.608 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
1.608 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
1.608 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.608 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.609 * [backup-simplify]: Simplify (+ 0) into 0
1.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
1.610 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
1.611 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
1.612 * [backup-simplify]: Simplify (+ 0 0) into 0
1.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
1.612 * [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
1.612 * [taylor]: Taking taylor expansion of -2 in J
1.612 * [backup-simplify]: Simplify -2 into -2
1.612 * [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
1.612 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.612 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.612 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.612 * [taylor]: Taking taylor expansion of 1/2 in J
1.612 * [backup-simplify]: Simplify 1/2 into 1/2
1.612 * [taylor]: Taking taylor expansion of K in J
1.612 * [backup-simplify]: Simplify K into K
1.612 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.612 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.613 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.613 * [taylor]: Taking taylor expansion of J in J
1.613 * [backup-simplify]: Simplify 0 into 0
1.613 * [backup-simplify]: Simplify 1 into 1
1.613 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.613 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.613 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.613 * [taylor]: Taking taylor expansion of 1/4 in J
1.613 * [backup-simplify]: Simplify 1/4 into 1/4
1.613 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.613 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.613 * [taylor]: Taking taylor expansion of U in J
1.613 * [backup-simplify]: Simplify U into U
1.613 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.613 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.613 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.613 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.613 * [taylor]: Taking taylor expansion of 1/2 in J
1.613 * [backup-simplify]: Simplify 1/2 into 1/2
1.613 * [taylor]: Taking taylor expansion of K in J
1.613 * [backup-simplify]: Simplify K into K
1.613 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.613 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.613 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.613 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.614 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.614 * [backup-simplify]: Simplify (- 0) into 0
1.614 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.614 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.614 * [taylor]: Taking taylor expansion of J in J
1.614 * [backup-simplify]: Simplify 0 into 0
1.614 * [backup-simplify]: Simplify 1 into 1
1.614 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.615 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.615 * [backup-simplify]: Simplify (* 1 1) into 1
1.615 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.615 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.615 * [taylor]: Taking taylor expansion of 1 in J
1.615 * [backup-simplify]: Simplify 1 into 1
1.616 * [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)))
1.616 * [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)))
1.616 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.616 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.617 * [backup-simplify]: Simplify (+ 0) into 0
1.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.618 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.618 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.619 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.619 * [backup-simplify]: Simplify (- 0) into 0
1.619 * [backup-simplify]: Simplify (+ 0 0) into 0
1.619 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.620 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.620 * [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
1.620 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.621 * [backup-simplify]: Simplify (+ 0 0) into 0
1.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.621 * [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
1.621 * [taylor]: Taking taylor expansion of -2 in J
1.621 * [backup-simplify]: Simplify -2 into -2
1.621 * [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
1.621 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.621 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.621 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.621 * [taylor]: Taking taylor expansion of 1/2 in J
1.621 * [backup-simplify]: Simplify 1/2 into 1/2
1.621 * [taylor]: Taking taylor expansion of K in J
1.621 * [backup-simplify]: Simplify K into K
1.621 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.621 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.621 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.621 * [taylor]: Taking taylor expansion of J in J
1.621 * [backup-simplify]: Simplify 0 into 0
1.621 * [backup-simplify]: Simplify 1 into 1
1.621 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
1.621 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
1.621 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
1.621 * [taylor]: Taking taylor expansion of 1/4 in J
1.621 * [backup-simplify]: Simplify 1/4 into 1/4
1.621 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.621 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.621 * [taylor]: Taking taylor expansion of U in J
1.621 * [backup-simplify]: Simplify U into U
1.621 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.621 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.621 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.621 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.621 * [taylor]: Taking taylor expansion of 1/2 in J
1.621 * [backup-simplify]: Simplify 1/2 into 1/2
1.621 * [taylor]: Taking taylor expansion of K in J
1.621 * [backup-simplify]: Simplify K into K
1.621 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.622 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.622 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.622 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.622 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.622 * [backup-simplify]: Simplify (- 0) into 0
1.622 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.622 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.622 * [taylor]: Taking taylor expansion of J in J
1.622 * [backup-simplify]: Simplify 0 into 0
1.622 * [backup-simplify]: Simplify 1 into 1
1.622 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.622 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.622 * [backup-simplify]: Simplify (* 1 1) into 1
1.623 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.623 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
1.623 * [taylor]: Taking taylor expansion of 1 in J
1.623 * [backup-simplify]: Simplify 1 into 1
1.623 * [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)))
1.623 * [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)))
1.623 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.623 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.624 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.624 * [backup-simplify]: Simplify (+ 0) into 0
1.624 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.624 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.625 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.625 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.625 * [backup-simplify]: Simplify (- 0) into 0
1.626 * [backup-simplify]: Simplify (+ 0 0) into 0
1.626 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.626 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.626 * [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
1.627 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
1.627 * [backup-simplify]: Simplify (+ 0 0) into 0
1.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
1.627 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.627 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.628 * [backup-simplify]: Simplify (- 0) into 0
1.628 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.628 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.628 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
1.628 * [backup-simplify]: Simplify (* -2 0) into 0
1.628 * [taylor]: Taking taylor expansion of 0 in K
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [taylor]: Taking taylor expansion of 0 in U
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify 0 into 0
1.628 * [backup-simplify]: Simplify (+ 0) into 0
1.629 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.629 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.630 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.630 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.630 * [backup-simplify]: Simplify (- 0) into 0
1.631 * [backup-simplify]: Simplify (+ 0 0) into 0
1.631 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.631 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
1.632 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
1.632 * [taylor]: Taking taylor expansion of (- U) in K
1.632 * [taylor]: Taking taylor expansion of U in K
1.632 * [backup-simplify]: Simplify U into U
1.632 * [backup-simplify]: Simplify (- U) into (- U)
1.632 * [taylor]: Taking taylor expansion of (- U) in U
1.632 * [taylor]: Taking taylor expansion of U in U
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 1 into 1
1.632 * [backup-simplify]: Simplify (- 0) into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [taylor]: Taking taylor expansion of 0 in U
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify 0 into 0
1.632 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
1.633 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.633 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.634 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.634 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.635 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.635 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.635 * [backup-simplify]: Simplify (- 0) into 0
1.636 * [backup-simplify]: Simplify (+ 0 0) into 0
1.636 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.636 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.637 * [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
1.637 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
1.638 * [backup-simplify]: Simplify (+ 0 1) into 1
1.638 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
1.639 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.639 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.640 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.640 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.640 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.641 * [backup-simplify]: Simplify (- 0) into 0
1.641 * [backup-simplify]: Simplify (+ 0 0) into 0
1.641 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.642 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
1.642 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
1.642 * [taylor]: Taking taylor expansion of 0 in K
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [taylor]: Taking taylor expansion of 0 in U
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify 0 into 0
1.642 * [backup-simplify]: Simplify (- 0) into 0
1.643 * [taylor]: Taking taylor expansion of 0 in U
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [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)))
1.643 * [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
1.643 * [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
1.643 * [taylor]: Taking taylor expansion of -2 in U
1.643 * [backup-simplify]: Simplify -2 into -2
1.643 * [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
1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
1.643 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
1.643 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
1.643 * [taylor]: Taking taylor expansion of 1/4 in U
1.643 * [backup-simplify]: Simplify 1/4 into 1/4
1.643 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
1.643 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.643 * [taylor]: Taking taylor expansion of J in U
1.643 * [backup-simplify]: Simplify J into J
1.643 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
1.643 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.643 * [taylor]: Taking taylor expansion of U in U
1.643 * [backup-simplify]: Simplify 0 into 0
1.643 * [backup-simplify]: Simplify 1 into 1
1.643 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
1.643 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.643 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.643 * [taylor]: Taking taylor expansion of 1/2 in U
1.643 * [backup-simplify]: Simplify 1/2 into 1/2
1.643 * [taylor]: Taking taylor expansion of K in U
1.643 * [backup-simplify]: Simplify K into K
1.643 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.643 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.643 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.643 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.644 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.644 * [backup-simplify]: Simplify (- 0) into 0
1.644 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.644 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.644 * [backup-simplify]: Simplify (* 1 1) into 1
1.644 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.644 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
1.644 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
1.644 * [taylor]: Taking taylor expansion of 1 in U
1.644 * [backup-simplify]: Simplify 1 into 1
1.645 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.645 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
1.645 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.645 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.645 * [backup-simplify]: Simplify (+ 0) into 0
1.645 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.646 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.646 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.646 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.647 * [backup-simplify]: Simplify (- 0) into 0
1.647 * [backup-simplify]: Simplify (+ 0 0) into 0
1.647 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.647 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.648 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.648 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
1.648 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
1.648 * [backup-simplify]: Simplify (+ 0 0) into 0
1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
1.649 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
1.649 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.649 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.649 * [taylor]: Taking taylor expansion of 1/2 in U
1.649 * [backup-simplify]: Simplify 1/2 into 1/2
1.649 * [taylor]: Taking taylor expansion of K in U
1.649 * [backup-simplify]: Simplify K into K
1.649 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.649 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.649 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.649 * [taylor]: Taking taylor expansion of J in U
1.649 * [backup-simplify]: Simplify J into J
1.649 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.649 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.649 * [backup-simplify]: Simplify (- 0) into 0
1.649 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.649 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.649 * [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
1.649 * [taylor]: Taking taylor expansion of -2 in K
1.649 * [backup-simplify]: Simplify -2 into -2
1.649 * [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
1.649 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
1.649 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
1.649 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
1.649 * [taylor]: Taking taylor expansion of 1/4 in K
1.650 * [backup-simplify]: Simplify 1/4 into 1/4
1.650 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
1.650 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.650 * [taylor]: Taking taylor expansion of J in K
1.650 * [backup-simplify]: Simplify J into J
1.650 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
1.650 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.650 * [taylor]: Taking taylor expansion of U in K
1.650 * [backup-simplify]: Simplify U into U
1.650 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.650 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.650 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.650 * [taylor]: Taking taylor expansion of 1/2 in K
1.650 * [backup-simplify]: Simplify 1/2 into 1/2
1.650 * [taylor]: Taking taylor expansion of K in K
1.650 * [backup-simplify]: Simplify 0 into 0
1.650 * [backup-simplify]: Simplify 1 into 1
1.650 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.650 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.650 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.650 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.650 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.650 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.650 * [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)))
1.650 * [taylor]: Taking taylor expansion of 1 in K
1.650 * [backup-simplify]: Simplify 1 into 1
1.651 * [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))))
1.651 * [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)
1.651 * [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))
1.651 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.651 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.651 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.651 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.652 * [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
1.652 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.652 * [backup-simplify]: Simplify (+ 0 0) into 0
1.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
1.653 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.653 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.653 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.653 * [taylor]: Taking taylor expansion of 1/2 in K
1.653 * [backup-simplify]: Simplify 1/2 into 1/2
1.653 * [taylor]: Taking taylor expansion of K in K
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.653 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.653 * [taylor]: Taking taylor expansion of J in K
1.653 * [backup-simplify]: Simplify J into J
1.653 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.653 * [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
1.653 * [taylor]: Taking taylor expansion of -2 in J
1.653 * [backup-simplify]: Simplify -2 into -2
1.653 * [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
1.653 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.653 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.653 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.653 * [taylor]: Taking taylor expansion of 1/4 in J
1.653 * [backup-simplify]: Simplify 1/4 into 1/4
1.653 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.653 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.653 * [taylor]: Taking taylor expansion of J in J
1.653 * [backup-simplify]: Simplify 0 into 0
1.653 * [backup-simplify]: Simplify 1 into 1
1.653 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.653 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.653 * [taylor]: Taking taylor expansion of U in J
1.653 * [backup-simplify]: Simplify U into U
1.653 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.653 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.653 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.654 * [taylor]: Taking taylor expansion of 1/2 in J
1.654 * [backup-simplify]: Simplify 1/2 into 1/2
1.654 * [taylor]: Taking taylor expansion of K in J
1.654 * [backup-simplify]: Simplify K into K
1.654 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.654 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.654 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.654 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.654 * [backup-simplify]: Simplify (- 0) into 0
1.654 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.654 * [backup-simplify]: Simplify (* 1 1) into 1
1.654 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.655 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.655 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.655 * [taylor]: Taking taylor expansion of 1 in J
1.655 * [backup-simplify]: Simplify 1 into 1
1.655 * [backup-simplify]: Simplify (+ 0 1) into 1
1.655 * [backup-simplify]: Simplify (sqrt 1) into 1
1.655 * [backup-simplify]: Simplify (+ 0 0) into 0
1.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.656 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.656 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.656 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.656 * [taylor]: Taking taylor expansion of 1/2 in J
1.656 * [backup-simplify]: Simplify 1/2 into 1/2
1.656 * [taylor]: Taking taylor expansion of K in J
1.656 * [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 J
1.656 * [backup-simplify]: Simplify 0 into 0
1.656 * [backup-simplify]: Simplify 1 into 1
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
1.657 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.657 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.657 * [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
1.657 * [taylor]: Taking taylor expansion of -2 in J
1.657 * [backup-simplify]: Simplify -2 into -2
1.657 * [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
1.657 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
1.657 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
1.657 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
1.657 * [taylor]: Taking taylor expansion of 1/4 in J
1.657 * [backup-simplify]: Simplify 1/4 into 1/4
1.657 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
1.657 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.657 * [taylor]: Taking taylor expansion of J in J
1.657 * [backup-simplify]: Simplify 0 into 0
1.657 * [backup-simplify]: Simplify 1 into 1
1.657 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
1.657 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.657 * [taylor]: Taking taylor expansion of U in J
1.657 * [backup-simplify]: Simplify U into U
1.657 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
1.657 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.657 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.657 * [taylor]: Taking taylor expansion of 1/2 in J
1.657 * [backup-simplify]: Simplify 1/2 into 1/2
1.657 * [taylor]: Taking taylor expansion of K in J
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
1.658 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.658 * [backup-simplify]: Simplify (* 1 1) into 1
1.658 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.658 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.658 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
1.658 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
1.658 * [taylor]: Taking taylor expansion of 1 in J
1.658 * [backup-simplify]: Simplify 1 into 1
1.658 * [backup-simplify]: Simplify (+ 0 1) into 1
1.659 * [backup-simplify]: Simplify (sqrt 1) into 1
1.659 * [backup-simplify]: Simplify (+ 0 0) into 0
1.659 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.659 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.659 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.659 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.659 * [taylor]: Taking taylor expansion of 1/2 in J
1.659 * [backup-simplify]: Simplify 1/2 into 1/2
1.659 * [taylor]: Taking taylor expansion of K in J
1.659 * [backup-simplify]: Simplify K into K
1.659 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.660 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.660 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.660 * [taylor]: Taking taylor expansion of J in J
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.660 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.660 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.660 * [backup-simplify]: Simplify (- 0) into 0
1.660 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.660 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.660 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
1.660 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.660 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
1.660 * [taylor]: Taking taylor expansion of -2 in K
1.660 * [backup-simplify]: Simplify -2 into -2
1.660 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.660 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.660 * [taylor]: Taking taylor expansion of 1/2 in K
1.660 * [backup-simplify]: Simplify 1/2 into 1/2
1.660 * [taylor]: Taking taylor expansion of K in K
1.660 * [backup-simplify]: Simplify 0 into 0
1.660 * [backup-simplify]: Simplify 1 into 1
1.661 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.661 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.661 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.661 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
1.661 * [taylor]: Taking taylor expansion of -2 in U
1.661 * [backup-simplify]: Simplify -2 into -2
1.661 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.661 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.661 * [taylor]: Taking taylor expansion of 1/2 in U
1.661 * [backup-simplify]: Simplify 1/2 into 1/2
1.661 * [taylor]: Taking taylor expansion of K in U
1.661 * [backup-simplify]: Simplify K into K
1.661 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.661 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.661 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.661 * [backup-simplify]: Simplify (+ 0) into 0
1.662 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.662 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.662 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.662 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.663 * [backup-simplify]: Simplify (- 0) into 0
1.663 * [backup-simplify]: Simplify (+ 0 0) into 0
1.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
1.664 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.664 * [taylor]: Taking taylor expansion of 0 in K
1.664 * [backup-simplify]: Simplify 0 into 0
1.664 * [taylor]: Taking taylor expansion of 0 in U
1.664 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.665 * [taylor]: Taking taylor expansion of 0 in U
1.665 * [backup-simplify]: Simplify 0 into 0
1.665 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.665 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.665 * [backup-simplify]: Simplify (- 0) into 0
1.665 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.665 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.665 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.666 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.666 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.666 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.667 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.667 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.667 * [backup-simplify]: Simplify (- 0) into 0
1.667 * [backup-simplify]: Simplify (+ 0 0) into 0
1.668 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.668 * [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)))
1.669 * [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))))
1.669 * [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)))
1.670 * [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)))))
1.671 * [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))))))
1.671 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
1.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
1.671 * [taylor]: Taking taylor expansion of 1/4 in K
1.671 * [backup-simplify]: Simplify 1/4 into 1/4
1.671 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
1.671 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
1.671 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.671 * [taylor]: Taking taylor expansion of U in K
1.671 * [backup-simplify]: Simplify U into U
1.671 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.671 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.671 * [taylor]: Taking taylor expansion of 1/2 in K
1.671 * [backup-simplify]: Simplify 1/2 into 1/2
1.671 * [taylor]: Taking taylor expansion of K in K
1.671 * [backup-simplify]: Simplify 0 into 0
1.671 * [backup-simplify]: Simplify 1 into 1
1.671 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.671 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.671 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.671 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
1.671 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
1.671 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
1.672 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
1.672 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
1.672 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
1.672 * [taylor]: Taking taylor expansion of 1/4 in U
1.672 * [backup-simplify]: Simplify 1/4 into 1/4
1.672 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
1.672 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
1.672 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.672 * [taylor]: Taking taylor expansion of U in U
1.672 * [backup-simplify]: Simplify 0 into 0
1.672 * [backup-simplify]: Simplify 1 into 1
1.672 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.672 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.672 * [taylor]: Taking taylor expansion of 1/2 in U
1.672 * [backup-simplify]: Simplify 1/2 into 1/2
1.672 * [taylor]: Taking taylor expansion of K in U
1.672 * [backup-simplify]: Simplify K into K
1.672 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.672 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.672 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.672 * [backup-simplify]: Simplify (* 1 1) into 1
1.672 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.672 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.672 * [backup-simplify]: Simplify (- 0) into 0
1.673 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.673 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
1.673 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
1.673 * [backup-simplify]: Simplify (+ 0) into 0
1.673 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.673 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.674 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.674 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.674 * [backup-simplify]: Simplify (- 0) into 0
1.675 * [backup-simplify]: Simplify (+ 0 0) into 0
1.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
1.675 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.676 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
1.676 * [backup-simplify]: Simplify (- 0) into 0
1.676 * [backup-simplify]: Simplify 0 into 0
1.676 * [taylor]: Taking taylor expansion of 0 in U
1.676 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.679 * [taylor]: Taking taylor expansion of 0 in U
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify 0 into 0
1.679 * [backup-simplify]: Simplify (+ 0) into 0
1.680 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.680 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.681 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.682 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.682 * [backup-simplify]: Simplify (- 0) into 0
1.683 * [backup-simplify]: Simplify (+ 0 0) into 0
1.683 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.683 * [backup-simplify]: Simplify 0 into 0
1.684 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.685 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.685 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.687 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.688 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.688 * [backup-simplify]: Simplify (- 0) into 0
1.689 * [backup-simplify]: Simplify (+ 0 0) into 0
1.691 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
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
1.694 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.694 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.695 * [backup-simplify]: Simplify (- 0) into 0
1.695 * [backup-simplify]: Simplify (+ 0 0) into 0
1.695 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.695 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.695 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
1.696 * [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
1.697 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
1.697 * [backup-simplify]: Simplify (+ 0 0) into 0
1.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
1.699 * [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
1.700 * [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
1.700 * [taylor]: Taking taylor expansion of 0 in K
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [taylor]: Taking taylor expansion of 0 in U
1.700 * [backup-simplify]: Simplify 0 into 0
1.700 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.700 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.700 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
1.701 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
1.701 * [backup-simplify]: Simplify (- 0) into 0
1.701 * [taylor]: Taking taylor expansion of 0 in U
1.701 * [backup-simplify]: Simplify 0 into 0
1.701 * [taylor]: Taking taylor expansion of 0 in U
1.701 * [backup-simplify]: Simplify 0 into 0
1.703 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.703 * [taylor]: Taking taylor expansion of 0 in U
1.703 * [backup-simplify]: Simplify 0 into 0
1.704 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.704 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.704 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.705 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.706 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.706 * [backup-simplify]: Simplify (- 0) into 0
1.706 * [backup-simplify]: Simplify (+ 0 0) into 0
1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.708 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
1.709 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
1.710 * [backup-simplify]: Simplify (- 0) into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify 0 into 0
1.710 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
1.710 * [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))))))))
1.711 * [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
1.711 * [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
1.711 * [taylor]: Taking taylor expansion of 2 in U
1.711 * [backup-simplify]: Simplify 2 into 2
1.711 * [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
1.711 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
1.711 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.711 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.711 * [taylor]: Taking taylor expansion of -1/2 in U
1.711 * [backup-simplify]: Simplify -1/2 into -1/2
1.711 * [taylor]: Taking taylor expansion of K in U
1.711 * [backup-simplify]: Simplify K into K
1.711 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.711 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.711 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.711 * [taylor]: Taking taylor expansion of J in U
1.711 * [backup-simplify]: Simplify J into J
1.711 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.711 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.712 * [backup-simplify]: Simplify (- 0) into 0
1.712 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.712 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.712 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
1.712 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
1.712 * [taylor]: Taking taylor expansion of 1 in U
1.712 * [backup-simplify]: Simplify 1 into 1
1.712 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
1.712 * [taylor]: Taking taylor expansion of 1/4 in U
1.712 * [backup-simplify]: Simplify 1/4 into 1/4
1.712 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
1.712 * [taylor]: Taking taylor expansion of (pow J 2) in U
1.712 * [taylor]: Taking taylor expansion of J in U
1.712 * [backup-simplify]: Simplify J into J
1.712 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
1.712 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
1.712 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.712 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.712 * [taylor]: Taking taylor expansion of -1/2 in U
1.712 * [backup-simplify]: Simplify -1/2 into -1/2
1.712 * [taylor]: Taking taylor expansion of K in U
1.712 * [backup-simplify]: Simplify K into K
1.712 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.712 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.712 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.713 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.713 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.713 * [backup-simplify]: Simplify (- 0) into 0
1.713 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.713 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.713 * [taylor]: Taking taylor expansion of U in U
1.713 * [backup-simplify]: Simplify 0 into 0
1.713 * [backup-simplify]: Simplify 1 into 1
1.713 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.714 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.714 * [backup-simplify]: Simplify (* 1 1) into 1
1.714 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
1.714 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
1.714 * [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)))
1.715 * [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)))
1.715 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.715 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.716 * [backup-simplify]: Simplify (+ 0) into 0
1.717 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.717 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.718 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.718 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.719 * [backup-simplify]: Simplify (- 0) into 0
1.719 * [backup-simplify]: Simplify (+ 0 0) into 0
1.719 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.720 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
1.720 * [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
1.721 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
1.721 * [backup-simplify]: Simplify (+ 0 0) into 0
1.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
1.722 * [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
1.722 * [taylor]: Taking taylor expansion of 2 in K
1.722 * [backup-simplify]: Simplify 2 into 2
1.722 * [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
1.722 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.722 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.722 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.722 * [taylor]: Taking taylor expansion of -1/2 in K
1.722 * [backup-simplify]: Simplify -1/2 into -1/2
1.722 * [taylor]: Taking taylor expansion of K in K
1.722 * [backup-simplify]: Simplify 0 into 0
1.722 * [backup-simplify]: Simplify 1 into 1
1.722 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.722 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.722 * [taylor]: Taking taylor expansion of J in K
1.722 * [backup-simplify]: Simplify J into J
1.722 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.723 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
1.723 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
1.723 * [taylor]: Taking taylor expansion of 1 in K
1.723 * [backup-simplify]: Simplify 1 into 1
1.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
1.723 * [taylor]: Taking taylor expansion of 1/4 in K
1.723 * [backup-simplify]: Simplify 1/4 into 1/4
1.723 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
1.723 * [taylor]: Taking taylor expansion of (pow J 2) in K
1.723 * [taylor]: Taking taylor expansion of J in K
1.723 * [backup-simplify]: Simplify J into J
1.723 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
1.723 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.723 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.723 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.723 * [taylor]: Taking taylor expansion of -1/2 in K
1.723 * [backup-simplify]: Simplify -1/2 into -1/2
1.723 * [taylor]: Taking taylor expansion of K in K
1.723 * [backup-simplify]: Simplify 0 into 0
1.723 * [backup-simplify]: Simplify 1 into 1
1.723 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.724 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.724 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.724 * [taylor]: Taking taylor expansion of U in K
1.724 * [backup-simplify]: Simplify U into U
1.724 * [backup-simplify]: Simplify (* J J) into (pow J 2)
1.724 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.724 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.724 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.724 * [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)))
1.725 * [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))))
1.725 * [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)))))
1.725 * [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))))))
1.725 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
1.725 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.726 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.726 * [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
1.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.728 * [backup-simplify]: Simplify (+ 0 0) into 0
1.729 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
1.729 * [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
1.729 * [taylor]: Taking taylor expansion of 2 in J
1.729 * [backup-simplify]: Simplify 2 into 2
1.729 * [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
1.729 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.729 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.729 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.729 * [taylor]: Taking taylor expansion of -1/2 in J
1.729 * [backup-simplify]: Simplify -1/2 into -1/2
1.729 * [taylor]: Taking taylor expansion of K in J
1.729 * [backup-simplify]: Simplify K into K
1.729 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.729 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.729 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.729 * [taylor]: Taking taylor expansion of J in J
1.729 * [backup-simplify]: Simplify 0 into 0
1.729 * [backup-simplify]: Simplify 1 into 1
1.730 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.730 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.730 * [backup-simplify]: Simplify (- 0) into 0
1.730 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.730 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.730 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.731 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.731 * [taylor]: Taking taylor expansion of 1 in J
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.731 * [taylor]: Taking taylor expansion of 1/4 in J
1.731 * [backup-simplify]: Simplify 1/4 into 1/4
1.731 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.731 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.731 * [taylor]: Taking taylor expansion of J in J
1.731 * [backup-simplify]: Simplify 0 into 0
1.731 * [backup-simplify]: Simplify 1 into 1
1.731 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.731 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.731 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.731 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.731 * [taylor]: Taking taylor expansion of -1/2 in J
1.731 * [backup-simplify]: Simplify -1/2 into -1/2
1.731 * [taylor]: Taking taylor expansion of K in J
1.731 * [backup-simplify]: Simplify K into K
1.731 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.731 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.731 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.731 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.731 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.732 * [backup-simplify]: Simplify (- 0) into 0
1.732 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.732 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.732 * [taylor]: Taking taylor expansion of U in J
1.732 * [backup-simplify]: Simplify U into U
1.732 * [backup-simplify]: Simplify (* 1 1) into 1
1.733 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.733 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.733 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.733 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.733 * [backup-simplify]: Simplify (+ 1 0) into 1
1.734 * [backup-simplify]: Simplify (sqrt 1) into 1
1.734 * [backup-simplify]: Simplify (+ 0 0) into 0
1.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.735 * [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
1.735 * [taylor]: Taking taylor expansion of 2 in J
1.735 * [backup-simplify]: Simplify 2 into 2
1.735 * [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
1.735 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.735 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.735 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.735 * [taylor]: Taking taylor expansion of -1/2 in J
1.735 * [backup-simplify]: Simplify -1/2 into -1/2
1.735 * [taylor]: Taking taylor expansion of K in J
1.735 * [backup-simplify]: Simplify K into K
1.735 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.735 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.735 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.735 * [taylor]: Taking taylor expansion of J in J
1.735 * [backup-simplify]: Simplify 0 into 0
1.735 * [backup-simplify]: Simplify 1 into 1
1.735 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.735 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.736 * [backup-simplify]: Simplify (- 0) into 0
1.736 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.736 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.736 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
1.736 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
1.736 * [taylor]: Taking taylor expansion of 1 in J
1.736 * [backup-simplify]: Simplify 1 into 1
1.736 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
1.736 * [taylor]: Taking taylor expansion of 1/4 in J
1.736 * [backup-simplify]: Simplify 1/4 into 1/4
1.736 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
1.736 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.736 * [taylor]: Taking taylor expansion of J in J
1.736 * [backup-simplify]: Simplify 0 into 0
1.736 * [backup-simplify]: Simplify 1 into 1
1.736 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
1.736 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.736 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.736 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.736 * [taylor]: Taking taylor expansion of -1/2 in J
1.736 * [backup-simplify]: Simplify -1/2 into -1/2
1.736 * [taylor]: Taking taylor expansion of K in J
1.736 * [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 * [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
1.737 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.737 * [taylor]: Taking taylor expansion of (pow U 2) in J
1.737 * [taylor]: Taking taylor expansion of U in J
1.737 * [backup-simplify]: Simplify U into U
1.738 * [backup-simplify]: Simplify (* 1 1) into 1
1.738 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.738 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.738 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
1.738 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
1.739 * [backup-simplify]: Simplify (+ 1 0) into 1
1.739 * [backup-simplify]: Simplify (sqrt 1) into 1
1.739 * [backup-simplify]: Simplify (+ 0 0) into 0
1.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
1.740 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.740 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.740 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
1.740 * [taylor]: Taking taylor expansion of 2 in K
1.740 * [backup-simplify]: Simplify 2 into 2
1.740 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.740 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.740 * [taylor]: Taking taylor expansion of -1/2 in K
1.740 * [backup-simplify]: Simplify -1/2 into -1/2
1.740 * [taylor]: Taking taylor expansion of K in K
1.740 * [backup-simplify]: Simplify 0 into 0
1.740 * [backup-simplify]: Simplify 1 into 1
1.741 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.741 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.741 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.741 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
1.741 * [taylor]: Taking taylor expansion of 2 in U
1.741 * [backup-simplify]: Simplify 2 into 2
1.741 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.741 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.742 * [taylor]: Taking taylor expansion of -1/2 in U
1.742 * [backup-simplify]: Simplify -1/2 into -1/2
1.742 * [taylor]: Taking taylor expansion of K in U
1.742 * [backup-simplify]: Simplify K into K
1.742 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.742 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.742 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.742 * [backup-simplify]: Simplify (+ 0) into 0
1.743 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.743 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.744 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.744 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.744 * [backup-simplify]: Simplify (- 0) into 0
1.745 * [backup-simplify]: Simplify (+ 0 0) into 0
1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.747 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.747 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.747 * [taylor]: Taking taylor expansion of 0 in K
1.747 * [backup-simplify]: Simplify 0 into 0
1.747 * [taylor]: Taking taylor expansion of 0 in U
1.747 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.748 * [taylor]: Taking taylor expansion of 0 in U
1.748 * [backup-simplify]: Simplify 0 into 0
1.748 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.748 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.748 * [backup-simplify]: Simplify (- 0) into 0
1.748 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.748 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.749 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.749 * [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)))
1.749 * [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))))
1.750 * [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)))
1.751 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.752 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.752 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.753 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.753 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.754 * [backup-simplify]: Simplify (- 0) into 0
1.754 * [backup-simplify]: Simplify (+ 0 0) into 0
1.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.756 * [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))))
1.757 * [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))))
1.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
1.757 * [taylor]: Taking taylor expansion of 1/4 in K
1.757 * [backup-simplify]: Simplify 1/4 into 1/4
1.757 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
1.757 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
1.757 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.757 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.757 * [taylor]: Taking taylor expansion of -1/2 in K
1.757 * [backup-simplify]: Simplify -1/2 into -1/2
1.757 * [taylor]: Taking taylor expansion of K in K
1.757 * [backup-simplify]: Simplify 0 into 0
1.757 * [backup-simplify]: Simplify 1 into 1
1.758 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.758 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.758 * [taylor]: Taking taylor expansion of (pow U 2) in K
1.758 * [taylor]: Taking taylor expansion of U in K
1.758 * [backup-simplify]: Simplify U into U
1.758 * [backup-simplify]: Simplify (* U U) into (pow U 2)
1.758 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
1.758 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
1.758 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
1.758 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
1.758 * [taylor]: Taking taylor expansion of 1/4 in U
1.758 * [backup-simplify]: Simplify 1/4 into 1/4
1.758 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
1.759 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.759 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.759 * [taylor]: Taking taylor expansion of -1/2 in U
1.759 * [backup-simplify]: Simplify -1/2 into -1/2
1.759 * [taylor]: Taking taylor expansion of K in U
1.759 * [backup-simplify]: Simplify K into K
1.759 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.759 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.759 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.759 * [taylor]: Taking taylor expansion of (pow U 2) in U
1.759 * [taylor]: Taking taylor expansion of U in U
1.759 * [backup-simplify]: Simplify 0 into 0
1.759 * [backup-simplify]: Simplify 1 into 1
1.759 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.759 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.760 * [backup-simplify]: Simplify (- 0) into 0
1.760 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.760 * [backup-simplify]: Simplify (* 1 1) into 1
1.760 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.760 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
1.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.761 * [backup-simplify]: Simplify (+ 0) into 0
1.762 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.763 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.763 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.763 * [backup-simplify]: Simplify (- 0) into 0
1.764 * [backup-simplify]: Simplify (+ 0 0) into 0
1.764 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.764 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.764 * [backup-simplify]: Simplify 0 into 0
1.764 * [taylor]: Taking taylor expansion of 0 in U
1.764 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.765 * [taylor]: Taking taylor expansion of 0 in U
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 0 into 0
1.765 * [backup-simplify]: Simplify 0 into 0
1.766 * [backup-simplify]: Simplify (+ 0) into 0
1.766 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.766 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.768 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.768 * [backup-simplify]: Simplify (- 0) into 0
1.768 * [backup-simplify]: Simplify (+ 0 0) into 0
1.769 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.769 * [backup-simplify]: Simplify 0 into 0
1.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.770 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.770 * [backup-simplify]: Simplify (+ 0) into 0
1.770 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.770 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.771 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.772 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.772 * [backup-simplify]: Simplify (- 0) into 0
1.772 * [backup-simplify]: Simplify (+ 0 0) into 0
1.772 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.773 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
1.773 * [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
1.774 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
1.774 * [backup-simplify]: Simplify (+ 0 0) into 0
1.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
1.776 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.777 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.777 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.778 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.779 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.779 * [backup-simplify]: Simplify (- 0) into 0
1.780 * [backup-simplify]: Simplify (+ 0 0) into 0
1.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.782 * [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
1.783 * [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
1.783 * [taylor]: Taking taylor expansion of 0 in K
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [taylor]: Taking taylor expansion of 0 in U
1.783 * [backup-simplify]: Simplify 0 into 0
1.783 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
1.784 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
1.784 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
1.784 * [taylor]: Taking taylor expansion of 0 in U
1.784 * [backup-simplify]: Simplify 0 into 0
1.785 * [taylor]: Taking taylor expansion of 0 in U
1.785 * [backup-simplify]: Simplify 0 into 0
1.786 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.786 * [taylor]: Taking taylor expansion of 0 in U
1.786 * [backup-simplify]: Simplify 0 into 0
1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.787 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.788 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.788 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.789 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.789 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.789 * [backup-simplify]: Simplify (- 0) into 0
1.790 * [backup-simplify]: Simplify (+ 0 0) into 0
1.790 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.790 * [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
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify 0 into 0
1.790 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
1.791 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2)
1.791 * [backup-simplify]: Simplify (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) into (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2)
1.791 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in (U J K) around 0
1.791 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in K
1.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in K
1.791 * [taylor]: Taking taylor expansion of 1/2 in K
1.791 * [backup-simplify]: Simplify 1/2 into 1/2
1.791 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in K
1.791 * [taylor]: Taking taylor expansion of U in K
1.791 * [backup-simplify]: Simplify U into U
1.791 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.791 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.791 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.791 * [taylor]: Taking taylor expansion of 1/2 in K
1.791 * [backup-simplify]: Simplify 1/2 into 1/2
1.791 * [taylor]: Taking taylor expansion of K in K
1.791 * [backup-simplify]: Simplify 0 into 0
1.791 * [backup-simplify]: Simplify 1 into 1
1.791 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.792 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.792 * [taylor]: Taking taylor expansion of J in K
1.792 * [backup-simplify]: Simplify J into J
1.792 * [backup-simplify]: Simplify (* 1 J) into J
1.792 * [backup-simplify]: Simplify (/ U J) into (/ U J)
1.792 * [backup-simplify]: Simplify (* 1/2 (/ U J)) into (* 1/2 (/ U J))
1.792 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in J
1.792 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in J
1.792 * [taylor]: Taking taylor expansion of 1/2 in J
1.792 * [backup-simplify]: Simplify 1/2 into 1/2
1.792 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in J
1.792 * [taylor]: Taking taylor expansion of U in J
1.792 * [backup-simplify]: Simplify U into U
1.792 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.792 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.792 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.792 * [taylor]: Taking taylor expansion of 1/2 in J
1.792 * [backup-simplify]: Simplify 1/2 into 1/2
1.792 * [taylor]: Taking taylor expansion of K in J
1.792 * [backup-simplify]: Simplify K into K
1.792 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.792 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.792 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.792 * [taylor]: Taking taylor expansion of J in J
1.792 * [backup-simplify]: Simplify 0 into 0
1.792 * [backup-simplify]: Simplify 1 into 1
1.792 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.792 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.792 * [backup-simplify]: Simplify (- 0) into 0
1.792 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.793 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.793 * [backup-simplify]: Simplify (+ 0) into 0
1.793 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.793 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.794 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.794 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.794 * [backup-simplify]: Simplify (- 0) into 0
1.795 * [backup-simplify]: Simplify (+ 0 0) into 0
1.795 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.795 * [backup-simplify]: Simplify (/ U (cos (* 1/2 K))) into (/ U (cos (* 1/2 K)))
1.795 * [backup-simplify]: Simplify (* 1/2 (/ U (cos (* 1/2 K)))) into (* 1/2 (/ U (cos (* 1/2 K))))
1.795 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U
1.795 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.795 * [taylor]: Taking taylor expansion of 1/2 in U
1.795 * [backup-simplify]: Simplify 1/2 into 1/2
1.795 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.795 * [taylor]: Taking taylor expansion of U in U
1.795 * [backup-simplify]: Simplify 0 into 0
1.795 * [backup-simplify]: Simplify 1 into 1
1.795 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.795 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.795 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.795 * [taylor]: Taking taylor expansion of 1/2 in U
1.795 * [backup-simplify]: Simplify 1/2 into 1/2
1.795 * [taylor]: Taking taylor expansion of K in U
1.795 * [backup-simplify]: Simplify K into K
1.795 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.795 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.795 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.795 * [taylor]: Taking taylor expansion of J in U
1.795 * [backup-simplify]: Simplify J into J
1.795 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.795 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.796 * [backup-simplify]: Simplify (- 0) into 0
1.796 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.796 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.796 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
1.796 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ U (* (cos (* 1/2 K)) J))) 2) in U
1.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ U (* (cos (* 1/2 K)) J))) in U
1.796 * [taylor]: Taking taylor expansion of 1/2 in U
1.796 * [backup-simplify]: Simplify 1/2 into 1/2
1.796 * [taylor]: Taking taylor expansion of (/ U (* (cos (* 1/2 K)) J)) in U
1.796 * [taylor]: Taking taylor expansion of U in U
1.796 * [backup-simplify]: Simplify 0 into 0
1.796 * [backup-simplify]: Simplify 1 into 1
1.796 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
1.796 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
1.796 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
1.796 * [taylor]: Taking taylor expansion of 1/2 in U
1.796 * [backup-simplify]: Simplify 1/2 into 1/2
1.796 * [taylor]: Taking taylor expansion of K in U
1.796 * [backup-simplify]: Simplify K into K
1.796 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.796 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.796 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.796 * [taylor]: Taking taylor expansion of J in U
1.796 * [backup-simplify]: Simplify J into J
1.796 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.796 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.797 * [backup-simplify]: Simplify (- 0) into 0
1.797 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) J) into (* (cos (* 1/2 K)) J)
1.797 * [backup-simplify]: Simplify (/ 1 (* (cos (* 1/2 K)) J)) into (/ 1 (* (cos (* 1/2 K)) J))
1.797 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (* 1/2 K)) J))) into (/ 1/2 (* (cos (* 1/2 K)) J))
1.797 * [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)))
1.797 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
1.797 * [taylor]: Taking taylor expansion of 1/4 in J
1.797 * [backup-simplify]: Simplify 1/4 into 1/4
1.797 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
1.797 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
1.797 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.797 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.797 * [taylor]: Taking taylor expansion of 1/2 in J
1.797 * [backup-simplify]: Simplify 1/2 into 1/2
1.797 * [taylor]: Taking taylor expansion of K in J
1.797 * [backup-simplify]: Simplify K into K
1.797 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.797 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.797 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.797 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.797 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.798 * [backup-simplify]: Simplify (- 0) into 0
1.798 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.798 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.798 * [taylor]: Taking taylor expansion of J in J
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.798 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
1.798 * [backup-simplify]: Simplify (* 1 1) into 1
1.798 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
1.798 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
1.798 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
1.798 * [taylor]: Taking taylor expansion of 1/4 in K
1.798 * [backup-simplify]: Simplify 1/4 into 1/4
1.798 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
1.798 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.798 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.798 * [taylor]: Taking taylor expansion of 1/2 in K
1.798 * [backup-simplify]: Simplify 1/2 into 1/2
1.798 * [taylor]: Taking taylor expansion of K in K
1.798 * [backup-simplify]: Simplify 0 into 0
1.798 * [backup-simplify]: Simplify 1 into 1
1.799 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.799 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.799 * [backup-simplify]: Simplify (* 1 1) into 1
1.800 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
1.800 * [backup-simplify]: Simplify 1/4 into 1/4
1.800 * [backup-simplify]: Simplify (+ 0) into 0
1.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.801 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.801 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.802 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.802 * [backup-simplify]: Simplify (- 0) into 0
1.802 * [backup-simplify]: Simplify (+ 0 0) into 0
1.802 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 J)) into 0
1.802 * [backup-simplify]: Simplify (- (/ 0 (* (cos (* 1/2 K)) J)) (+ (* (/ 1 (* (cos (* 1/2 K)) J)) (/ 0 (* (cos (* 1/2 K)) J))))) into 0
1.803 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))) into 0
1.803 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J)))) into 0
1.803 * [taylor]: Taking taylor expansion of 0 in J
1.803 * [backup-simplify]: Simplify 0 into 0
1.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.803 * [backup-simplify]: Simplify (+ 0) into 0
1.804 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.805 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.805 * [backup-simplify]: Simplify (- 0) into 0
1.805 * [backup-simplify]: Simplify (+ 0 0) into 0
1.805 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
1.806 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
1.806 * [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
1.806 * [taylor]: Taking taylor expansion of 0 in K
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify 0 into 0
1.806 * [backup-simplify]: Simplify (+ 0) into 0
1.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
1.807 * [backup-simplify]: Simplify 0 into 0
1.808 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.808 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.809 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.809 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.810 * [backup-simplify]: Simplify (- 0) into 0
1.811 * [backup-simplify]: Simplify (+ 0 0) into 0
1.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 J))) into 0
1.812 * [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
1.813 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))) into 0
1.814 * [backup-simplify]: Simplify (+ (* (/ 1/2 (* (cos (* 1/2 K)) J)) 0) (+ (* 0 0) (* 0 (/ 1/2 (* (cos (* 1/2 K)) J))))) into 0
1.814 * [taylor]: Taking taylor expansion of 0 in J
1.814 * [backup-simplify]: Simplify 0 into 0
1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.816 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.816 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.818 * [backup-simplify]: Simplify (- 0) into 0
1.818 * [backup-simplify]: Simplify (+ 0 0) into 0
1.818 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
1.819 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
1.819 * [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
1.819 * [taylor]: Taking taylor expansion of 0 in K
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.819 * [backup-simplify]: Simplify 0 into 0
1.820 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
1.820 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
1.821 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
1.821 * [backup-simplify]: Simplify 1/16 into 1/16
1.822 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.822 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.823 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.824 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.825 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.825 * [backup-simplify]: Simplify (- 0) into 0
1.825 * [backup-simplify]: Simplify (+ 0 0) into 0
1.826 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
1.827 * [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
1.828 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J)))))) into 0
1.828 * [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
1.828 * [taylor]: Taking taylor expansion of 0 in J
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [taylor]: Taking taylor expansion of 0 in K
1.828 * [backup-simplify]: Simplify 0 into 0
1.828 * [backup-simplify]: Simplify 0 into 0
1.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.830 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.831 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.832 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.832 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.832 * [backup-simplify]: Simplify (- 0) into 0
1.833 * [backup-simplify]: Simplify (+ 0 0) into 0
1.833 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
1.834 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.834 * [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
1.834 * [taylor]: Taking taylor expansion of 0 in K
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.834 * [backup-simplify]: Simplify 0 into 0
1.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
1.836 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
1.837 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
1.837 * [backup-simplify]: Simplify 0 into 0
1.838 * [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
1.839 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
1.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
1.841 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
1.841 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
1.842 * [backup-simplify]: Simplify (- 0) into 0
1.842 * [backup-simplify]: Simplify (+ 0 0) into 0
1.842 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
1.843 * [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
1.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (cos (* 1/2 K)) J))))))) into 0
1.845 * [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
1.845 * [taylor]: Taking taylor expansion of 0 in J
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [taylor]: Taking taylor expansion of 0 in K
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [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))))
1.845 * [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)
1.845 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in (U J K) around 0
1.845 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in K
1.845 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in K
1.845 * [taylor]: Taking taylor expansion of 1/2 in K
1.845 * [backup-simplify]: Simplify 1/2 into 1/2
1.845 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in K
1.845 * [taylor]: Taking taylor expansion of J in K
1.845 * [backup-simplify]: Simplify J into J
1.845 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in K
1.845 * [taylor]: Taking taylor expansion of U in K
1.845 * [backup-simplify]: Simplify U into U
1.845 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.845 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.845 * [taylor]: Taking taylor expansion of 1/2 in K
1.845 * [backup-simplify]: Simplify 1/2 into 1/2
1.845 * [taylor]: Taking taylor expansion of K in K
1.845 * [backup-simplify]: Simplify 0 into 0
1.845 * [backup-simplify]: Simplify 1 into 1
1.846 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.846 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.846 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.846 * [backup-simplify]: Simplify (/ J (* U (cos (/ 1/2 K)))) into (/ J (* U (cos (/ 1/2 K))))
1.846 * [backup-simplify]: Simplify (* 1/2 (/ J (* U (cos (/ 1/2 K))))) into (* 1/2 (/ J (* U (cos (/ 1/2 K)))))
1.846 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in J
1.846 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in J
1.846 * [taylor]: Taking taylor expansion of 1/2 in J
1.846 * [backup-simplify]: Simplify 1/2 into 1/2
1.846 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in J
1.846 * [taylor]: Taking taylor expansion of J in J
1.846 * [backup-simplify]: Simplify 0 into 0
1.846 * [backup-simplify]: Simplify 1 into 1
1.846 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in J
1.846 * [taylor]: Taking taylor expansion of U in J
1.846 * [backup-simplify]: Simplify U into U
1.846 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.846 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.846 * [taylor]: Taking taylor expansion of 1/2 in J
1.846 * [backup-simplify]: Simplify 1/2 into 1/2
1.846 * [taylor]: Taking taylor expansion of K in J
1.846 * [backup-simplify]: Simplify K into K
1.846 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.846 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.846 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.846 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.846 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.847 * [backup-simplify]: Simplify (- 0) into 0
1.847 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.847 * [backup-simplify]: Simplify (* U (cos (/ 1/2 K))) into (* U (cos (/ 1/2 K)))
1.847 * [backup-simplify]: Simplify (/ 1 (* U (cos (/ 1/2 K)))) into (/ 1 (* U (cos (/ 1/2 K))))
1.847 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* U (cos (/ 1/2 K))))) into (/ 1/2 (* U (cos (/ 1/2 K))))
1.847 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U
1.847 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 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 (/ J (* U (cos (/ 1/2 K)))) 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 (* U (cos (/ 1/2 K))) in U
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 * [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 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.847 * [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 (* 0 (cos (/ 1/2 K))) into 0
1.848 * [backup-simplify]: Simplify (+ 0) into 0
1.848 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.848 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.849 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.849 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.849 * [backup-simplify]: Simplify (- 0) into 0
1.850 * [backup-simplify]: Simplify (+ 0 0) into 0
1.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) into (cos (/ 1/2 K))
1.850 * [backup-simplify]: Simplify (/ J (cos (/ 1/2 K))) into (/ J (cos (/ 1/2 K)))
1.850 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ 1/2 K)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
1.850 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* U (cos (/ 1/2 K))))) 2) in U
1.850 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* U (cos (/ 1/2 K))))) in U
1.850 * [taylor]: Taking taylor expansion of 1/2 in U
1.850 * [backup-simplify]: Simplify 1/2 into 1/2
1.850 * [taylor]: Taking taylor expansion of (/ J (* U (cos (/ 1/2 K)))) in U
1.850 * [taylor]: Taking taylor expansion of J in U
1.850 * [backup-simplify]: Simplify J into J
1.850 * [taylor]: Taking taylor expansion of (* U (cos (/ 1/2 K))) in U
1.850 * [taylor]: Taking taylor expansion of U in U
1.850 * [backup-simplify]: Simplify 0 into 0
1.850 * [backup-simplify]: Simplify 1 into 1
1.850 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
1.850 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
1.850 * [taylor]: Taking taylor expansion of 1/2 in U
1.850 * [backup-simplify]: Simplify 1/2 into 1/2
1.850 * [taylor]: Taking taylor expansion of K in U
1.850 * [backup-simplify]: Simplify K into K
1.850 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.850 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.850 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.850 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.851 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.851 * [backup-simplify]: Simplify (- 0) into 0
1.851 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.851 * [backup-simplify]: Simplify (* 0 (cos (/ 1/2 K))) into 0
1.851 * [backup-simplify]: Simplify (+ 0) into 0
1.851 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.852 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.852 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.853 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.853 * [backup-simplify]: Simplify (- 0) into 0
1.853 * [backup-simplify]: Simplify (+ 0 0) into 0
1.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (cos (/ 1/2 K)))) 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))))
1.854 * [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))
1.854 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.854 * [backup-simplify]: Simplify (- 0) into 0
1.854 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.855 * [backup-simplify]: Simplify (* 1 1) into 1
1.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.855 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
1.855 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.855 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
1.855 * [taylor]: Taking taylor expansion of 1/4 in K
1.855 * [backup-simplify]: Simplify 1/4 into 1/4
1.855 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
1.855 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.855 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.855 * [taylor]: Taking taylor expansion of 1/2 in K
1.855 * [backup-simplify]: Simplify 1/2 into 1/2
1.855 * [taylor]: Taking taylor expansion of K in K
1.855 * [backup-simplify]: Simplify 0 into 0
1.855 * [backup-simplify]: Simplify 1 into 1
1.855 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.855 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.855 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
1.856 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.856 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
1.856 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.857 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.857 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.857 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.858 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.858 * [backup-simplify]: Simplify (- 0) into 0
1.858 * [backup-simplify]: Simplify (+ 0 0) into 0
1.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (cos (/ 1/2 K))))) into 0
1.859 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ J (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
1.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ 1/2 K))))) into 0
1.859 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
1.859 * [taylor]: Taking taylor expansion of 0 in J
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [taylor]: Taking taylor expansion of 0 in K
1.859 * [backup-simplify]: Simplify 0 into 0
1.859 * [backup-simplify]: Simplify 0 into 0
1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.860 * [backup-simplify]: Simplify (+ 0) into 0
1.860 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.861 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.861 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.861 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.862 * [backup-simplify]: Simplify (- 0) into 0
1.862 * [backup-simplify]: Simplify (+ 0 0) into 0
1.862 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.862 * [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
1.862 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
1.862 * [taylor]: Taking taylor expansion of 0 in K
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify 0 into 0
1.863 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
1.863 * [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
1.863 * [backup-simplify]: Simplify 0 into 0
1.864 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.864 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.865 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.866 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.866 * [backup-simplify]: Simplify (- 0) into 0
1.866 * [backup-simplify]: Simplify (+ 0 0) into 0
1.867 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
1.867 * [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
1.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ 1/2 K)))))) into 0
1.868 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ 1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ 1/2 K))))))) into 0
1.868 * [taylor]: Taking taylor expansion of 0 in J
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [taylor]: Taking taylor expansion of 0 in K
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [taylor]: Taking taylor expansion of 0 in K
1.868 * [backup-simplify]: Simplify 0 into 0
1.868 * [backup-simplify]: Simplify 0 into 0
1.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.870 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.870 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.871 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.871 * [backup-simplify]: Simplify (- 0) into 0
1.871 * [backup-simplify]: Simplify (+ 0 0) into 0
1.871 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.872 * [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
1.872 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
1.872 * [taylor]: Taking taylor expansion of 0 in K
1.872 * [backup-simplify]: Simplify 0 into 0
1.872 * [backup-simplify]: Simplify 0 into 0
1.873 * [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))))
1.873 * [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)
1.873 * [approximate]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in (U J K) around 0
1.873 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in K
1.873 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in K
1.873 * [taylor]: Taking taylor expansion of 1/2 in K
1.873 * [backup-simplify]: Simplify 1/2 into 1/2
1.873 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in K
1.873 * [taylor]: Taking taylor expansion of J in K
1.873 * [backup-simplify]: Simplify J into J
1.873 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in K
1.873 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.873 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.873 * [taylor]: Taking taylor expansion of -1/2 in K
1.873 * [backup-simplify]: Simplify -1/2 into -1/2
1.873 * [taylor]: Taking taylor expansion of K in K
1.873 * [backup-simplify]: Simplify 0 into 0
1.873 * [backup-simplify]: Simplify 1 into 1
1.873 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.873 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.873 * [taylor]: Taking taylor expansion of U in K
1.873 * [backup-simplify]: Simplify U into U
1.873 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
1.874 * [backup-simplify]: Simplify (/ J (* (cos (/ -1/2 K)) U)) into (/ J (* (cos (/ -1/2 K)) U))
1.874 * [backup-simplify]: Simplify (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) into (* 1/2 (/ J (* (cos (/ -1/2 K)) U)))
1.874 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in J
1.874 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in J
1.874 * [taylor]: Taking taylor expansion of 1/2 in J
1.874 * [backup-simplify]: Simplify 1/2 into 1/2
1.874 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in J
1.874 * [taylor]: Taking taylor expansion of J in J
1.874 * [backup-simplify]: Simplify 0 into 0
1.874 * [backup-simplify]: Simplify 1 into 1
1.874 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in J
1.874 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.874 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.874 * [taylor]: Taking taylor expansion of -1/2 in J
1.874 * [backup-simplify]: Simplify -1/2 into -1/2
1.874 * [taylor]: Taking taylor expansion of K in J
1.874 * [backup-simplify]: Simplify K into K
1.874 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.874 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.874 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.874 * [taylor]: Taking taylor expansion of U in J
1.874 * [backup-simplify]: Simplify U into U
1.874 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.874 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.874 * [backup-simplify]: Simplify (- 0) into 0
1.874 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.874 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) U) into (* (cos (/ -1/2 K)) U)
1.874 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) U)) into (/ 1 (* (cos (/ -1/2 K)) U))
1.875 * [backup-simplify]: Simplify (* 1/2 (/ 1 (* (cos (/ -1/2 K)) U))) into (/ 1/2 (* (cos (/ -1/2 K)) U))
1.875 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U
1.875 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
1.875 * [taylor]: Taking taylor expansion of 1/2 in U
1.875 * [backup-simplify]: Simplify 1/2 into 1/2
1.875 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
1.875 * [taylor]: Taking taylor expansion of J in U
1.875 * [backup-simplify]: Simplify J into J
1.875 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
1.875 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.875 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.875 * [taylor]: Taking taylor expansion of -1/2 in U
1.875 * [backup-simplify]: Simplify -1/2 into -1/2
1.875 * [taylor]: Taking taylor expansion of K in U
1.875 * [backup-simplify]: Simplify K into K
1.875 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.875 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.875 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.875 * [taylor]: Taking taylor expansion of U in U
1.875 * [backup-simplify]: Simplify 0 into 0
1.875 * [backup-simplify]: Simplify 1 into 1
1.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.875 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.875 * [backup-simplify]: Simplify (- 0) into 0
1.875 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.875 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
1.876 * [backup-simplify]: Simplify (+ 0) into 0
1.876 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.877 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.877 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.877 * [backup-simplify]: Simplify (- 0) into 0
1.877 * [backup-simplify]: Simplify (+ 0 0) into 0
1.878 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
1.878 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
1.878 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.878 * [taylor]: Taking taylor expansion of (pow (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) 2) in U
1.878 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (* (cos (/ -1/2 K)) U))) in U
1.878 * [taylor]: Taking taylor expansion of 1/2 in U
1.878 * [backup-simplify]: Simplify 1/2 into 1/2
1.878 * [taylor]: Taking taylor expansion of (/ J (* (cos (/ -1/2 K)) U)) in U
1.878 * [taylor]: Taking taylor expansion of J in U
1.878 * [backup-simplify]: Simplify J into J
1.878 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) U) in U
1.878 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
1.878 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
1.878 * [taylor]: Taking taylor expansion of -1/2 in U
1.878 * [backup-simplify]: Simplify -1/2 into -1/2
1.878 * [taylor]: Taking taylor expansion of K in U
1.878 * [backup-simplify]: Simplify K into K
1.878 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.878 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.878 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.878 * [taylor]: Taking taylor expansion of U in U
1.878 * [backup-simplify]: Simplify 0 into 0
1.878 * [backup-simplify]: Simplify 1 into 1
1.878 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.878 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.879 * [backup-simplify]: Simplify (- 0) into 0
1.879 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.879 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 0) into 0
1.879 * [backup-simplify]: Simplify (+ 0) into 0
1.880 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.880 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.880 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.881 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.881 * [backup-simplify]: Simplify (- 0) into 0
1.881 * [backup-simplify]: Simplify (+ 0 0) into 0
1.881 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 1) (* 0 0)) into (cos (/ -1/2 K))
1.881 * [backup-simplify]: Simplify (/ J (cos (/ -1/2 K))) into (/ J (cos (/ -1/2 K)))
1.881 * [backup-simplify]: Simplify (* 1/2 (/ J (cos (/ -1/2 K)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
1.882 * [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)))
1.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
1.882 * [taylor]: Taking taylor expansion of 1/4 in J
1.882 * [backup-simplify]: Simplify 1/4 into 1/4
1.882 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
1.882 * [taylor]: Taking taylor expansion of (pow J 2) in J
1.882 * [taylor]: Taking taylor expansion of J in J
1.882 * [backup-simplify]: Simplify 0 into 0
1.882 * [backup-simplify]: Simplify 1 into 1
1.882 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
1.882 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.882 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.882 * [taylor]: Taking taylor expansion of -1/2 in J
1.882 * [backup-simplify]: Simplify -1/2 into -1/2
1.882 * [taylor]: Taking taylor expansion of K in J
1.882 * [backup-simplify]: Simplify K into K
1.882 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.882 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.882 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.882 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.882 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.882 * [backup-simplify]: Simplify (- 0) into 0
1.882 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.883 * [backup-simplify]: Simplify (* 1 1) into 1
1.883 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.883 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
1.883 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.883 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
1.883 * [taylor]: Taking taylor expansion of 1/4 in K
1.883 * [backup-simplify]: Simplify 1/4 into 1/4
1.883 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
1.883 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.883 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.883 * [taylor]: Taking taylor expansion of -1/2 in K
1.883 * [backup-simplify]: Simplify -1/2 into -1/2
1.883 * [taylor]: Taking taylor expansion of K in K
1.883 * [backup-simplify]: Simplify 0 into 0
1.883 * [backup-simplify]: Simplify 1 into 1
1.883 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.883 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.884 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
1.884 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.884 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
1.884 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.885 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.885 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.885 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.886 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.886 * [backup-simplify]: Simplify (- 0) into 0
1.886 * [backup-simplify]: Simplify (+ 0 0) into 0
1.886 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.887 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ J (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
1.887 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ J (cos (/ -1/2 K))))) into 0
1.887 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
1.887 * [taylor]: Taking taylor expansion of 0 in J
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [taylor]: Taking taylor expansion of 0 in K
1.887 * [backup-simplify]: Simplify 0 into 0
1.887 * [backup-simplify]: Simplify 0 into 0
1.888 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify (+ 0) into 0
1.888 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.888 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.889 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.889 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.889 * [backup-simplify]: Simplify (- 0) into 0
1.889 * [backup-simplify]: Simplify (+ 0 0) into 0
1.889 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.890 * [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
1.890 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) 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 (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
1.890 * [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
1.890 * [backup-simplify]: Simplify 0 into 0
1.891 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.891 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.892 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.892 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.893 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 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)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.894 * [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
1.895 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ J (cos (/ -1/2 K)))))) into 0
1.895 * [backup-simplify]: Simplify (+ (* (* 1/2 (/ J (cos (/ -1/2 K)))) 0) (+ (* 0 0) (* 0 (* 1/2 (/ J (cos (/ -1/2 K))))))) into 0
1.895 * [taylor]: Taking taylor expansion of 0 in J
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [taylor]: Taking taylor expansion of 0 in K
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [taylor]: Taking taylor expansion of 0 in K
1.895 * [backup-simplify]: Simplify 0 into 0
1.895 * [backup-simplify]: Simplify 0 into 0
1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
1.896 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.896 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.897 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.897 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.897 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.898 * [backup-simplify]: Simplify (- 0) into 0
1.898 * [backup-simplify]: Simplify (+ 0 0) into 0
1.898 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.898 * [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
1.899 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
1.899 * [taylor]: Taking taylor expansion of 0 in K
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [backup-simplify]: Simplify 0 into 0
1.899 * [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))))
1.899 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
1.899 * [backup-simplify]: Simplify (* (* -2 J) (cos (/ K 2))) into (* -2 (* (cos (* 1/2 K)) J))
1.899 * [approximate]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in (J K) around 0
1.899 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in K
1.899 * [taylor]: Taking taylor expansion of -2 in K
1.899 * [backup-simplify]: Simplify -2 into -2
1.899 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
1.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.900 * [taylor]: Taking taylor expansion of 1/2 in K
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of K in K
1.900 * [backup-simplify]: Simplify 0 into 0
1.900 * [backup-simplify]: Simplify 1 into 1
1.900 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.900 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.900 * [taylor]: Taking taylor expansion of J in K
1.900 * [backup-simplify]: Simplify J into J
1.900 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
1.900 * [taylor]: Taking taylor expansion of -2 in J
1.900 * [backup-simplify]: Simplify -2 into -2
1.900 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.900 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.900 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.900 * [taylor]: Taking taylor expansion of 1/2 in J
1.900 * [backup-simplify]: Simplify 1/2 into 1/2
1.900 * [taylor]: Taking taylor expansion of K in J
1.900 * [backup-simplify]: Simplify K into K
1.901 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.901 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.901 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.901 * [taylor]: Taking taylor expansion of J in J
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [taylor]: Taking taylor expansion of (* -2 (* (cos (* 1/2 K)) J)) in J
1.901 * [taylor]: Taking taylor expansion of -2 in J
1.901 * [backup-simplify]: Simplify -2 into -2
1.901 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
1.901 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
1.901 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
1.901 * [taylor]: Taking taylor expansion of 1/2 in J
1.901 * [backup-simplify]: Simplify 1/2 into 1/2
1.901 * [taylor]: Taking taylor expansion of K in J
1.901 * [backup-simplify]: Simplify K into K
1.901 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
1.901 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
1.901 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
1.901 * [taylor]: Taking taylor expansion of J in J
1.901 * [backup-simplify]: Simplify 0 into 0
1.901 * [backup-simplify]: Simplify 1 into 1
1.901 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
1.901 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
1.903 * [backup-simplify]: Simplify (- 0) into 0
1.903 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
1.903 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
1.903 * [backup-simplify]: Simplify (* -2 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
1.904 * [backup-simplify]: Simplify (+ 0) into 0
1.904 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
1.904 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
1.905 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.905 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
1.905 * [backup-simplify]: Simplify (- 0) into 0
1.905 * [backup-simplify]: Simplify (+ 0 0) into 0
1.906 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
1.906 * [backup-simplify]: Simplify (+ (* -2 (cos (* 1/2 K))) (* 0 0)) into (- (* 2 (cos (* 1/2 K))))
1.906 * [taylor]: Taking taylor expansion of (- (* 2 (cos (* 1/2 K)))) in K
1.906 * [taylor]: Taking taylor expansion of (* 2 (cos (* 1/2 K))) in K
1.906 * [taylor]: Taking taylor expansion of 2 in K
1.906 * [backup-simplify]: Simplify 2 into 2
1.906 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
1.906 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
1.906 * [taylor]: Taking taylor expansion of 1/2 in K
1.906 * [backup-simplify]: Simplify 1/2 into 1/2
1.906 * [taylor]: Taking taylor expansion of K in K
1.906 * [backup-simplify]: Simplify 0 into 0
1.906 * [backup-simplify]: Simplify 1 into 1
1.906 * [backup-simplify]: Simplify (* 1/2 0) into 0
1.907 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
1.907 * [backup-simplify]: Simplify (* 2 1) into 2
1.907 * [backup-simplify]: Simplify (- 2) into -2
1.907 * [backup-simplify]: Simplify -2 into -2
1.907 * [backup-simplify]: Simplify 0 into 0
1.908 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.908 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.909 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
1.909 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.910 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.910 * [backup-simplify]: Simplify (- 0) into 0
1.910 * [backup-simplify]: Simplify (+ 0 0) into 0
1.910 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
1.911 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0))) into 0
1.911 * [taylor]: Taking taylor expansion of 0 in K
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify 0 into 0
1.911 * [backup-simplify]: Simplify (+ 0) into 0
1.912 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
1.912 * [backup-simplify]: Simplify (- 0) into 0
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify 0 into 0
1.912 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.913 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
1.914 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.915 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.915 * [backup-simplify]: Simplify (- 0) into 0
1.915 * [backup-simplify]: Simplify (+ 0 0) into 0
1.916 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
1.917 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 (cos (* 1/2 K))) (* 0 0)))) into 0
1.917 * [taylor]: Taking taylor expansion of 0 in K
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify (* -2 (* 1 J)) into (* -2 J)
1.917 * [backup-simplify]: Simplify (* (* -2 (/ 1 J)) (cos (/ (/ 1 K) 2))) into (* -2 (/ (cos (/ 1/2 K)) J))
1.917 * [approximate]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in (J K) around 0
1.917 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in K
1.917 * [taylor]: Taking taylor expansion of -2 in K
1.917 * [backup-simplify]: Simplify -2 into -2
1.917 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
1.917 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.917 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.917 * [taylor]: Taking taylor expansion of 1/2 in K
1.917 * [backup-simplify]: Simplify 1/2 into 1/2
1.917 * [taylor]: Taking taylor expansion of K in K
1.917 * [backup-simplify]: Simplify 0 into 0
1.917 * [backup-simplify]: Simplify 1 into 1
1.918 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.918 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.918 * [taylor]: Taking taylor expansion of J in K
1.918 * [backup-simplify]: Simplify J into J
1.918 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
1.918 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
1.918 * [taylor]: Taking taylor expansion of -2 in J
1.918 * [backup-simplify]: Simplify -2 into -2
1.918 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.918 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.918 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.918 * [taylor]: Taking taylor expansion of 1/2 in J
1.918 * [backup-simplify]: Simplify 1/2 into 1/2
1.918 * [taylor]: Taking taylor expansion of K in J
1.918 * [backup-simplify]: Simplify K into K
1.918 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.918 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.918 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.918 * [taylor]: Taking taylor expansion of J in J
1.918 * [backup-simplify]: Simplify 0 into 0
1.918 * [backup-simplify]: Simplify 1 into 1
1.919 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.919 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.919 * [backup-simplify]: Simplify (- 0) into 0
1.919 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.919 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.919 * [taylor]: Taking taylor expansion of (* -2 (/ (cos (/ 1/2 K)) J)) in J
1.919 * [taylor]: Taking taylor expansion of -2 in J
1.919 * [backup-simplify]: Simplify -2 into -2
1.919 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
1.919 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
1.919 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
1.919 * [taylor]: Taking taylor expansion of 1/2 in J
1.920 * [backup-simplify]: Simplify 1/2 into 1/2
1.920 * [taylor]: Taking taylor expansion of K in J
1.920 * [backup-simplify]: Simplify K into K
1.920 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
1.920 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.920 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
1.920 * [taylor]: Taking taylor expansion of J in J
1.920 * [backup-simplify]: Simplify 0 into 0
1.920 * [backup-simplify]: Simplify 1 into 1
1.920 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.920 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
1.920 * [backup-simplify]: Simplify (- 0) into 0
1.921 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
1.921 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
1.921 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.921 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
1.921 * [taylor]: Taking taylor expansion of -2 in K
1.921 * [backup-simplify]: Simplify -2 into -2
1.921 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
1.921 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
1.921 * [taylor]: Taking taylor expansion of 1/2 in K
1.921 * [backup-simplify]: Simplify 1/2 into 1/2
1.921 * [taylor]: Taking taylor expansion of K in K
1.921 * [backup-simplify]: Simplify 0 into 0
1.921 * [backup-simplify]: Simplify 1 into 1
1.921 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
1.922 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
1.922 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.922 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
1.922 * [backup-simplify]: Simplify (+ 0) into 0
1.923 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
1.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
1.924 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.924 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
1.924 * [backup-simplify]: Simplify (- 0) into 0
1.925 * [backup-simplify]: Simplify (+ 0 0) into 0
1.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
1.926 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.926 * [taylor]: Taking taylor expansion of 0 in K
1.926 * [backup-simplify]: Simplify 0 into 0
1.926 * [backup-simplify]: Simplify 0 into 0
1.927 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
1.927 * [backup-simplify]: Simplify 0 into 0
1.928 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.929 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.929 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.929 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.930 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
1.930 * [backup-simplify]: Simplify (- 0) into 0
1.931 * [backup-simplify]: Simplify (+ 0 0) into 0
1.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.933 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.933 * [taylor]: Taking taylor expansion of 0 in K
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.933 * [backup-simplify]: Simplify 0 into 0
1.934 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
1.934 * [backup-simplify]: Simplify 0 into 0
1.935 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.936 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.936 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.937 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.938 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.938 * [backup-simplify]: Simplify (- 0) into 0
1.938 * [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
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (/ 1 (/ 1 J)))) into (* -2 (* (cos (* 1/2 K)) J))
1.940 * [backup-simplify]: Simplify (* (* -2 (/ 1 (- J))) (cos (/ (/ 1 (- K)) 2))) into (* 2 (/ (cos (/ -1/2 K)) J))
1.940 * [approximate]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
1.940 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in K
1.940 * [taylor]: Taking taylor expansion of 2 in K
1.940 * [backup-simplify]: Simplify 2 into 2
1.940 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
1.940 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.940 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.940 * [taylor]: Taking taylor expansion of -1/2 in K
1.940 * [backup-simplify]: Simplify -1/2 into -1/2
1.940 * [taylor]: Taking taylor expansion of K in K
1.940 * [backup-simplify]: Simplify 0 into 0
1.940 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.941 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.941 * [taylor]: Taking taylor expansion of J in K
1.941 * [backup-simplify]: Simplify J into J
1.941 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
1.941 * [taylor]: Taking taylor expansion of (* 2 (/ (cos (/ -1/2 K)) J)) in J
1.941 * [taylor]: Taking taylor expansion of 2 in J
1.941 * [backup-simplify]: Simplify 2 into 2
1.941 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
1.941 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
1.941 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
1.941 * [taylor]: Taking taylor expansion of -1/2 in J
1.941 * [backup-simplify]: Simplify -1/2 into -1/2
1.941 * [taylor]: Taking taylor expansion of K in J
1.941 * [backup-simplify]: Simplify K into K
1.941 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
1.941 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.941 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.941 * [taylor]: Taking taylor expansion of J in J
1.941 * [backup-simplify]: Simplify 0 into 0
1.941 * [backup-simplify]: Simplify 1 into 1
1.941 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.941 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.941 * [backup-simplify]: Simplify (- 0) into 0
1.941 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.942 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
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))
1.942 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
1.942 * [taylor]: Taking taylor expansion of J in J
1.942 * [backup-simplify]: Simplify 0 into 0
1.942 * [backup-simplify]: Simplify 1 into 1
1.942 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.942 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
1.942 * [backup-simplify]: Simplify (- 0) into 0
1.942 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
1.942 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
1.942 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.942 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
1.942 * [taylor]: Taking taylor expansion of 2 in K
1.942 * [backup-simplify]: Simplify 2 into 2
1.942 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
1.942 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
1.942 * [taylor]: Taking taylor expansion of -1/2 in K
1.943 * [backup-simplify]: Simplify -1/2 into -1/2
1.943 * [taylor]: Taking taylor expansion of K in K
1.943 * [backup-simplify]: Simplify 0 into 0
1.943 * [backup-simplify]: Simplify 1 into 1
1.943 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
1.943 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
1.943 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.943 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
1.943 * [backup-simplify]: Simplify (+ 0) into 0
1.944 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
1.944 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
1.944 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
1.945 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
1.945 * [backup-simplify]: Simplify (- 0) into 0
1.945 * [backup-simplify]: Simplify (+ 0 0) into 0
1.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
1.946 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.946 * [taylor]: Taking taylor expansion of 0 in K
1.946 * [backup-simplify]: Simplify 0 into 0
1.946 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
1.947 * [backup-simplify]: Simplify 0 into 0
1.947 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
1.948 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
1.948 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.948 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
1.949 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 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)) (* 0 (/ 0 1)))) into 0
1.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 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 0 into 0
1.951 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
1.951 * [backup-simplify]: Simplify 0 into 0
1.952 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
1.952 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
1.953 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
1.953 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
1.954 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
1.954 * [backup-simplify]: Simplify (- 0) into 0
1.954 * [backup-simplify]: Simplify (+ 0 0) into 0
1.955 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
1.956 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
1.956 * [taylor]: Taking taylor expansion of 0 in K
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify 0 into 0
1.956 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* -2 (* (cos (* 1/2 K)) J))
1.956 * * * [progress]: simplifying candidates
1.956 * * * * [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)))>
1.956 * * * * [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)))>
1.956 * * * * [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)))))))>
1.956 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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))))))>
1.957 * * * * [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))))))>
1.957 * * * * [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))))))))>
1.957 * * * * [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))))))>
1.957 * * * * [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))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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))))))>
1.957 * * * * [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))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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))>
1.957 * * * * [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))>
1.957 * * * * [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))>
1.957 * * * * [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))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.957 * * * * [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)))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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)))))>
1.958 * * * * [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)))))>
1.958 * * * * [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))))))>
1.958 * * * * [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)))))>
1.958 * * * * [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))))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))>
1.958 * * * * [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)))))))>
1.958 * * * * [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)))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.958 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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)))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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)))))))))>
1.959 * * * * [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)))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))))>
1.959 * * * * [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)))))>
1.959 * * * * [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)))))>
1.959 * * * * [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)))))>
1.959 * * * * [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)))))>
1.959 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.960 * * * * [progress]: [ 91 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) 1))>
1.960 * * * * [progress]: [ 92 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
1.960 * * * * [progress]: [ 93 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (cos (/ K 2))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
1.960 * * * * [progress]: [ 94 / 102 ] simplifiying candidate #<alt (λ (J K U) 0)>
1.960 * * * * [progress]: [ 95 / 102 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
1.960 * * * * [progress]: [ 96 / 102 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
1.960 * * * * [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))))))))>
1.960 * * * * [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))))))))>
1.960 * * * * [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))))))))>
1.960 * * * * [progress]: [ 100 / 102 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
1.960 * * * * [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)))))>
1.960 * * * * [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)))))>
1.961 * [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))
1.963 * * [simplify]: iteration 1: (179 enodes)
2.043 * * [simplify]: iteration 2: (436 enodes)
2.351 * * [simplify]: iteration 3: (1419 enodes)
4.252 * * [simplify]: Extracting #0: cost 69 inf + 0
4.255 * * [simplify]: Extracting #1: cost 786 inf + 4
4.265 * * [simplify]: Extracting #2: cost 1420 inf + 1451
4.281 * * [simplify]: Extracting #3: cost 1456 inf + 14832
4.309 * * [simplify]: Extracting #4: cost 1301 inf + 35361
4.351 * * [simplify]: Extracting #5: cost 956 inf + 110029
4.408 * * [simplify]: Extracting #6: cost 552 inf + 236611
4.535 * * [simplify]: Extracting #7: cost 188 inf + 406939
4.746 * * [simplify]: Extracting #8: cost 3 inf + 502774
4.905 * * [simplify]: Extracting #9: cost 0 inf + 504262
5.101 * [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)))
5.114 * * * [progress]: adding candidates to table
6.360 * * [progress]: iteration 2 / 4
6.361 * * * [progress]: picking best candidate
6.395 * * * * [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)))))>
6.395 * * * [progress]: localizing error
6.458 * * * [progress]: generating rewritten candidates
6.458 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1)
6.463 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
6.505 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 1 2)
6.550 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 1 2 2 2)
6.572 * * * [progress]: generating series expansions
6.572 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1)
6.573 * [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))
6.573 * [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
6.573 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.573 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.573 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.573 * [taylor]: Taking taylor expansion of 1/4 in K
6.573 * [backup-simplify]: Simplify 1/4 into 1/4
6.573 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.573 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.573 * [taylor]: Taking taylor expansion of U in K
6.573 * [backup-simplify]: Simplify U into U
6.573 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.573 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.573 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.573 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.573 * [taylor]: Taking taylor expansion of 1/2 in K
6.573 * [backup-simplify]: Simplify 1/2 into 1/2
6.574 * [taylor]: Taking taylor expansion of K in K
6.574 * [backup-simplify]: Simplify 0 into 0
6.574 * [backup-simplify]: Simplify 1 into 1
6.575 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.575 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.575 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.575 * [taylor]: Taking taylor expansion of J in K
6.575 * [backup-simplify]: Simplify J into J
6.576 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.576 * [backup-simplify]: Simplify (* 1 1) into 1
6.576 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.576 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.576 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.576 * [taylor]: Taking taylor expansion of 1 in K
6.576 * [backup-simplify]: Simplify 1 into 1
6.577 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.577 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.577 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.577 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.577 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.578 * [backup-simplify]: Simplify (+ 0) into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.579 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.579 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.580 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.580 * [backup-simplify]: Simplify (+ 0 0) into 0
6.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.581 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.581 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.581 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.581 * [taylor]: Taking taylor expansion of 1/4 in J
6.581 * [backup-simplify]: Simplify 1/4 into 1/4
6.581 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.581 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.581 * [taylor]: Taking taylor expansion of U in J
6.581 * [backup-simplify]: Simplify U into U
6.581 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.581 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.581 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.581 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.581 * [taylor]: Taking taylor expansion of 1/2 in J
6.581 * [backup-simplify]: Simplify 1/2 into 1/2
6.581 * [taylor]: Taking taylor expansion of K in J
6.581 * [backup-simplify]: Simplify K into K
6.581 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.581 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.581 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.582 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.582 * [backup-simplify]: Simplify (- 0) into 0
6.582 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.582 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.582 * [taylor]: Taking taylor expansion of J in J
6.582 * [backup-simplify]: Simplify 0 into 0
6.582 * [backup-simplify]: Simplify 1 into 1
6.582 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.582 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.583 * [backup-simplify]: Simplify (* 1 1) into 1
6.583 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.583 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.583 * [taylor]: Taking taylor expansion of 1 in J
6.583 * [backup-simplify]: Simplify 1 into 1
6.583 * [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)))
6.584 * [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)))
6.584 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.584 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.585 * [backup-simplify]: Simplify (+ 0) into 0
6.586 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.586 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.587 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.587 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.588 * [backup-simplify]: Simplify (- 0) into 0
6.588 * [backup-simplify]: Simplify (+ 0 0) into 0
6.588 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.589 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.589 * [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
6.590 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.590 * [backup-simplify]: Simplify (+ 0 0) into 0
6.591 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.591 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.591 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.591 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.591 * [taylor]: Taking taylor expansion of 1/4 in U
6.591 * [backup-simplify]: Simplify 1/4 into 1/4
6.591 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.591 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.591 * [taylor]: Taking taylor expansion of U in U
6.591 * [backup-simplify]: Simplify 0 into 0
6.591 * [backup-simplify]: Simplify 1 into 1
6.591 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.591 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.591 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.591 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.591 * [taylor]: Taking taylor expansion of 1/2 in U
6.591 * [backup-simplify]: Simplify 1/2 into 1/2
6.591 * [taylor]: Taking taylor expansion of K in U
6.591 * [backup-simplify]: Simplify K into K
6.591 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.591 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.591 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.591 * [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))
6.592 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.592 * [taylor]: Taking taylor expansion of J in U
6.592 * [backup-simplify]: Simplify J into J
6.593 * [backup-simplify]: Simplify (* 1 1) into 1
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 (* J J) into (pow J 2)
6.593 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.593 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.593 * [taylor]: Taking taylor expansion of 1 in U
6.593 * [backup-simplify]: Simplify 1 into 1
6.598 * [backup-simplify]: Simplify (+ 0 1) into 1
6.599 * [backup-simplify]: Simplify (sqrt 1) into 1
6.599 * [backup-simplify]: Simplify (+ 0 0) into 0
6.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.600 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.600 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.600 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.600 * [taylor]: Taking taylor expansion of 1/4 in U
6.600 * [backup-simplify]: Simplify 1/4 into 1/4
6.600 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.600 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.600 * [taylor]: Taking taylor expansion of U in U
6.600 * [backup-simplify]: Simplify 0 into 0
6.600 * [backup-simplify]: Simplify 1 into 1
6.600 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.600 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.600 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.600 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.601 * [taylor]: Taking taylor expansion of 1/2 in U
6.601 * [backup-simplify]: Simplify 1/2 into 1/2
6.601 * [taylor]: Taking taylor expansion of K in U
6.601 * [backup-simplify]: Simplify K into K
6.601 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.601 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.601 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.601 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.601 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.602 * [backup-simplify]: Simplify (- 0) into 0
6.602 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.602 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.602 * [taylor]: Taking taylor expansion of J in U
6.602 * [backup-simplify]: Simplify J into J
6.602 * [backup-simplify]: Simplify (* 1 1) into 1
6.602 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.602 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.602 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.603 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.603 * [taylor]: Taking taylor expansion of 1 in U
6.603 * [backup-simplify]: Simplify 1 into 1
6.603 * [backup-simplify]: Simplify (+ 0 1) into 1
6.604 * [backup-simplify]: Simplify (sqrt 1) into 1
6.604 * [backup-simplify]: Simplify (+ 0 0) into 0
6.605 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.606 * [taylor]: Taking taylor expansion of 1 in J
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [taylor]: Taking taylor expansion of 0 in J
6.606 * [backup-simplify]: Simplify 0 into 0
6.606 * [taylor]: Taking taylor expansion of 1 in K
6.606 * [backup-simplify]: Simplify 1 into 1
6.606 * [backup-simplify]: Simplify 1 into 1
6.607 * [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)))
6.607 * [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))))
6.609 * [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)))
6.609 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.609 * [taylor]: Taking taylor expansion of 1/8 in J
6.609 * [backup-simplify]: Simplify 1/8 into 1/8
6.609 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.609 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.609 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.609 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.609 * [taylor]: Taking taylor expansion of 1/2 in J
6.609 * [backup-simplify]: Simplify 1/2 into 1/2
6.609 * [taylor]: Taking taylor expansion of K in J
6.609 * [backup-simplify]: Simplify K into K
6.609 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.609 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.609 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.609 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.610 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.610 * [backup-simplify]: Simplify (- 0) into 0
6.610 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.610 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.610 * [taylor]: Taking taylor expansion of J in J
6.610 * [backup-simplify]: Simplify 0 into 0
6.610 * [backup-simplify]: Simplify 1 into 1
6.610 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.611 * [backup-simplify]: Simplify (* 1 1) into 1
6.611 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.611 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
6.612 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.612 * [backup-simplify]: Simplify (+ 0) into 0
6.613 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.613 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.614 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.614 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.615 * [backup-simplify]: Simplify (- 0) into 0
6.615 * [backup-simplify]: Simplify (+ 0 0) into 0
6.615 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.616 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.616 * [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
6.616 * [taylor]: Taking taylor expansion of 0 in K
6.616 * [backup-simplify]: Simplify 0 into 0
6.616 * [backup-simplify]: Simplify 0 into 0
6.616 * [taylor]: Taking taylor expansion of 0 in K
6.616 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [taylor]: Taking taylor expansion of 0 in K
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify 0 into 0
6.617 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.617 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.618 * [backup-simplify]: Simplify (+ 0) into 0
6.618 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.619 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.621 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.621 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.622 * [backup-simplify]: Simplify (- 0) into 0
6.622 * [backup-simplify]: Simplify (+ 0 0) into 0
6.622 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.622 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.622 * [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
6.623 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.623 * [backup-simplify]: Simplify (+ 0 0) into 0
6.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
6.624 * [taylor]: Taking taylor expansion of 0 in J
6.624 * [backup-simplify]: Simplify 0 into 0
6.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.625 * [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
6.626 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.626 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.627 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.627 * [backup-simplify]: Simplify (- 0) into 0
6.627 * [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
6.628 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.628 * [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
6.628 * [taylor]: Taking taylor expansion of 0 in K
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [taylor]: Taking taylor expansion of 0 in K
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 0 into 0
6.628 * [backup-simplify]: Simplify 1 into 1
6.629 * [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))
6.629 * [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
6.629 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.629 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.629 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.629 * [taylor]: Taking taylor expansion of 1/4 in K
6.629 * [backup-simplify]: Simplify 1/4 into 1/4
6.629 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.629 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.629 * [taylor]: Taking taylor expansion of J in K
6.629 * [backup-simplify]: Simplify J into J
6.629 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in 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 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.629 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.629 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.629 * [taylor]: Taking taylor expansion of 1/2 in K
6.629 * [backup-simplify]: Simplify 1/2 into 1/2
6.629 * [taylor]: Taking taylor expansion of K in K
6.629 * [backup-simplify]: Simplify 0 into 0
6.629 * [backup-simplify]: Simplify 1 into 1
6.629 * [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 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.629 * [backup-simplify]: Simplify (* U U) into (pow U 2)
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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.630 * [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)))
6.630 * [taylor]: Taking taylor expansion of 1 in K
6.630 * [backup-simplify]: Simplify 1 into 1
6.630 * [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))))
6.630 * [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)
6.630 * [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))
6.630 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.631 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.631 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.631 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.631 * [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
6.632 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.632 * [backup-simplify]: Simplify (+ 0 0) into 0
6.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.632 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.632 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.632 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.632 * [taylor]: Taking taylor expansion of 1/4 in J
6.632 * [backup-simplify]: Simplify 1/4 into 1/4
6.632 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.632 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.632 * [taylor]: Taking taylor expansion of J in J
6.632 * [backup-simplify]: Simplify 0 into 0
6.632 * [backup-simplify]: Simplify 1 into 1
6.632 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.632 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.632 * [taylor]: Taking taylor expansion of U in J
6.632 * [backup-simplify]: Simplify U into U
6.632 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.632 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.632 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.632 * [taylor]: Taking taylor expansion of 1/2 in J
6.632 * [backup-simplify]: Simplify 1/2 into 1/2
6.632 * [taylor]: Taking taylor expansion of K in J
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))
6.633 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.633 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.633 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.633 * [backup-simplify]: Simplify (- 0) into 0
6.633 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.633 * [backup-simplify]: Simplify (* 1 1) into 1
6.633 * [backup-simplify]: Simplify (* U U) into (pow U 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 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.634 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.634 * [taylor]: Taking taylor expansion of 1 in J
6.634 * [backup-simplify]: Simplify 1 into 1
6.634 * [backup-simplify]: Simplify (+ 0 1) into 1
6.634 * [backup-simplify]: Simplify (sqrt 1) into 1
6.634 * [backup-simplify]: Simplify (+ 0 0) into 0
6.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.635 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.635 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.635 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.635 * [taylor]: Taking taylor expansion of 1/4 in U
6.635 * [backup-simplify]: Simplify 1/4 into 1/4
6.635 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.635 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.635 * [taylor]: Taking taylor expansion of J in U
6.635 * [backup-simplify]: Simplify J into J
6.635 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.635 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.635 * [taylor]: Taking taylor expansion of U in U
6.635 * [backup-simplify]: Simplify 0 into 0
6.635 * [backup-simplify]: Simplify 1 into 1
6.635 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.635 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.635 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.635 * [taylor]: Taking taylor expansion of 1/2 in U
6.635 * [backup-simplify]: Simplify 1/2 into 1/2
6.635 * [taylor]: Taking taylor expansion of K in U
6.635 * [backup-simplify]: Simplify K into K
6.635 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.635 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.635 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.635 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.635 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.636 * [backup-simplify]: Simplify (- 0) into 0
6.636 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.636 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.636 * [backup-simplify]: Simplify (* 1 1) into 1
6.636 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.636 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.636 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.636 * [taylor]: Taking taylor expansion of 1 in U
6.636 * [backup-simplify]: Simplify 1 into 1
6.636 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.637 * [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)))
6.637 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.637 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.637 * [backup-simplify]: Simplify (+ 0) into 0
6.637 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.637 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.638 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.638 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.638 * [backup-simplify]: Simplify (- 0) into 0
6.639 * [backup-simplify]: Simplify (+ 0 0) into 0
6.639 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.640 * [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
6.640 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.640 * [backup-simplify]: Simplify (+ 0 0) into 0
6.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.641 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.641 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.641 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.641 * [taylor]: Taking taylor expansion of 1/4 in U
6.641 * [backup-simplify]: Simplify 1/4 into 1/4
6.641 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.641 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.641 * [taylor]: Taking taylor expansion of J in U
6.641 * [backup-simplify]: Simplify J into J
6.641 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.641 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.641 * [taylor]: Taking taylor expansion of U in U
6.641 * [backup-simplify]: Simplify 0 into 0
6.641 * [backup-simplify]: Simplify 1 into 1
6.641 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.641 * [taylor]: Taking taylor expansion of 1/2 in U
6.641 * [backup-simplify]: Simplify 1/2 into 1/2
6.641 * [taylor]: Taking taylor expansion of K in U
6.641 * [backup-simplify]: Simplify K into K
6.641 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.641 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.641 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.641 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.641 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.641 * [backup-simplify]: Simplify (- 0) into 0
6.641 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.641 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.642 * [backup-simplify]: Simplify (* 1 1) into 1
6.642 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.642 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.642 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.642 * [taylor]: Taking taylor expansion of 1 in U
6.642 * [backup-simplify]: Simplify 1 into 1
6.642 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.642 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) 0) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
6.642 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.642 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.643 * [backup-simplify]: Simplify (+ 0) into 0
6.643 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.643 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.644 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.644 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.644 * [backup-simplify]: Simplify (- 0) into 0
6.644 * [backup-simplify]: Simplify (+ 0 0) into 0
6.644 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.645 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.646 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.646 * [backup-simplify]: Simplify (+ 0 0) into 0
6.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.646 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
6.646 * [taylor]: Taking taylor expansion of 1/2 in J
6.646 * [backup-simplify]: Simplify 1/2 into 1/2
6.646 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
6.646 * [taylor]: Taking taylor expansion of J in J
6.646 * [backup-simplify]: Simplify 0 into 0
6.646 * [backup-simplify]: Simplify 1 into 1
6.646 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.646 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.646 * [taylor]: Taking taylor expansion of 1/2 in J
6.646 * [backup-simplify]: Simplify 1/2 into 1/2
6.646 * [taylor]: Taking taylor expansion of K in J
6.646 * [backup-simplify]: Simplify K into K
6.646 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.646 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.646 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.647 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.647 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.647 * [backup-simplify]: Simplify (- 0) into 0
6.647 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.647 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
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 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
6.647 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
6.647 * [taylor]: Taking taylor expansion of 1/2 in K
6.647 * [backup-simplify]: Simplify 1/2 into 1/2
6.647 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.647 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.647 * [taylor]: Taking taylor expansion of 1/2 in K
6.647 * [backup-simplify]: Simplify 1/2 into 1/2
6.647 * [taylor]: Taking taylor expansion of K in K
6.647 * [backup-simplify]: Simplify 0 into 0
6.647 * [backup-simplify]: Simplify 1 into 1
6.648 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.648 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.648 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.648 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
6.648 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.649 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.649 * [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
6.650 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.650 * [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
6.651 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
6.652 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.653 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.653 * [backup-simplify]: Simplify (+ 0 1) into 1
6.653 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
6.654 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.654 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.654 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.654 * [taylor]: Taking taylor expansion of 1/2 in J
6.654 * [backup-simplify]: Simplify 1/2 into 1/2
6.654 * [taylor]: Taking taylor expansion of K in J
6.654 * [backup-simplify]: Simplify K into K
6.654 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.654 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.654 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.654 * [taylor]: Taking taylor expansion of J in J
6.654 * [backup-simplify]: Simplify 0 into 0
6.654 * [backup-simplify]: Simplify 1 into 1
6.654 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.654 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.654 * [backup-simplify]: Simplify (- 0) into 0
6.654 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.654 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.654 * [backup-simplify]: Simplify (+ 0) into 0
6.655 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.655 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.655 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.656 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.656 * [backup-simplify]: Simplify (- 0) into 0
6.656 * [backup-simplify]: Simplify (+ 0 0) into 0
6.657 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.657 * [taylor]: Taking taylor expansion of 0 in K
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [taylor]: Taking taylor expansion of 0 in K
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify (+ 0) into 0
6.657 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.658 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.658 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.658 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.659 * [backup-simplify]: Simplify (- 0) into 0
6.659 * [backup-simplify]: Simplify (+ 0 0) into 0
6.659 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.659 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.659 * [taylor]: Taking taylor expansion of 0 in K
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify 0 into 0
6.659 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.660 * [backup-simplify]: Simplify 0 into 0
6.660 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) 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
6.661 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.662 * [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
6.663 * [backup-simplify]: Simplify (+ 0 0) into 0
6.664 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
6.664 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
6.665 * [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
6.667 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.667 * [backup-simplify]: Simplify (+ 0 0) into 0
6.667 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
6.667 * [taylor]: Taking taylor expansion of 0 in J
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [taylor]: Taking taylor expansion of 0 in K
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [backup-simplify]: Simplify 0 into 0
6.667 * [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)))
6.668 * [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))))))
6.668 * [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
6.668 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.668 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.668 * [taylor]: Taking taylor expansion of 1 in K
6.668 * [backup-simplify]: Simplify 1 into 1
6.668 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.668 * [taylor]: Taking taylor expansion of 1/4 in K
6.668 * [backup-simplify]: Simplify 1/4 into 1/4
6.668 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.668 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.668 * [taylor]: Taking taylor expansion of J in K
6.668 * [backup-simplify]: Simplify J into J
6.668 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.668 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.668 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.668 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.668 * [taylor]: Taking taylor expansion of -1/2 in K
6.668 * [backup-simplify]: Simplify -1/2 into -1/2
6.668 * [taylor]: Taking taylor expansion of K in K
6.668 * [backup-simplify]: Simplify 0 into 0
6.668 * [backup-simplify]: Simplify 1 into 1
6.668 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.668 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.668 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.668 * [taylor]: Taking taylor expansion of U in K
6.668 * [backup-simplify]: Simplify U into U
6.668 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.668 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.668 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.669 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.669 * [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)))
6.669 * [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))))
6.669 * [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)))))
6.669 * [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))))))
6.669 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.669 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.669 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.670 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.670 * [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
6.670 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.671 * [backup-simplify]: Simplify (+ 0 0) into 0
6.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.671 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.671 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.671 * [taylor]: Taking taylor expansion of 1 in J
6.671 * [backup-simplify]: Simplify 1 into 1
6.671 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.671 * [taylor]: Taking taylor expansion of 1/4 in J
6.671 * [backup-simplify]: Simplify 1/4 into 1/4
6.671 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.671 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.671 * [taylor]: Taking taylor expansion of J in J
6.671 * [backup-simplify]: Simplify 0 into 0
6.671 * [backup-simplify]: Simplify 1 into 1
6.671 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.671 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.671 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.671 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.671 * [taylor]: Taking taylor expansion of -1/2 in J
6.671 * [backup-simplify]: Simplify -1/2 into -1/2
6.671 * [taylor]: Taking taylor expansion of K in J
6.671 * [backup-simplify]: Simplify K into K
6.671 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.671 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.671 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.671 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.671 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.672 * [backup-simplify]: Simplify (- 0) into 0
6.672 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.672 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.672 * [taylor]: Taking taylor expansion of U in J
6.672 * [backup-simplify]: Simplify U into U
6.672 * [backup-simplify]: Simplify (* 1 1) into 1
6.672 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.672 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.672 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.672 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.673 * [backup-simplify]: Simplify (+ 1 0) into 1
6.673 * [backup-simplify]: Simplify (sqrt 1) into 1
6.674 * [backup-simplify]: Simplify (+ 0 0) into 0
6.674 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.674 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.674 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.674 * [taylor]: Taking taylor expansion of 1 in U
6.674 * [backup-simplify]: Simplify 1 into 1
6.674 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.674 * [taylor]: Taking taylor expansion of 1/4 in U
6.674 * [backup-simplify]: Simplify 1/4 into 1/4
6.675 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.675 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.675 * [taylor]: Taking taylor expansion of J in U
6.675 * [backup-simplify]: Simplify J into J
6.675 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.675 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.675 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.675 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.675 * [taylor]: Taking taylor expansion of -1/2 in U
6.675 * [backup-simplify]: Simplify -1/2 into -1/2
6.675 * [taylor]: Taking taylor expansion of K in U
6.675 * [backup-simplify]: Simplify K into K
6.675 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.675 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.675 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.675 * [backup-simplify]: Simplify (- 0) into 0
6.675 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.675 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.675 * [taylor]: Taking taylor expansion of U in U
6.675 * [backup-simplify]: Simplify 0 into 0
6.675 * [backup-simplify]: Simplify 1 into 1
6.676 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.676 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.676 * [backup-simplify]: Simplify (* 1 1) into 1
6.676 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.676 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.676 * [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)))
6.676 * [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)))
6.677 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.677 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.678 * [backup-simplify]: Simplify (+ 0) into 0
6.679 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.679 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.680 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.680 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.681 * [backup-simplify]: Simplify (- 0) into 0
6.681 * [backup-simplify]: Simplify (+ 0 0) into 0
6.682 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.682 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.683 * [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
6.683 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.684 * [backup-simplify]: Simplify (+ 0 0) into 0
6.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.684 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.684 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.684 * [taylor]: Taking taylor expansion of 1 in U
6.684 * [backup-simplify]: Simplify 1 into 1
6.684 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.684 * [taylor]: Taking taylor expansion of 1/4 in U
6.684 * [backup-simplify]: Simplify 1/4 into 1/4
6.684 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.684 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.684 * [taylor]: Taking taylor expansion of J in U
6.684 * [backup-simplify]: Simplify J into J
6.684 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.685 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.685 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.685 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.685 * [taylor]: Taking taylor expansion of -1/2 in U
6.685 * [backup-simplify]: Simplify -1/2 into -1/2
6.685 * [taylor]: Taking taylor expansion of K in U
6.685 * [backup-simplify]: Simplify K into K
6.685 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.685 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.685 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.686 * [backup-simplify]: Simplify (- 0) into 0
6.686 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.686 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.686 * [taylor]: Taking taylor expansion of U in U
6.686 * [backup-simplify]: Simplify 0 into 0
6.686 * [backup-simplify]: Simplify 1 into 1
6.686 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.686 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.686 * [backup-simplify]: Simplify (* 1 1) into 1
6.686 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.687 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.687 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.687 * [backup-simplify]: Simplify (+ 0 (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
6.687 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.688 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.688 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.689 * [backup-simplify]: Simplify (+ 0) into 0
6.689 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.689 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.690 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.691 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.691 * [backup-simplify]: Simplify (- 0) into 0
6.691 * [backup-simplify]: Simplify (+ 0 0) into 0
6.692 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.692 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.693 * [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
6.693 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.694 * [backup-simplify]: Simplify (+ 0 0) into 0
6.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.694 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
6.694 * [taylor]: Taking taylor expansion of 1/2 in J
6.694 * [backup-simplify]: Simplify 1/2 into 1/2
6.694 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
6.694 * [taylor]: Taking taylor expansion of J in J
6.694 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 1 into 1
6.694 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.694 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.694 * [taylor]: Taking taylor expansion of -1/2 in J
6.694 * [backup-simplify]: Simplify -1/2 into -1/2
6.694 * [taylor]: Taking taylor expansion of K in J
6.694 * [backup-simplify]: Simplify K into K
6.694 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.695 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.695 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.695 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.695 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.695 * [backup-simplify]: Simplify (- 0) into 0
6.695 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.695 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.695 * [taylor]: Taking taylor expansion of 0 in J
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [taylor]: Taking taylor expansion of 0 in K
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
6.696 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
6.696 * [taylor]: Taking taylor expansion of 1/2 in K
6.696 * [backup-simplify]: Simplify 1/2 into 1/2
6.696 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.696 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.696 * [taylor]: Taking taylor expansion of -1/2 in K
6.696 * [backup-simplify]: Simplify -1/2 into -1/2
6.696 * [taylor]: Taking taylor expansion of K in K
6.696 * [backup-simplify]: Simplify 0 into 0
6.696 * [backup-simplify]: Simplify 1 into 1
6.696 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.697 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.697 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.697 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
6.697 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.699 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.700 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.700 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.701 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.702 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.702 * [backup-simplify]: Simplify (- 0) into 0
6.702 * [backup-simplify]: Simplify (+ 0 0) into 0
6.703 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
6.704 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.704 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
6.705 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
6.706 * [backup-simplify]: Simplify (+ 1 0) into 1
6.707 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
6.707 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.707 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.707 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.707 * [taylor]: Taking taylor expansion of -1/2 in J
6.707 * [backup-simplify]: Simplify -1/2 into -1/2
6.707 * [taylor]: Taking taylor expansion of K in J
6.707 * [backup-simplify]: Simplify K into K
6.707 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.707 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.707 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.707 * [taylor]: Taking taylor expansion of J in J
6.707 * [backup-simplify]: Simplify 0 into 0
6.707 * [backup-simplify]: Simplify 1 into 1
6.707 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.707 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.708 * [backup-simplify]: Simplify (- 0) into 0
6.708 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.708 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.708 * [backup-simplify]: Simplify (+ 0) into 0
6.709 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.709 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.710 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.710 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.711 * [backup-simplify]: Simplify (- 0) into 0
6.711 * [backup-simplify]: Simplify (+ 0 0) into 0
6.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.712 * [taylor]: Taking taylor expansion of 0 in K
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [taylor]: Taking taylor expansion of 0 in K
6.712 * [backup-simplify]: Simplify 0 into 0
6.712 * [backup-simplify]: Simplify 0 into 0
6.713 * [backup-simplify]: Simplify (+ 0) into 0
6.713 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.713 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.714 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.715 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.715 * [backup-simplify]: Simplify (- 0) into 0
6.715 * [backup-simplify]: Simplify (+ 0 0) into 0
6.716 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.717 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.717 * [taylor]: Taking taylor expansion of 0 in K
6.717 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.717 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.717 * [backup-simplify]: Simplify 0 into 0
6.718 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
6.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.725 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.726 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.727 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.729 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.730 * [backup-simplify]: Simplify (- 0) into 0
6.730 * [backup-simplify]: Simplify (+ 0 0) into 0
6.731 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
6.732 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.733 * [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
6.734 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.734 * [backup-simplify]: Simplify (+ 0 0) into 0
6.735 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
6.735 * [taylor]: Taking taylor expansion of 0 in J
6.735 * [backup-simplify]: Simplify 0 into 0
6.735 * [taylor]: Taking taylor expansion of 0 in K
6.735 * [backup-simplify]: Simplify 0 into 0
6.735 * [backup-simplify]: Simplify 0 into 0
6.735 * [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)))
6.735 * * * * [progress]: [ 2 / 4 ] generating series at (2)
6.736 * [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))))
6.736 * [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
6.736 * [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
6.736 * [taylor]: Taking taylor expansion of -2 in K
6.736 * [backup-simplify]: Simplify -2 into -2
6.736 * [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
6.736 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
6.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.736 * [taylor]: Taking taylor expansion of 1/2 in K
6.736 * [backup-simplify]: Simplify 1/2 into 1/2
6.736 * [taylor]: Taking taylor expansion of K in K
6.736 * [backup-simplify]: Simplify 0 into 0
6.736 * [backup-simplify]: Simplify 1 into 1
6.737 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.738 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.738 * [taylor]: Taking taylor expansion of J in K
6.738 * [backup-simplify]: Simplify J into J
6.738 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
6.738 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
6.738 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.738 * [taylor]: Taking taylor expansion of 1/4 in K
6.738 * [backup-simplify]: Simplify 1/4 into 1/4
6.738 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.738 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.738 * [taylor]: Taking taylor expansion of U in K
6.738 * [backup-simplify]: Simplify U into U
6.738 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.738 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.738 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.738 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.738 * [taylor]: Taking taylor expansion of 1/2 in K
6.738 * [backup-simplify]: Simplify 1/2 into 1/2
6.738 * [taylor]: Taking taylor expansion of K in K
6.738 * [backup-simplify]: Simplify 0 into 0
6.738 * [backup-simplify]: Simplify 1 into 1
6.739 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.740 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.740 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.740 * [taylor]: Taking taylor expansion of J in K
6.740 * [backup-simplify]: Simplify J into J
6.740 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.740 * [backup-simplify]: Simplify (* 1 1) into 1
6.740 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.740 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.740 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.741 * [taylor]: Taking taylor expansion of 1 in K
6.741 * [backup-simplify]: Simplify 1 into 1
6.741 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
6.741 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
6.741 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
6.741 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.741 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.742 * [backup-simplify]: Simplify (+ 0) into 0
6.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
6.744 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
6.745 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
6.745 * [backup-simplify]: Simplify (+ 0 0) into 0
6.745 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
6.745 * [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
6.745 * [taylor]: Taking taylor expansion of -2 in U
6.745 * [backup-simplify]: Simplify -2 into -2
6.746 * [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
6.746 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
6.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.746 * [taylor]: Taking taylor expansion of 1/2 in U
6.746 * [backup-simplify]: Simplify 1/2 into 1/2
6.746 * [taylor]: Taking taylor expansion of K in U
6.746 * [backup-simplify]: Simplify K into K
6.746 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.746 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.746 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.746 * [taylor]: Taking taylor expansion of J in U
6.746 * [backup-simplify]: Simplify J into J
6.746 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
6.746 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
6.746 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.746 * [taylor]: Taking taylor expansion of 1/4 in U
6.746 * [backup-simplify]: Simplify 1/4 into 1/4
6.746 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.746 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.746 * [taylor]: Taking taylor expansion of U in U
6.746 * [backup-simplify]: Simplify 0 into 0
6.746 * [backup-simplify]: Simplify 1 into 1
6.746 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.746 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.746 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.746 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.746 * [taylor]: Taking taylor expansion of 1/2 in U
6.746 * [backup-simplify]: Simplify 1/2 into 1/2
6.746 * [taylor]: Taking taylor expansion of K in U
6.746 * [backup-simplify]: Simplify K into K
6.746 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.747 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.747 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.747 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.747 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.747 * [backup-simplify]: Simplify (- 0) into 0
6.747 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.747 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.747 * [taylor]: Taking taylor expansion of J in U
6.747 * [backup-simplify]: Simplify J into J
6.748 * [backup-simplify]: Simplify (* 1 1) into 1
6.748 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.748 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.748 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.748 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.748 * [taylor]: Taking taylor expansion of 1 in U
6.748 * [backup-simplify]: Simplify 1 into 1
6.749 * [backup-simplify]: Simplify (+ 0 1) into 1
6.749 * [backup-simplify]: Simplify (sqrt 1) into 1
6.749 * [backup-simplify]: Simplify (+ 0 0) into 0
6.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.750 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
6.750 * [taylor]: Taking taylor expansion of -2 in J
6.750 * [backup-simplify]: Simplify -2 into -2
6.750 * [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
6.750 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.750 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.750 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.751 * [taylor]: Taking taylor expansion of 1/2 in J
6.751 * [backup-simplify]: Simplify 1/2 into 1/2
6.751 * [taylor]: Taking taylor expansion of K in J
6.751 * [backup-simplify]: Simplify K into K
6.751 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.751 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.751 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.751 * [taylor]: Taking taylor expansion of J in J
6.751 * [backup-simplify]: Simplify 0 into 0
6.751 * [backup-simplify]: Simplify 1 into 1
6.751 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.751 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.751 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.751 * [taylor]: Taking taylor expansion of 1/4 in J
6.751 * [backup-simplify]: Simplify 1/4 into 1/4
6.751 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.751 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.751 * [taylor]: Taking taylor expansion of U in J
6.751 * [backup-simplify]: Simplify U into U
6.751 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.751 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.751 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.751 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.751 * [taylor]: Taking taylor expansion of 1/2 in J
6.751 * [backup-simplify]: Simplify 1/2 into 1/2
6.751 * [taylor]: Taking taylor expansion of K in J
6.751 * [backup-simplify]: Simplify K into K
6.751 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.751 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.752 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.752 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.752 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.752 * [backup-simplify]: Simplify (- 0) into 0
6.752 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.752 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.752 * [taylor]: Taking taylor expansion of J in J
6.752 * [backup-simplify]: Simplify 0 into 0
6.752 * [backup-simplify]: Simplify 1 into 1
6.752 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.753 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.753 * [backup-simplify]: Simplify (* 1 1) into 1
6.753 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.753 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.753 * [taylor]: Taking taylor expansion of 1 in J
6.753 * [backup-simplify]: Simplify 1 into 1
6.753 * [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)))
6.754 * [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)))
6.754 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.754 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.755 * [backup-simplify]: Simplify (+ 0) into 0
6.756 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.757 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.757 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.758 * [backup-simplify]: Simplify (- 0) into 0
6.758 * [backup-simplify]: Simplify (+ 0 0) into 0
6.758 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.759 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.759 * [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
6.760 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.760 * [backup-simplify]: Simplify (+ 0 0) into 0
6.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.760 * [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
6.760 * [taylor]: Taking taylor expansion of -2 in J
6.760 * [backup-simplify]: Simplify -2 into -2
6.761 * [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
6.761 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
6.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.761 * [taylor]: Taking taylor expansion of 1/2 in J
6.761 * [backup-simplify]: Simplify 1/2 into 1/2
6.761 * [taylor]: Taking taylor expansion of K in J
6.761 * [backup-simplify]: Simplify K into K
6.761 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.761 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.761 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.761 * [taylor]: Taking taylor expansion of J in J
6.761 * [backup-simplify]: Simplify 0 into 0
6.761 * [backup-simplify]: Simplify 1 into 1
6.761 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
6.761 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
6.761 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.761 * [taylor]: Taking taylor expansion of 1/4 in J
6.761 * [backup-simplify]: Simplify 1/4 into 1/4
6.761 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.761 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.761 * [taylor]: Taking taylor expansion of U in J
6.761 * [backup-simplify]: Simplify U into U
6.761 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.761 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.761 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.761 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.761 * [taylor]: Taking taylor expansion of 1/2 in J
6.761 * [backup-simplify]: Simplify 1/2 into 1/2
6.761 * [taylor]: Taking taylor expansion of K in J
6.761 * [backup-simplify]: Simplify K into K
6.761 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.762 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.762 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.762 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.762 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.762 * [backup-simplify]: Simplify (- 0) into 0
6.762 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.762 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.762 * [taylor]: Taking taylor expansion of J in J
6.762 * [backup-simplify]: Simplify 0 into 0
6.762 * [backup-simplify]: Simplify 1 into 1
6.762 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.763 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.763 * [backup-simplify]: Simplify (* 1 1) into 1
6.763 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.763 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.763 * [taylor]: Taking taylor expansion of 1 in J
6.763 * [backup-simplify]: Simplify 1 into 1
6.763 * [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)))
6.764 * [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)))
6.764 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
6.764 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.765 * [backup-simplify]: Simplify (+ 0) into 0
6.766 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.767 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.768 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.768 * [backup-simplify]: Simplify (- 0) into 0
6.769 * [backup-simplify]: Simplify (+ 0 0) into 0
6.769 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.769 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.770 * [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
6.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
6.771 * [backup-simplify]: Simplify (+ 0 0) into 0
6.771 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.771 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.771 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.772 * [backup-simplify]: Simplify (- 0) into 0
6.772 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.772 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
6.772 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
6.772 * [backup-simplify]: Simplify (* -2 0) into 0
6.772 * [taylor]: Taking taylor expansion of 0 in U
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [taylor]: Taking taylor expansion of 0 in K
6.772 * [backup-simplify]: Simplify 0 into 0
6.772 * [backup-simplify]: Simplify 0 into 0
6.773 * [backup-simplify]: Simplify (+ 0) into 0
6.773 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.775 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.775 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.776 * [backup-simplify]: Simplify (- 0) into 0
6.776 * [backup-simplify]: Simplify (+ 0 0) into 0
6.777 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
6.777 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
6.778 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
6.778 * [taylor]: Taking taylor expansion of (- U) in U
6.778 * [taylor]: Taking taylor expansion of U in U
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 1 into 1
6.778 * [backup-simplify]: Simplify (- 0) into 0
6.778 * [taylor]: Taking taylor expansion of 0 in K
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [taylor]: Taking taylor expansion of 0 in K
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.778 * [backup-simplify]: Simplify 0 into 0
6.779 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
6.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.781 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.781 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.782 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.783 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.784 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.784 * [backup-simplify]: Simplify (- 0) into 0
6.785 * [backup-simplify]: Simplify (+ 0 0) into 0
6.785 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.786 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
6.786 * [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))))) into 0
6.787 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
6.788 * [backup-simplify]: Simplify (+ 0 1) into 1
6.789 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
6.790 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.790 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.791 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.792 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.793 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.793 * [backup-simplify]: Simplify (- 0) into 0
6.793 * [backup-simplify]: Simplify (+ 0 0) into 0
6.794 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
6.794 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
6.795 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
6.795 * [taylor]: Taking taylor expansion of 0 in U
6.795 * [backup-simplify]: Simplify 0 into 0
6.795 * [taylor]: Taking taylor expansion of 0 in K
6.795 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify (- 1) into -1
6.796 * [taylor]: Taking taylor expansion of -1 in K
6.796 * [backup-simplify]: Simplify -1 into -1
6.796 * [backup-simplify]: Simplify -1 into -1
6.796 * [taylor]: Taking taylor expansion of 0 in K
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.796 * [backup-simplify]: Simplify 0 into 0
6.797 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (+ (* 0 0) (* 0 U)))) into 0
6.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.799 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.800 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.802 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.803 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.804 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.805 * [backup-simplify]: Simplify (- 0) into 0
6.805 * [backup-simplify]: Simplify (+ 0 0) into 0
6.806 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
6.807 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.808 * [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
6.810 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
6.810 * [backup-simplify]: Simplify (+ 0 0) into 0
6.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (* 1/2 K)) U))))) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into 0
6.811 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.812 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.814 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
6.815 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.817 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.817 * [backup-simplify]: Simplify (- 0) into 0
6.818 * [backup-simplify]: Simplify (+ 0 0) into 0
6.819 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
6.820 * [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)
6.821 * [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)))
6.821 * [taylor]: Taking taylor expansion of (- (* 2 (/ (pow (cos (* 1/2 K)) 2) U))) in U
6.821 * [taylor]: Taking taylor expansion of (* 2 (/ (pow (cos (* 1/2 K)) 2) U)) in U
6.821 * [taylor]: Taking taylor expansion of 2 in U
6.821 * [backup-simplify]: Simplify 2 into 2
6.821 * [taylor]: Taking taylor expansion of (/ (pow (cos (* 1/2 K)) 2) U) in U
6.821 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.822 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.822 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.822 * [taylor]: Taking taylor expansion of 1/2 in U
6.822 * [backup-simplify]: Simplify 1/2 into 1/2
6.822 * [taylor]: Taking taylor expansion of K in U
6.822 * [backup-simplify]: Simplify K into K
6.822 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.822 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.822 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.822 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.822 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.822 * [backup-simplify]: Simplify (- 0) into 0
6.823 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.823 * [taylor]: Taking taylor expansion of U in U
6.823 * [backup-simplify]: Simplify 0 into 0
6.823 * [backup-simplify]: Simplify 1 into 1
6.823 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.823 * [backup-simplify]: Simplify (/ (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.823 * [backup-simplify]: Simplify (+ 0) into 0
6.824 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.826 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.826 * [backup-simplify]: Simplify (- 0) into 0
6.826 * [backup-simplify]: Simplify (+ 0 0) into 0
6.827 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (cos (* 1/2 K)) 2) (/ 0 1)))) into 0
6.828 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (pow (cos (* 1/2 K)) 2))) into 0
6.829 * [backup-simplify]: Simplify (- 0) into 0
6.829 * [taylor]: Taking taylor expansion of 0 in K
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [taylor]: Taking taylor expansion of 0 in K
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify 0 into 0
6.829 * [backup-simplify]: Simplify (* -1 (* 1 (* U 1))) into (* -1 U)
6.830 * [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)))
6.830 * [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
6.830 * [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
6.830 * [taylor]: Taking taylor expansion of -2 in K
6.830 * [backup-simplify]: Simplify -2 into -2
6.830 * [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
6.830 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
6.830 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
6.830 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
6.830 * [taylor]: Taking taylor expansion of 1/4 in K
6.830 * [backup-simplify]: Simplify 1/4 into 1/4
6.830 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
6.830 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.830 * [taylor]: Taking taylor expansion of J in K
6.830 * [backup-simplify]: Simplify J into J
6.830 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
6.830 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.830 * [taylor]: Taking taylor expansion of U in K
6.830 * [backup-simplify]: Simplify U into U
6.830 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
6.830 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.831 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.831 * [taylor]: Taking taylor expansion of 1/2 in K
6.831 * [backup-simplify]: Simplify 1/2 into 1/2
6.831 * [taylor]: Taking taylor expansion of K in K
6.831 * [backup-simplify]: Simplify 0 into 0
6.831 * [backup-simplify]: Simplify 1 into 1
6.831 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.831 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.831 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.831 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.832 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.832 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.832 * [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)))
6.832 * [taylor]: Taking taylor expansion of 1 in K
6.832 * [backup-simplify]: Simplify 1 into 1
6.832 * [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))))
6.833 * [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)
6.833 * [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))
6.833 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.833 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.833 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.834 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.834 * [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
6.835 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.836 * [backup-simplify]: Simplify (+ 0 0) into 0
6.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
6.836 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
6.836 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.836 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.836 * [taylor]: Taking taylor expansion of 1/2 in K
6.836 * [backup-simplify]: Simplify 1/2 into 1/2
6.836 * [taylor]: Taking taylor expansion of K in K
6.836 * [backup-simplify]: Simplify 0 into 0
6.836 * [backup-simplify]: Simplify 1 into 1
6.837 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.837 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.837 * [taylor]: Taking taylor expansion of J in K
6.837 * [backup-simplify]: Simplify J into J
6.837 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.837 * [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
6.837 * [taylor]: Taking taylor expansion of -2 in U
6.837 * [backup-simplify]: Simplify -2 into -2
6.837 * [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
6.837 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
6.837 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
6.837 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
6.837 * [taylor]: Taking taylor expansion of 1/4 in U
6.837 * [backup-simplify]: Simplify 1/4 into 1/4
6.837 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
6.837 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.837 * [taylor]: Taking taylor expansion of J in U
6.837 * [backup-simplify]: Simplify J into J
6.838 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
6.838 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.838 * [taylor]: Taking taylor expansion of U in U
6.838 * [backup-simplify]: Simplify 0 into 0
6.838 * [backup-simplify]: Simplify 1 into 1
6.838 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
6.838 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.838 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.838 * [taylor]: Taking taylor expansion of 1/2 in U
6.838 * [backup-simplify]: Simplify 1/2 into 1/2
6.838 * [taylor]: Taking taylor expansion of K in U
6.838 * [backup-simplify]: Simplify K into K
6.838 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.838 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.838 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.838 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.838 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.839 * [backup-simplify]: Simplify (- 0) into 0
6.839 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.839 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.839 * [backup-simplify]: Simplify (* 1 1) into 1
6.839 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.839 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
6.840 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
6.840 * [taylor]: Taking taylor expansion of 1 in U
6.840 * [backup-simplify]: Simplify 1 into 1
6.840 * [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)))
6.840 * [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)))
6.840 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
6.841 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.841 * [backup-simplify]: Simplify (+ 0) into 0
6.842 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.842 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.843 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.843 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.843 * [backup-simplify]: Simplify (- 0) into 0
6.844 * [backup-simplify]: Simplify (+ 0 0) into 0
6.844 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.846 * [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
6.846 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
6.847 * [backup-simplify]: Simplify (+ 0 0) into 0
6.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
6.847 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
6.847 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.847 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.847 * [taylor]: Taking taylor expansion of 1/2 in U
6.847 * [backup-simplify]: Simplify 1/2 into 1/2
6.847 * [taylor]: Taking taylor expansion of K in U
6.847 * [backup-simplify]: Simplify K into K
6.847 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.847 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.847 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.847 * [taylor]: Taking taylor expansion of J in U
6.848 * [backup-simplify]: Simplify J into J
6.848 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.848 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.848 * [backup-simplify]: Simplify (- 0) into 0
6.848 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.848 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
6.848 * [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
6.848 * [taylor]: Taking taylor expansion of -2 in J
6.848 * [backup-simplify]: Simplify -2 into -2
6.848 * [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
6.848 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.848 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.849 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.849 * [taylor]: Taking taylor expansion of 1/4 in J
6.849 * [backup-simplify]: Simplify 1/4 into 1/4
6.849 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.849 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.849 * [taylor]: Taking taylor expansion of J in J
6.849 * [backup-simplify]: Simplify 0 into 0
6.849 * [backup-simplify]: Simplify 1 into 1
6.849 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.849 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.849 * [taylor]: Taking taylor expansion of U in J
6.849 * [backup-simplify]: Simplify U into U
6.849 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.849 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.849 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.849 * [taylor]: Taking taylor expansion of 1/2 in J
6.849 * [backup-simplify]: Simplify 1/2 into 1/2
6.849 * [taylor]: Taking taylor expansion of K in J
6.849 * [backup-simplify]: Simplify K into K
6.849 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.849 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.849 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.849 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.849 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.850 * [backup-simplify]: Simplify (- 0) into 0
6.850 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.850 * [backup-simplify]: Simplify (* 1 1) into 1
6.850 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.851 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.851 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.851 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.851 * [taylor]: Taking taylor expansion of 1 in J
6.851 * [backup-simplify]: Simplify 1 into 1
6.852 * [backup-simplify]: Simplify (+ 0 1) into 1
6.852 * [backup-simplify]: Simplify (sqrt 1) into 1
6.852 * [backup-simplify]: Simplify (+ 0 0) into 0
6.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.853 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.853 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.853 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.853 * [taylor]: Taking taylor expansion of 1/2 in J
6.853 * [backup-simplify]: Simplify 1/2 into 1/2
6.853 * [taylor]: Taking taylor expansion of K in J
6.853 * [backup-simplify]: Simplify K into K
6.853 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.854 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.854 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.854 * [taylor]: Taking taylor expansion of J in J
6.854 * [backup-simplify]: Simplify 0 into 0
6.854 * [backup-simplify]: Simplify 1 into 1
6.854 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.854 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.855 * [backup-simplify]: Simplify (- 0) into 0
6.855 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.855 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.855 * [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
6.855 * [taylor]: Taking taylor expansion of -2 in J
6.855 * [backup-simplify]: Simplify -2 into -2
6.855 * [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
6.855 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
6.855 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
6.855 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
6.856 * [taylor]: Taking taylor expansion of 1/4 in J
6.856 * [backup-simplify]: Simplify 1/4 into 1/4
6.856 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
6.856 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.856 * [taylor]: Taking taylor expansion of J in J
6.856 * [backup-simplify]: Simplify 0 into 0
6.856 * [backup-simplify]: Simplify 1 into 1
6.856 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
6.856 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.856 * [taylor]: Taking taylor expansion of U in J
6.856 * [backup-simplify]: Simplify U into U
6.856 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
6.856 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.856 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.856 * [taylor]: Taking taylor expansion of 1/2 in J
6.856 * [backup-simplify]: Simplify 1/2 into 1/2
6.856 * [taylor]: Taking taylor expansion of K in J
6.856 * [backup-simplify]: Simplify K into K
6.856 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.856 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.856 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.857 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.857 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.857 * [backup-simplify]: Simplify (- 0) into 0
6.857 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.858 * [backup-simplify]: Simplify (* 1 1) into 1
6.858 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.858 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
6.858 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
6.859 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
6.859 * [taylor]: Taking taylor expansion of 1 in J
6.859 * [backup-simplify]: Simplify 1 into 1
6.859 * [backup-simplify]: Simplify (+ 0 1) into 1
6.860 * [backup-simplify]: Simplify (sqrt 1) into 1
6.860 * [backup-simplify]: Simplify (+ 0 0) into 0
6.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.861 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
6.861 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
6.861 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
6.861 * [taylor]: Taking taylor expansion of 1/2 in J
6.861 * [backup-simplify]: Simplify 1/2 into 1/2
6.861 * [taylor]: Taking taylor expansion of K in J
6.861 * [backup-simplify]: Simplify K into K
6.861 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.861 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.862 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.862 * [taylor]: Taking taylor expansion of J in J
6.862 * [backup-simplify]: Simplify 0 into 0
6.862 * [backup-simplify]: Simplify 1 into 1
6.862 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.862 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.862 * [backup-simplify]: Simplify (- 0) into 0
6.862 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.863 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.863 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
6.863 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.863 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
6.863 * [taylor]: Taking taylor expansion of -2 in U
6.863 * [backup-simplify]: Simplify -2 into -2
6.863 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.863 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.863 * [taylor]: Taking taylor expansion of 1/2 in U
6.863 * [backup-simplify]: Simplify 1/2 into 1/2
6.863 * [taylor]: Taking taylor expansion of K in U
6.863 * [backup-simplify]: Simplify K into K
6.863 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.863 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.863 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.864 * [backup-simplify]: Simplify (+ 0) into 0
6.864 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.865 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.865 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.865 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.866 * [backup-simplify]: Simplify (- 0) into 0
6.866 * [backup-simplify]: Simplify (+ 0 0) into 0
6.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
6.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
6.867 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.867 * [taylor]: Taking taylor expansion of 0 in U
6.867 * [backup-simplify]: Simplify 0 into 0
6.867 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.867 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.868 * [backup-simplify]: Simplify (- 0) into 0
6.868 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.868 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.868 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
6.868 * [taylor]: Taking taylor expansion of -2 in K
6.868 * [backup-simplify]: Simplify -2 into -2
6.868 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
6.868 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
6.868 * [taylor]: Taking taylor expansion of 1/2 in K
6.868 * [backup-simplify]: Simplify 1/2 into 1/2
6.868 * [taylor]: Taking taylor expansion of K in K
6.868 * [backup-simplify]: Simplify 0 into 0
6.868 * [backup-simplify]: Simplify 1 into 1
6.868 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.868 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.868 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.868 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
6.869 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.869 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.869 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.870 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.870 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.870 * [backup-simplify]: Simplify (- 0) into 0
6.871 * [backup-simplify]: Simplify (+ 0 0) into 0
6.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.872 * [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)))
6.872 * [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))))
6.873 * [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)))
6.873 * [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)))))
6.874 * [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))))))
6.874 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
6.874 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
6.874 * [taylor]: Taking taylor expansion of 1/4 in U
6.874 * [backup-simplify]: Simplify 1/4 into 1/4
6.874 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
6.874 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
6.874 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.874 * [taylor]: Taking taylor expansion of U in U
6.874 * [backup-simplify]: Simplify 0 into 0
6.874 * [backup-simplify]: Simplify 1 into 1
6.874 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
6.874 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
6.874 * [taylor]: Taking taylor expansion of 1/2 in U
6.874 * [backup-simplify]: Simplify 1/2 into 1/2
6.874 * [taylor]: Taking taylor expansion of K in U
6.874 * [backup-simplify]: Simplify K into K
6.874 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
6.874 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
6.874 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
6.874 * [backup-simplify]: Simplify (* 1 1) into 1
6.875 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
6.875 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
6.875 * [backup-simplify]: Simplify (- 0) into 0
6.875 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
6.875 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
6.875 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
6.875 * [backup-simplify]: Simplify (+ 0) into 0
6.876 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.876 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.876 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.876 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.877 * [backup-simplify]: Simplify (- 0) into 0
6.880 * [backup-simplify]: Simplify (+ 0 0) into 0
6.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
6.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
6.882 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
6.882 * [backup-simplify]: Simplify (- 0) into 0
6.882 * [taylor]: Taking taylor expansion of 0 in K
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [taylor]: Taking taylor expansion of 0 in K
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify 0 into 0
6.882 * [backup-simplify]: Simplify (+ 0) into 0
6.883 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.883 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.883 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.883 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.884 * [backup-simplify]: Simplify (- 0) into 0
6.884 * [backup-simplify]: Simplify (+ 0 0) into 0
6.884 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.884 * [taylor]: Taking taylor expansion of 0 in K
6.884 * [backup-simplify]: Simplify 0 into 0
6.884 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
6.885 * [backup-simplify]: Simplify 0 into 0
6.885 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.886 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.887 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.887 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.887 * [backup-simplify]: Simplify (- 0) into 0
6.887 * [backup-simplify]: Simplify (+ 0 0) into 0
6.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.889 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.889 * [backup-simplify]: Simplify (+ 0) into 0
6.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
6.890 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
6.890 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.890 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
6.891 * [backup-simplify]: Simplify (- 0) into 0
6.891 * [backup-simplify]: Simplify (+ 0 0) into 0
6.891 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
6.891 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.891 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
6.891 * [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
6.892 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
6.892 * [backup-simplify]: Simplify (+ 0 0) into 0
6.892 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
6.893 * [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
6.894 * [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
6.894 * [taylor]: Taking taylor expansion of 0 in U
6.894 * [backup-simplify]: Simplify 0 into 0
6.894 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.895 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.895 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.895 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.896 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.896 * [backup-simplify]: Simplify (- 0) into 0
6.896 * [backup-simplify]: Simplify (+ 0 0) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
6.897 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
6.898 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
6.898 * [backup-simplify]: Simplify (- 0) into 0
6.898 * [taylor]: Taking taylor expansion of 0 in K
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [taylor]: Taking taylor expansion of 0 in K
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify 0 into 0
6.898 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
6.899 * [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))))))))
6.899 * [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
6.899 * [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
6.899 * [taylor]: Taking taylor expansion of 2 in K
6.899 * [backup-simplify]: Simplify 2 into 2
6.899 * [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
6.899 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
6.899 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.899 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.899 * [taylor]: Taking taylor expansion of -1/2 in K
6.899 * [backup-simplify]: Simplify -1/2 into -1/2
6.899 * [taylor]: Taking taylor expansion of K in K
6.899 * [backup-simplify]: Simplify 0 into 0
6.899 * [backup-simplify]: Simplify 1 into 1
6.899 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.899 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.899 * [taylor]: Taking taylor expansion of J in K
6.899 * [backup-simplify]: Simplify J into J
6.899 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.899 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
6.899 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
6.900 * [taylor]: Taking taylor expansion of 1 in K
6.900 * [backup-simplify]: Simplify 1 into 1
6.900 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
6.900 * [taylor]: Taking taylor expansion of 1/4 in K
6.900 * [backup-simplify]: Simplify 1/4 into 1/4
6.900 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
6.900 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.900 * [taylor]: Taking taylor expansion of J in K
6.900 * [backup-simplify]: Simplify J into J
6.900 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
6.900 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
6.900 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.900 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.900 * [taylor]: Taking taylor expansion of -1/2 in K
6.900 * [backup-simplify]: Simplify -1/2 into -1/2
6.900 * [taylor]: Taking taylor expansion of K in K
6.900 * [backup-simplify]: Simplify 0 into 0
6.900 * [backup-simplify]: Simplify 1 into 1
6.900 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.900 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.900 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.900 * [taylor]: Taking taylor expansion of U in K
6.900 * [backup-simplify]: Simplify U into U
6.900 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.900 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.900 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.900 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.900 * [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)))
6.901 * [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))))
6.901 * [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)))))
6.901 * [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))))))
6.901 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.901 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.901 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.901 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.902 * [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
6.902 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.902 * [backup-simplify]: Simplify (+ 0 0) into 0
6.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
6.903 * [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
6.903 * [taylor]: Taking taylor expansion of 2 in U
6.903 * [backup-simplify]: Simplify 2 into 2
6.903 * [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
6.903 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
6.903 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.903 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.903 * [taylor]: Taking taylor expansion of -1/2 in U
6.903 * [backup-simplify]: Simplify -1/2 into -1/2
6.903 * [taylor]: Taking taylor expansion of K in U
6.903 * [backup-simplify]: Simplify K into K
6.903 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.903 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.903 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.903 * [taylor]: Taking taylor expansion of J in U
6.903 * [backup-simplify]: Simplify J into J
6.903 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.903 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.903 * [backup-simplify]: Simplify (- 0) into 0
6.903 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.903 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
6.903 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
6.903 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
6.903 * [taylor]: Taking taylor expansion of 1 in U
6.903 * [backup-simplify]: Simplify 1 into 1
6.904 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
6.904 * [taylor]: Taking taylor expansion of 1/4 in U
6.904 * [backup-simplify]: Simplify 1/4 into 1/4
6.904 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
6.904 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.904 * [taylor]: Taking taylor expansion of J in U
6.904 * [backup-simplify]: Simplify J into J
6.904 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
6.904 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
6.904 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.904 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.904 * [taylor]: Taking taylor expansion of -1/2 in U
6.904 * [backup-simplify]: Simplify -1/2 into -1/2
6.904 * [taylor]: Taking taylor expansion of K in U
6.904 * [backup-simplify]: Simplify K into K
6.904 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.904 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.904 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.904 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.904 * [backup-simplify]: Simplify (- 0) into 0
6.904 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.904 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.904 * [taylor]: Taking taylor expansion of U in U
6.904 * [backup-simplify]: Simplify 0 into 0
6.904 * [backup-simplify]: Simplify 1 into 1
6.904 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.904 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.905 * [backup-simplify]: Simplify (* 1 1) into 1
6.905 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
6.905 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
6.905 * [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)))
6.905 * [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)))
6.905 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
6.905 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.906 * [backup-simplify]: Simplify (+ 0) into 0
6.906 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.906 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.907 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.907 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.907 * [backup-simplify]: Simplify (- 0) into 0
6.908 * [backup-simplify]: Simplify (+ 0 0) into 0
6.908 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.908 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
6.908 * [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
6.909 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
6.909 * [backup-simplify]: Simplify (+ 0 0) into 0
6.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
6.909 * [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
6.909 * [taylor]: Taking taylor expansion of 2 in J
6.909 * [backup-simplify]: Simplify 2 into 2
6.909 * [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
6.909 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.909 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.909 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.909 * [taylor]: Taking taylor expansion of -1/2 in J
6.909 * [backup-simplify]: Simplify -1/2 into -1/2
6.909 * [taylor]: Taking taylor expansion of K in J
6.909 * [backup-simplify]: Simplify K into K
6.909 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.909 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.909 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.909 * [taylor]: Taking taylor expansion of J in J
6.909 * [backup-simplify]: Simplify 0 into 0
6.909 * [backup-simplify]: Simplify 1 into 1
6.909 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.909 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.910 * [backup-simplify]: Simplify (- 0) into 0
6.910 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.910 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.910 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.910 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.910 * [taylor]: Taking taylor expansion of 1 in J
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.910 * [taylor]: Taking taylor expansion of 1/4 in J
6.910 * [backup-simplify]: Simplify 1/4 into 1/4
6.910 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.910 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.910 * [taylor]: Taking taylor expansion of J in J
6.910 * [backup-simplify]: Simplify 0 into 0
6.910 * [backup-simplify]: Simplify 1 into 1
6.910 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.910 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.910 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.910 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.910 * [taylor]: Taking taylor expansion of -1/2 in J
6.910 * [backup-simplify]: Simplify -1/2 into -1/2
6.910 * [taylor]: Taking taylor expansion of K in J
6.910 * [backup-simplify]: Simplify K into K
6.910 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.910 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.910 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.910 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.910 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.911 * [backup-simplify]: Simplify (- 0) into 0
6.911 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.911 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.911 * [taylor]: Taking taylor expansion of U in J
6.911 * [backup-simplify]: Simplify U into U
6.911 * [backup-simplify]: Simplify (* 1 1) into 1
6.911 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.911 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.911 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.911 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.911 * [backup-simplify]: Simplify (+ 1 0) into 1
6.912 * [backup-simplify]: Simplify (sqrt 1) into 1
6.912 * [backup-simplify]: Simplify (+ 0 0) into 0
6.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.912 * [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
6.912 * [taylor]: Taking taylor expansion of 2 in J
6.912 * [backup-simplify]: Simplify 2 into 2
6.912 * [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
6.912 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
6.912 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.912 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.912 * [taylor]: Taking taylor expansion of -1/2 in J
6.912 * [backup-simplify]: Simplify -1/2 into -1/2
6.912 * [taylor]: Taking taylor expansion of K in J
6.913 * [backup-simplify]: Simplify K into K
6.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.913 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.913 * [taylor]: Taking taylor expansion of J in J
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.913 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.913 * [backup-simplify]: Simplify (- 0) into 0
6.913 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.913 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.913 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
6.913 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
6.913 * [taylor]: Taking taylor expansion of 1 in J
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
6.913 * [taylor]: Taking taylor expansion of 1/4 in J
6.913 * [backup-simplify]: Simplify 1/4 into 1/4
6.913 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
6.913 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.913 * [taylor]: Taking taylor expansion of J in J
6.913 * [backup-simplify]: Simplify 0 into 0
6.913 * [backup-simplify]: Simplify 1 into 1
6.913 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
6.913 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
6.913 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
6.913 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
6.913 * [taylor]: Taking taylor expansion of -1/2 in J
6.913 * [backup-simplify]: Simplify -1/2 into -1/2
6.913 * [taylor]: Taking taylor expansion of K in J
6.913 * [backup-simplify]: Simplify K into K
6.913 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.913 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.914 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.914 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.914 * [backup-simplify]: Simplify (- 0) into 0
6.914 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.914 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.914 * [taylor]: Taking taylor expansion of U in J
6.914 * [backup-simplify]: Simplify U into U
6.914 * [backup-simplify]: Simplify (* 1 1) into 1
6.914 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
6.914 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.914 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
6.915 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
6.915 * [backup-simplify]: Simplify (+ 1 0) into 1
6.915 * [backup-simplify]: Simplify (sqrt 1) into 1
6.915 * [backup-simplify]: Simplify (+ 0 0) into 0
6.916 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.916 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.916 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.916 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
6.916 * [taylor]: Taking taylor expansion of 2 in U
6.916 * [backup-simplify]: Simplify 2 into 2
6.916 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.916 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.916 * [taylor]: Taking taylor expansion of -1/2 in U
6.916 * [backup-simplify]: Simplify -1/2 into -1/2
6.916 * [taylor]: Taking taylor expansion of K in U
6.916 * [backup-simplify]: Simplify K into K
6.916 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.916 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.916 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.916 * [backup-simplify]: Simplify (+ 0) into 0
6.917 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.917 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.918 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.918 * [backup-simplify]: Simplify (- 0) into 0
6.918 * [backup-simplify]: Simplify (+ 0 0) into 0
6.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
6.919 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.919 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.919 * [taylor]: Taking taylor expansion of 0 in U
6.919 * [backup-simplify]: Simplify 0 into 0
6.919 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.919 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.920 * [backup-simplify]: Simplify (- 0) into 0
6.920 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.920 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.920 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
6.920 * [taylor]: Taking taylor expansion of 2 in K
6.920 * [backup-simplify]: Simplify 2 into 2
6.920 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
6.920 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
6.920 * [taylor]: Taking taylor expansion of -1/2 in K
6.920 * [backup-simplify]: Simplify -1/2 into -1/2
6.920 * [taylor]: Taking taylor expansion of K in K
6.920 * [backup-simplify]: Simplify 0 into 0
6.920 * [backup-simplify]: Simplify 1 into 1
6.920 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
6.920 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.920 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.920 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
6.921 * [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)))
6.921 * [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))))
6.922 * [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)))
6.922 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.922 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.923 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.923 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.923 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.924 * [backup-simplify]: Simplify (- 0) into 0
6.924 * [backup-simplify]: Simplify (+ 0 0) into 0
6.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.925 * [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))))
6.926 * [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))))
6.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in U
6.926 * [taylor]: Taking taylor expansion of 1/4 in U
6.926 * [backup-simplify]: Simplify 1/4 into 1/4
6.926 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in U
6.926 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
6.926 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
6.926 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
6.926 * [taylor]: Taking taylor expansion of -1/2 in U
6.926 * [backup-simplify]: Simplify -1/2 into -1/2
6.926 * [taylor]: Taking taylor expansion of K in U
6.926 * [backup-simplify]: Simplify K into K
6.926 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
6.926 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
6.926 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
6.926 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.926 * [taylor]: Taking taylor expansion of U in U
6.926 * [backup-simplify]: Simplify 0 into 0
6.926 * [backup-simplify]: Simplify 1 into 1
6.926 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.926 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
6.926 * [backup-simplify]: Simplify (- 0) into 0
6.926 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
6.927 * [backup-simplify]: Simplify (* 1 1) into 1
6.927 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
6.927 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
6.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.928 * [backup-simplify]: Simplify (+ 0) into 0
6.928 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.928 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.929 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.929 * [backup-simplify]: Simplify (- 0) into 0
6.929 * [backup-simplify]: Simplify (+ 0 0) into 0
6.929 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
6.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
6.930 * [taylor]: Taking taylor expansion of 0 in K
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [taylor]: Taking taylor expansion of 0 in K
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify 0 into 0
6.930 * [backup-simplify]: Simplify (+ 0) into 0
6.931 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.931 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.931 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.931 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.932 * [backup-simplify]: Simplify (- 0) into 0
6.932 * [backup-simplify]: Simplify (+ 0 0) into 0
6.932 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.932 * [taylor]: Taking taylor expansion of 0 in K
6.932 * [backup-simplify]: Simplify 0 into 0
6.932 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
6.933 * [backup-simplify]: Simplify 0 into 0
6.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.933 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
6.934 * [backup-simplify]: Simplify (+ 0) into 0
6.934 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
6.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
6.935 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.936 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
6.936 * [backup-simplify]: Simplify (- 0) into 0
6.936 * [backup-simplify]: Simplify (+ 0 0) into 0
6.936 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
6.937 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
6.937 * [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
6.938 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
6.938 * [backup-simplify]: Simplify (+ 0 0) into 0
6.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
6.940 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
6.941 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.941 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.942 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
6.943 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
6.943 * [backup-simplify]: Simplify (- 0) into 0
6.944 * [backup-simplify]: Simplify (+ 0 0) into 0
6.946 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.946 * [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
6.948 * [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
6.948 * [taylor]: Taking taylor expansion of 0 in U
6.948 * [backup-simplify]: Simplify 0 into 0
6.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.949 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.950 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.950 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
6.951 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.952 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.952 * [backup-simplify]: Simplify (- 0) into 0
6.952 * [backup-simplify]: Simplify (+ 0 0) into 0
6.953 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))) (* 0 (/ 0 (cos (/ -1/2 K)))))) into 0
6.954 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ -1/2 K)))))) into 0
6.954 * [taylor]: Taking taylor expansion of 0 in K
6.954 * [backup-simplify]: Simplify 0 into 0
6.954 * [backup-simplify]: Simplify 0 into 0
6.954 * [taylor]: Taking taylor expansion of 0 in K
6.954 * [backup-simplify]: Simplify 0 into 0
6.954 * [backup-simplify]: Simplify 0 into 0
6.955 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
6.955 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 1 2)
6.955 * [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))))
6.955 * [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
6.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
6.955 * [taylor]: Taking taylor expansion of 1/4 in K
6.955 * [backup-simplify]: Simplify 1/4 into 1/4
6.955 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
6.955 * [taylor]: Taking taylor expansion of (pow U 2) in K
6.955 * [taylor]: Taking taylor expansion of U in K
6.955 * [backup-simplify]: Simplify U into U
6.955 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
6.955 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.955 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.955 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.955 * [taylor]: Taking taylor expansion of 1/2 in K
6.955 * [backup-simplify]: Simplify 1/2 into 1/2
6.956 * [taylor]: Taking taylor expansion of K in K
6.956 * [backup-simplify]: Simplify 0 into 0
6.956 * [backup-simplify]: Simplify 1 into 1
6.956 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.957 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.957 * [taylor]: Taking taylor expansion of (pow J 2) in K
6.957 * [taylor]: Taking taylor expansion of J in K
6.957 * [backup-simplify]: Simplify J into J
6.957 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.957 * [backup-simplify]: Simplify (* 1 1) into 1
6.957 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.957 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
6.958 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
6.958 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
6.958 * [taylor]: Taking taylor expansion of 1/4 in J
6.958 * [backup-simplify]: Simplify 1/4 into 1/4
6.958 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.958 * [taylor]: Taking taylor expansion of (pow U 2) in J
6.958 * [taylor]: Taking taylor expansion of U in J
6.958 * [backup-simplify]: Simplify U into U
6.958 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.958 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.958 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.958 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.958 * [taylor]: Taking taylor expansion of 1/2 in J
6.958 * [backup-simplify]: Simplify 1/2 into 1/2
6.958 * [taylor]: Taking taylor expansion of K in J
6.958 * [backup-simplify]: Simplify K into K
6.958 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.958 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.958 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.958 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.958 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.959 * [backup-simplify]: Simplify (- 0) into 0
6.959 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.959 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.959 * [taylor]: Taking taylor expansion of J in J
6.959 * [backup-simplify]: Simplify 0 into 0
6.959 * [backup-simplify]: Simplify 1 into 1
6.959 * [backup-simplify]: Simplify (* U U) into (pow U 2)
6.959 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.959 * [backup-simplify]: Simplify (* 1 1) into 1
6.960 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.960 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
6.960 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.960 * [taylor]: Taking taylor expansion of 1/4 in U
6.960 * [backup-simplify]: Simplify 1/4 into 1/4
6.960 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.960 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.960 * [taylor]: Taking taylor expansion of U in U
6.960 * [backup-simplify]: Simplify 0 into 0
6.960 * [backup-simplify]: Simplify 1 into 1
6.960 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.960 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.960 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.960 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.960 * [taylor]: Taking taylor expansion of 1/2 in U
6.960 * [backup-simplify]: Simplify 1/2 into 1/2
6.960 * [taylor]: Taking taylor expansion of K in U
6.960 * [backup-simplify]: Simplify K into K
6.960 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.960 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.960 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.960 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.961 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.961 * [backup-simplify]: Simplify (- 0) into 0
6.961 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.961 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.961 * [taylor]: Taking taylor expansion of J in U
6.961 * [backup-simplify]: Simplify J into J
6.961 * [backup-simplify]: Simplify (* 1 1) into 1
6.962 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.962 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.962 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.962 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.962 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
6.962 * [taylor]: Taking taylor expansion of 1/4 in U
6.962 * [backup-simplify]: Simplify 1/4 into 1/4
6.962 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
6.962 * [taylor]: Taking taylor expansion of (pow U 2) in U
6.962 * [taylor]: Taking taylor expansion of U in U
6.962 * [backup-simplify]: Simplify 0 into 0
6.962 * [backup-simplify]: Simplify 1 into 1
6.962 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
6.962 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
6.962 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
6.962 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
6.962 * [taylor]: Taking taylor expansion of 1/2 in U
6.962 * [backup-simplify]: Simplify 1/2 into 1/2
6.962 * [taylor]: Taking taylor expansion of K in U
6.962 * [backup-simplify]: Simplify K into K
6.962 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.963 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.963 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.963 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.963 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.963 * [backup-simplify]: Simplify (- 0) into 0
6.963 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.963 * [taylor]: Taking taylor expansion of (pow J 2) in U
6.963 * [taylor]: Taking taylor expansion of J in U
6.963 * [backup-simplify]: Simplify J into J
6.964 * [backup-simplify]: Simplify (* 1 1) into 1
6.964 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.964 * [backup-simplify]: Simplify (* J J) into (pow J 2)
6.964 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
6.964 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
6.964 * [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)))
6.964 * [taylor]: Taking taylor expansion of (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
6.965 * [taylor]: Taking taylor expansion of 1/4 in J
6.965 * [backup-simplify]: Simplify 1/4 into 1/4
6.965 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
6.965 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
6.965 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
6.965 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
6.965 * [taylor]: Taking taylor expansion of 1/2 in J
6.965 * [backup-simplify]: Simplify 1/2 into 1/2
6.965 * [taylor]: Taking taylor expansion of K in J
6.965 * [backup-simplify]: Simplify K into K
6.965 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
6.965 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
6.965 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
6.965 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
6.965 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
6.965 * [backup-simplify]: Simplify (- 0) into 0
6.966 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
6.966 * [taylor]: Taking taylor expansion of (pow J 2) in J
6.966 * [taylor]: Taking taylor expansion of J in J
6.966 * [backup-simplify]: Simplify 0 into 0
6.966 * [backup-simplify]: Simplify 1 into 1
6.966 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
6.966 * [backup-simplify]: Simplify (* 1 1) into 1
6.966 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
6.966 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (* 1/2 K)) 2)) into (/ 1/4 (pow (cos (* 1/2 K)) 2))
6.966 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (* 1/2 K)) 2)) in K
6.966 * [taylor]: Taking taylor expansion of 1/4 in K
6.966 * [backup-simplify]: Simplify 1/4 into 1/4
6.967 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
6.967 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
6.967 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
6.967 * [taylor]: Taking taylor expansion of 1/2 in K
6.967 * [backup-simplify]: Simplify 1/2 into 1/2
6.967 * [taylor]: Taking taylor expansion of K in K
6.967 * [backup-simplify]: Simplify 0 into 0
6.967 * [backup-simplify]: Simplify 1 into 1
6.967 * [backup-simplify]: Simplify (* 1/2 0) into 0
6.968 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
6.968 * [backup-simplify]: Simplify (* 1 1) into 1
6.969 * [backup-simplify]: Simplify (/ 1/4 1) into 1/4
6.969 * [backup-simplify]: Simplify 1/4 into 1/4
6.969 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
6.970 * [backup-simplify]: Simplify (+ 0) into 0
6.970 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.971 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.971 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.972 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.972 * [backup-simplify]: Simplify (- 0) into 0
6.973 * [backup-simplify]: Simplify (+ 0 0) into 0
6.973 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.973 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
6.974 * [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
6.974 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
6.974 * [taylor]: Taking taylor expansion of 0 in J
6.974 * [backup-simplify]: Simplify 0 into 0
6.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.975 * [backup-simplify]: Simplify (+ 0) into 0
6.976 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
6.976 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
6.977 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
6.977 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
6.978 * [backup-simplify]: Simplify (- 0) into 0
6.978 * [backup-simplify]: Simplify (+ 0 0) into 0
6.978 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
6.979 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
6.979 * [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
6.979 * [taylor]: Taking taylor expansion of 0 in K
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify 0 into 0
6.979 * [backup-simplify]: Simplify (+ 0) into 0
6.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.981 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)))) into 0
6.981 * [backup-simplify]: Simplify 0 into 0
6.982 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.982 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
6.983 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.984 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
6.984 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
6.985 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
6.986 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
6.986 * [backup-simplify]: Simplify (- 0) into 0
6.986 * [backup-simplify]: Simplify (+ 0 0) into 0
6.987 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
6.987 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 (pow J 2)))) into 0
6.988 * [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
6.995 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))))) into 0
6.995 * [taylor]: Taking taylor expansion of 0 in J
6.995 * [backup-simplify]: Simplify 0 into 0
6.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.998 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
6.999 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.000 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.001 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.001 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.002 * [backup-simplify]: Simplify (- 0) into 0
7.002 * [backup-simplify]: Simplify (+ 0 0) into 0
7.003 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
7.004 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.004 * [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
7.004 * [taylor]: Taking taylor expansion of 0 in K
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 0 into 0
7.004 * [backup-simplify]: Simplify 0 into 0
7.005 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
7.006 * [backup-simplify]: Simplify (+ (* 1 -1/8) (+ (* 0 0) (* -1/8 1))) into -1/4
7.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ -1/4 1)) (* 0 (/ 0 1)))) into 1/16
7.008 * [backup-simplify]: Simplify 1/16 into 1/16
7.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.010 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
7.011 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.012 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.013 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.014 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.015 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.016 * [backup-simplify]: Simplify (- 0) into 0
7.016 * [backup-simplify]: Simplify (+ 0 0) into 0
7.017 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
7.018 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2))))) into 0
7.019 * [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
7.020 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) into 0
7.020 * [taylor]: Taking taylor expansion of 0 in J
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [taylor]: Taking taylor expansion of 0 in K
7.020 * [backup-simplify]: Simplify 0 into 0
7.020 * [backup-simplify]: Simplify 0 into 0
7.022 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.023 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.023 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.025 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.026 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.027 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.028 * [backup-simplify]: Simplify (- 0) into 0
7.028 * [backup-simplify]: Simplify (+ 0 0) into 0
7.029 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K)))))) into 0
7.031 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.032 * [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
7.032 * [taylor]: Taking taylor expansion of 0 in K
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.032 * [backup-simplify]: Simplify 0 into 0
7.033 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
7.035 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 -1/8) (+ (* -1/8 0) (* 0 1)))) into 0
7.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/4 (/ 0 1)) (* 0 (/ -1/4 1)) (* 1/16 (/ 0 1)))) into 0
7.038 * [backup-simplify]: Simplify 0 into 0
7.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.041 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 J))))) into 0
7.043 * [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
7.045 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.046 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 K))))) into 0
7.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 2) 2) (/ (pow 0 1) 1)) 0 0 (* 1 (/ (pow 0 1) 1))) into 0
7.049 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 0))))) into 0
7.050 * [backup-simplify]: Simplify (- 0) into 0
7.050 * [backup-simplify]: Simplify (+ 0 0) into 0
7.051 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))))) into 0
7.053 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow J 2)))))) into 0
7.054 * [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
7.055 * [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
7.055 * [taylor]: Taking taylor expansion of 0 in J
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [taylor]: Taking taylor expansion of 0 in K
7.055 * [backup-simplify]: Simplify 0 into 0
7.055 * [backup-simplify]: Simplify 0 into 0
7.056 * [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))))
7.056 * [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))))
7.056 * [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
7.056 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
7.056 * [taylor]: Taking taylor expansion of 1/4 in K
7.056 * [backup-simplify]: Simplify 1/4 into 1/4
7.056 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
7.056 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.056 * [taylor]: Taking taylor expansion of J in K
7.056 * [backup-simplify]: Simplify J into J
7.056 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
7.056 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.056 * [taylor]: Taking taylor expansion of U in K
7.057 * [backup-simplify]: Simplify U into U
7.057 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.057 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.057 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.057 * [taylor]: Taking taylor expansion of 1/2 in K
7.057 * [backup-simplify]: Simplify 1/2 into 1/2
7.057 * [taylor]: Taking taylor expansion of K in K
7.057 * [backup-simplify]: Simplify 0 into 0
7.057 * [backup-simplify]: Simplify 1 into 1
7.057 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.057 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.057 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.057 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.057 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.058 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.058 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.058 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
7.058 * [taylor]: Taking taylor expansion of 1/4 in J
7.058 * [backup-simplify]: Simplify 1/4 into 1/4
7.058 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
7.058 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.058 * [taylor]: Taking taylor expansion of J in J
7.058 * [backup-simplify]: Simplify 0 into 0
7.058 * [backup-simplify]: Simplify 1 into 1
7.058 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
7.058 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.058 * [taylor]: Taking taylor expansion of U in J
7.058 * [backup-simplify]: Simplify U into U
7.058 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.058 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.058 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.058 * [taylor]: Taking taylor expansion of 1/2 in J
7.058 * [backup-simplify]: Simplify 1/2 into 1/2
7.058 * [taylor]: Taking taylor expansion of K in J
7.058 * [backup-simplify]: Simplify K into K
7.058 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.058 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.058 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.059 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.059 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.059 * [backup-simplify]: Simplify (- 0) into 0
7.059 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.059 * [backup-simplify]: Simplify (* 1 1) into 1
7.060 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.060 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.060 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
7.060 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
7.060 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.060 * [taylor]: Taking taylor expansion of 1/4 in U
7.060 * [backup-simplify]: Simplify 1/4 into 1/4
7.060 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.060 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.060 * [taylor]: Taking taylor expansion of J in U
7.060 * [backup-simplify]: Simplify J into J
7.060 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.060 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.060 * [taylor]: Taking taylor expansion of U in U
7.060 * [backup-simplify]: Simplify 0 into 0
7.060 * [backup-simplify]: Simplify 1 into 1
7.060 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.060 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.060 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.060 * [taylor]: Taking taylor expansion of 1/2 in U
7.060 * [backup-simplify]: Simplify 1/2 into 1/2
7.060 * [taylor]: Taking taylor expansion of K in U
7.060 * [backup-simplify]: Simplify K into K
7.060 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.060 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.061 * [backup-simplify]: Simplify (- 0) into 0
7.061 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.061 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.062 * [backup-simplify]: Simplify (* 1 1) into 1
7.062 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.062 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.062 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.062 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
7.062 * [taylor]: Taking taylor expansion of 1/4 in U
7.062 * [backup-simplify]: Simplify 1/4 into 1/4
7.062 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
7.062 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.062 * [taylor]: Taking taylor expansion of J in U
7.062 * [backup-simplify]: Simplify J into J
7.062 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
7.062 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.062 * [taylor]: Taking taylor expansion of U in U
7.062 * [backup-simplify]: Simplify 0 into 0
7.062 * [backup-simplify]: Simplify 1 into 1
7.062 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
7.062 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
7.062 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
7.062 * [taylor]: Taking taylor expansion of 1/2 in U
7.062 * [backup-simplify]: Simplify 1/2 into 1/2
7.062 * [taylor]: Taking taylor expansion of K in U
7.062 * [backup-simplify]: Simplify K into K
7.062 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.062 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.063 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.063 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.063 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.063 * [backup-simplify]: Simplify (- 0) into 0
7.063 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.063 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.064 * [backup-simplify]: Simplify (* 1 1) into 1
7.064 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.064 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
7.064 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
7.064 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))
7.064 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))) in J
7.064 * [taylor]: Taking taylor expansion of 1/4 in J
7.064 * [backup-simplify]: Simplify 1/4 into 1/4
7.064 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) in J
7.064 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.064 * [taylor]: Taking taylor expansion of J in J
7.064 * [backup-simplify]: Simplify 0 into 0
7.064 * [backup-simplify]: Simplify 1 into 1
7.064 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
7.064 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.064 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.064 * [taylor]: Taking taylor expansion of 1/2 in J
7.065 * [backup-simplify]: Simplify 1/2 into 1/2
7.065 * [taylor]: Taking taylor expansion of K in J
7.065 * [backup-simplify]: Simplify K into K
7.065 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.065 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.065 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.065 * [backup-simplify]: Simplify (- 0) into 0
7.065 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.066 * [backup-simplify]: Simplify (* 1 1) into 1
7.066 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.066 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ 1/2 K)) 2)) into (/ 1 (pow (cos (/ 1/2 K)) 2))
7.066 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ 1/2 K)) 2))) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.066 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ 1/2 K)) 2)) in K
7.066 * [taylor]: Taking taylor expansion of 1/4 in K
7.066 * [backup-simplify]: Simplify 1/4 into 1/4
7.066 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
7.066 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.066 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.066 * [taylor]: Taking taylor expansion of 1/2 in K
7.066 * [backup-simplify]: Simplify 1/2 into 1/2
7.066 * [taylor]: Taking taylor expansion of K in K
7.066 * [backup-simplify]: Simplify 0 into 0
7.066 * [backup-simplify]: Simplify 1 into 1
7.067 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.067 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.067 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
7.067 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.067 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ 1/2 K)) 2)) into (/ 1/4 (pow (cos (/ 1/2 K)) 2))
7.067 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.068 * [backup-simplify]: Simplify (+ 0) into 0
7.068 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.068 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.069 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.069 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.070 * [backup-simplify]: Simplify (- 0) into 0
7.070 * [backup-simplify]: Simplify (+ 0 0) into 0
7.070 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.071 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
7.072 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
7.072 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
7.072 * [taylor]: Taking taylor expansion of 0 in J
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [taylor]: Taking taylor expansion of 0 in K
7.072 * [backup-simplify]: Simplify 0 into 0
7.072 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.073 * [backup-simplify]: Simplify (+ 0) into 0
7.074 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.074 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.075 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.075 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.076 * [backup-simplify]: Simplify (- 0) into 0
7.076 * [backup-simplify]: Simplify (+ 0 0) into 0
7.076 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.076 * [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
7.077 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2)))) into 0
7.077 * [taylor]: Taking taylor expansion of 0 in K
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
7.077 * [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
7.077 * [backup-simplify]: Simplify 0 into 0
7.077 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.078 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.078 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.079 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.079 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.079 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.080 * [backup-simplify]: Simplify (- 0) into 0
7.080 * [backup-simplify]: Simplify (+ 0 0) into 0
7.080 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
7.082 * [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
7.082 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
7.082 * [taylor]: Taking taylor expansion of 0 in J
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [taylor]: Taking taylor expansion of 0 in K
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [taylor]: Taking taylor expansion of 0 in K
7.083 * [backup-simplify]: Simplify 0 into 0
7.083 * [backup-simplify]: Simplify 0 into 0
7.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.084 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.085 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.085 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.085 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.086 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.086 * [backup-simplify]: Simplify (- 0) into 0
7.086 * [backup-simplify]: Simplify (+ 0 0) into 0
7.087 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
7.087 * [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
7.088 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ 1/2 K)) 2))))) into 0
7.088 * [taylor]: Taking taylor expansion of 0 in K
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [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))))
7.088 * [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))))
7.088 * [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
7.088 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
7.088 * [taylor]: Taking taylor expansion of 1/4 in K
7.088 * [backup-simplify]: Simplify 1/4 into 1/4
7.088 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
7.088 * [taylor]: Taking taylor expansion of (pow J 2) in K
7.088 * [taylor]: Taking taylor expansion of J in K
7.088 * [backup-simplify]: Simplify J into J
7.088 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
7.088 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.088 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.088 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.088 * [taylor]: Taking taylor expansion of -1/2 in K
7.088 * [backup-simplify]: Simplify -1/2 into -1/2
7.088 * [taylor]: Taking taylor expansion of K in K
7.088 * [backup-simplify]: Simplify 0 into 0
7.088 * [backup-simplify]: Simplify 1 into 1
7.089 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.089 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.089 * [taylor]: Taking taylor expansion of (pow U 2) in K
7.089 * [taylor]: Taking taylor expansion of U in K
7.089 * [backup-simplify]: Simplify U into U
7.089 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.089 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.089 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.089 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.089 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.089 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
7.089 * [taylor]: Taking taylor expansion of 1/4 in J
7.089 * [backup-simplify]: Simplify 1/4 into 1/4
7.089 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
7.089 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.089 * [taylor]: Taking taylor expansion of J in J
7.089 * [backup-simplify]: Simplify 0 into 0
7.089 * [backup-simplify]: Simplify 1 into 1
7.089 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
7.089 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.090 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.090 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.090 * [taylor]: Taking taylor expansion of -1/2 in J
7.090 * [backup-simplify]: Simplify -1/2 into -1/2
7.090 * [taylor]: Taking taylor expansion of K in J
7.090 * [backup-simplify]: Simplify K into K
7.090 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.090 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.090 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.090 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.090 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.090 * [backup-simplify]: Simplify (- 0) into 0
7.090 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.090 * [taylor]: Taking taylor expansion of (pow U 2) in J
7.090 * [taylor]: Taking taylor expansion of U in J
7.090 * [backup-simplify]: Simplify U into U
7.090 * [backup-simplify]: Simplify (* 1 1) into 1
7.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.091 * [backup-simplify]: Simplify (* U U) into (pow U 2)
7.091 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
7.091 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
7.091 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.091 * [taylor]: Taking taylor expansion of 1/4 in U
7.091 * [backup-simplify]: Simplify 1/4 into 1/4
7.091 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.091 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.091 * [taylor]: Taking taylor expansion of J in U
7.091 * [backup-simplify]: Simplify J into J
7.091 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.091 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.091 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.091 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.091 * [taylor]: Taking taylor expansion of -1/2 in U
7.091 * [backup-simplify]: Simplify -1/2 into -1/2
7.091 * [taylor]: Taking taylor expansion of K in U
7.091 * [backup-simplify]: Simplify K into K
7.091 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.091 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.091 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.091 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.091 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.092 * [backup-simplify]: Simplify (- 0) into 0
7.092 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.092 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.092 * [taylor]: Taking taylor expansion of U in U
7.092 * [backup-simplify]: Simplify 0 into 0
7.092 * [backup-simplify]: Simplify 1 into 1
7.092 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.092 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.092 * [backup-simplify]: Simplify (* 1 1) into 1
7.092 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.092 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.092 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
7.092 * [taylor]: Taking taylor expansion of 1/4 in U
7.092 * [backup-simplify]: Simplify 1/4 into 1/4
7.092 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
7.092 * [taylor]: Taking taylor expansion of (pow J 2) in U
7.093 * [taylor]: Taking taylor expansion of J in U
7.093 * [backup-simplify]: Simplify J into J
7.093 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
7.093 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
7.093 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
7.093 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
7.093 * [taylor]: Taking taylor expansion of -1/2 in U
7.093 * [backup-simplify]: Simplify -1/2 into -1/2
7.093 * [taylor]: Taking taylor expansion of K in U
7.093 * [backup-simplify]: Simplify K into K
7.093 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.093 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.093 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.093 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.093 * [backup-simplify]: Simplify (- 0) into 0
7.093 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.093 * [taylor]: Taking taylor expansion of (pow U 2) in U
7.093 * [taylor]: Taking taylor expansion of U in U
7.093 * [backup-simplify]: Simplify 0 into 0
7.093 * [backup-simplify]: Simplify 1 into 1
7.093 * [backup-simplify]: Simplify (* J J) into (pow J 2)
7.093 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.094 * [backup-simplify]: Simplify (* 1 1) into 1
7.094 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
7.094 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
7.094 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) into (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))
7.094 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))) in J
7.094 * [taylor]: Taking taylor expansion of 1/4 in J
7.094 * [backup-simplify]: Simplify 1/4 into 1/4
7.094 * [taylor]: Taking taylor expansion of (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) in J
7.094 * [taylor]: Taking taylor expansion of (pow J 2) in J
7.094 * [taylor]: Taking taylor expansion of J in J
7.094 * [backup-simplify]: Simplify 0 into 0
7.094 * [backup-simplify]: Simplify 1 into 1
7.094 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
7.094 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.094 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.094 * [taylor]: Taking taylor expansion of -1/2 in J
7.094 * [backup-simplify]: Simplify -1/2 into -1/2
7.094 * [taylor]: Taking taylor expansion of K in J
7.094 * [backup-simplify]: Simplify K into K
7.094 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.094 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.094 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.094 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.095 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.095 * [backup-simplify]: Simplify (- 0) into 0
7.095 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.095 * [backup-simplify]: Simplify (* 1 1) into 1
7.095 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.095 * [backup-simplify]: Simplify (/ 1 (pow (cos (/ -1/2 K)) 2)) into (/ 1 (pow (cos (/ -1/2 K)) 2))
7.095 * [backup-simplify]: Simplify (* 1/4 (/ 1 (pow (cos (/ -1/2 K)) 2))) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.095 * [taylor]: Taking taylor expansion of (/ 1/4 (pow (cos (/ -1/2 K)) 2)) in K
7.095 * [taylor]: Taking taylor expansion of 1/4 in K
7.096 * [backup-simplify]: Simplify 1/4 into 1/4
7.096 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
7.096 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.096 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.096 * [taylor]: Taking taylor expansion of -1/2 in K
7.096 * [backup-simplify]: Simplify -1/2 into -1/2
7.096 * [taylor]: Taking taylor expansion of K in K
7.096 * [backup-simplify]: Simplify 0 into 0
7.096 * [backup-simplify]: Simplify 1 into 1
7.096 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.096 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.096 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
7.096 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.096 * [backup-simplify]: Simplify (/ 1/4 (pow (cos (/ -1/2 K)) 2)) into (/ 1/4 (pow (cos (/ -1/2 K)) 2))
7.096 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
7.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.097 * [backup-simplify]: Simplify (+ 0) into 0
7.097 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.098 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.098 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.098 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.099 * [backup-simplify]: Simplify (- 0) into 0
7.099 * [backup-simplify]: Simplify (+ 0 0) into 0
7.099 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.099 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
7.099 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
7.100 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
7.100 * [taylor]: Taking taylor expansion of 0 in J
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [taylor]: Taking taylor expansion of 0 in K
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify 0 into 0
7.100 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.101 * [backup-simplify]: Simplify (+ 0) into 0
7.101 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.101 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.102 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.102 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.102 * [backup-simplify]: Simplify (- 0) into 0
7.102 * [backup-simplify]: Simplify (+ 0 0) into 0
7.102 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.103 * [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
7.103 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2)))) into 0
7.103 * [taylor]: Taking taylor expansion of 0 in K
7.103 * [backup-simplify]: Simplify 0 into 0
7.103 * [backup-simplify]: Simplify 0 into 0
7.103 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
7.103 * [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
7.103 * [backup-simplify]: Simplify 0 into 0
7.104 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
7.104 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.105 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.105 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.105 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.106 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.106 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.106 * [backup-simplify]: Simplify (- 0) into 0
7.107 * [backup-simplify]: Simplify (+ 0 0) into 0
7.107 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.107 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
7.108 * [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
7.109 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
7.109 * [taylor]: Taking taylor expansion of 0 in J
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [taylor]: Taking taylor expansion of 0 in K
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [taylor]: Taking taylor expansion of 0 in K
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.110 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.110 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.110 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.111 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.111 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.111 * [backup-simplify]: Simplify (- 0) into 0
7.112 * [backup-simplify]: Simplify (+ 0 0) into 0
7.112 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.112 * [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
7.113 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (pow (cos (/ -1/2 K)) 2))))) into 0
7.113 * [taylor]: Taking taylor expansion of 0 in K
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [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))))
7.113 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 1 2 2 2)
7.113 * [backup-simplify]: Simplify (* J (cos (/ K 2))) into (* (cos (* 1/2 K)) J)
7.113 * [approximate]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in (J K) around 0
7.113 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
7.113 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.113 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.113 * [taylor]: Taking taylor expansion of 1/2 in K
7.113 * [backup-simplify]: Simplify 1/2 into 1/2
7.113 * [taylor]: Taking taylor expansion of K in K
7.113 * [backup-simplify]: Simplify 0 into 0
7.113 * [backup-simplify]: Simplify 1 into 1
7.114 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.114 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.114 * [taylor]: Taking taylor expansion of J in K
7.114 * [backup-simplify]: Simplify J into J
7.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.114 * [taylor]: Taking taylor expansion of 1/2 in J
7.114 * [backup-simplify]: Simplify 1/2 into 1/2
7.114 * [taylor]: Taking taylor expansion of K in J
7.114 * [backup-simplify]: Simplify K into K
7.114 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.114 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.114 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.114 * [taylor]: Taking taylor expansion of J in J
7.114 * [backup-simplify]: Simplify 0 into 0
7.114 * [backup-simplify]: Simplify 1 into 1
7.114 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
7.114 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
7.114 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
7.114 * [taylor]: Taking taylor expansion of 1/2 in J
7.114 * [backup-simplify]: Simplify 1/2 into 1/2
7.115 * [taylor]: Taking taylor expansion of K in J
7.115 * [backup-simplify]: Simplify K into K
7.115 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
7.115 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
7.115 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
7.115 * [taylor]: Taking taylor expansion of J in J
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 1 into 1
7.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
7.115 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
7.115 * [backup-simplify]: Simplify (- 0) into 0
7.115 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
7.115 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
7.115 * [taylor]: Taking taylor expansion of 0 in K
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify 0 into 0
7.115 * [backup-simplify]: Simplify (+ 0) into 0
7.116 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
7.116 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
7.117 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.117 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
7.117 * [backup-simplify]: Simplify (- 0) into 0
7.117 * [backup-simplify]: Simplify (+ 0 0) into 0
7.118 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
7.118 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
7.118 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
7.118 * [taylor]: Taking taylor expansion of 1/2 in K
7.118 * [backup-simplify]: Simplify 1/2 into 1/2
7.118 * [taylor]: Taking taylor expansion of K in K
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [backup-simplify]: Simplify (* 1/2 0) into 0
7.118 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
7.118 * [backup-simplify]: Simplify 1 into 1
7.119 * [backup-simplify]: Simplify 0 into 0
7.119 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.119 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.123 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
7.124 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.124 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.125 * [backup-simplify]: Simplify (- 0) into 0
7.125 * [backup-simplify]: Simplify (+ 0 0) into 0
7.125 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
7.125 * [taylor]: Taking taylor expansion of 0 in K
7.125 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify (+ 0) into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify 0 into 0
7.126 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.127 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.128 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 K)))) into 0
7.129 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.129 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.129 * [backup-simplify]: Simplify (- 0) into 0
7.129 * [backup-simplify]: Simplify (+ 0 0) into 0
7.130 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.130 * [taylor]: Taking taylor expansion of 0 in K
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify (* 1 (* 1 J)) into J
7.130 * [backup-simplify]: Simplify (* (/ 1 J) (cos (/ (/ 1 K) 2))) into (/ (cos (/ 1/2 K)) J)
7.130 * [approximate]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in (J K) around 0
7.130 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
7.130 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.130 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.130 * [taylor]: Taking taylor expansion of 1/2 in K
7.130 * [backup-simplify]: Simplify 1/2 into 1/2
7.130 * [taylor]: Taking taylor expansion of K in K
7.130 * [backup-simplify]: Simplify 0 into 0
7.130 * [backup-simplify]: Simplify 1 into 1
7.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.131 * [taylor]: Taking taylor expansion of J in K
7.131 * [backup-simplify]: Simplify J into J
7.131 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
7.131 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.131 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.131 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.131 * [taylor]: Taking taylor expansion of 1/2 in J
7.131 * [backup-simplify]: Simplify 1/2 into 1/2
7.131 * [taylor]: Taking taylor expansion of K in J
7.131 * [backup-simplify]: Simplify K into K
7.131 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.131 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.131 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.131 * [taylor]: Taking taylor expansion of J in J
7.131 * [backup-simplify]: Simplify 0 into 0
7.131 * [backup-simplify]: Simplify 1 into 1
7.131 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.131 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.131 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.132 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.132 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
7.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
7.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
7.132 * [taylor]: Taking taylor expansion of 1/2 in J
7.132 * [backup-simplify]: Simplify 1/2 into 1/2
7.132 * [taylor]: Taking taylor expansion of K in J
7.132 * [backup-simplify]: Simplify K into K
7.132 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
7.132 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.132 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
7.132 * [taylor]: Taking taylor expansion of J in J
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 1 into 1
7.132 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.132 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
7.132 * [backup-simplify]: Simplify (- 0) into 0
7.132 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
7.132 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
7.132 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
7.132 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
7.132 * [taylor]: Taking taylor expansion of 1/2 in K
7.132 * [backup-simplify]: Simplify 1/2 into 1/2
7.132 * [taylor]: Taking taylor expansion of K in K
7.132 * [backup-simplify]: Simplify 0 into 0
7.132 * [backup-simplify]: Simplify 1 into 1
7.133 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
7.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.133 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
7.133 * [backup-simplify]: Simplify (+ 0) into 0
7.133 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
7.134 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
7.134 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.134 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
7.134 * [backup-simplify]: Simplify (- 0) into 0
7.135 * [backup-simplify]: Simplify (+ 0 0) into 0
7.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
7.135 * [taylor]: Taking taylor expansion of 0 in K
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 0 into 0
7.135 * [backup-simplify]: Simplify 0 into 0
7.136 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.136 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.136 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.137 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.137 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.137 * [backup-simplify]: Simplify (- 0) into 0
7.138 * [backup-simplify]: Simplify (+ 0 0) into 0
7.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.139 * [taylor]: Taking taylor expansion of 0 in K
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify 0 into 0
7.139 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.140 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.140 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.141 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.141 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.141 * [backup-simplify]: Simplify (- 0) into 0
7.142 * [backup-simplify]: Simplify (+ 0 0) into 0
7.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.143 * [taylor]: Taking taylor expansion of 0 in K
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify (* (cos (/ 1/2 (/ 1 K))) (* 1 (/ 1 (/ 1 J)))) into (* (cos (* 1/2 K)) J)
7.143 * [backup-simplify]: Simplify (* (/ 1 (- J)) (cos (/ (/ 1 (- K)) 2))) into (* -1 (/ (cos (/ -1/2 K)) J))
7.143 * [approximate]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in (J K) around 0
7.143 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in K
7.143 * [taylor]: Taking taylor expansion of -1 in K
7.143 * [backup-simplify]: Simplify -1 into -1
7.143 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
7.143 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.143 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.143 * [taylor]: Taking taylor expansion of -1/2 in K
7.143 * [backup-simplify]: Simplify -1/2 into -1/2
7.143 * [taylor]: Taking taylor expansion of K in K
7.143 * [backup-simplify]: Simplify 0 into 0
7.143 * [backup-simplify]: Simplify 1 into 1
7.144 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.144 * [taylor]: Taking taylor expansion of J in K
7.144 * [backup-simplify]: Simplify J into J
7.144 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
7.144 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J
7.144 * [taylor]: Taking taylor expansion of -1 in J
7.144 * [backup-simplify]: Simplify -1 into -1
7.144 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.144 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.144 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.144 * [taylor]: Taking taylor expansion of -1/2 in J
7.144 * [backup-simplify]: Simplify -1/2 into -1/2
7.144 * [taylor]: Taking taylor expansion of K in J
7.144 * [backup-simplify]: Simplify K into K
7.144 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.144 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.144 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.144 * [taylor]: Taking taylor expansion of J in J
7.144 * [backup-simplify]: Simplify 0 into 0
7.144 * [backup-simplify]: Simplify 1 into 1
7.144 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.144 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.144 * [backup-simplify]: Simplify (- 0) into 0
7.144 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.144 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.144 * [taylor]: Taking taylor expansion of (* -1 (/ (cos (/ -1/2 K)) J)) in J
7.144 * [taylor]: Taking taylor expansion of -1 in J
7.144 * [backup-simplify]: Simplify -1 into -1
7.144 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
7.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
7.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
7.145 * [taylor]: Taking taylor expansion of -1/2 in J
7.145 * [backup-simplify]: Simplify -1/2 into -1/2
7.145 * [taylor]: Taking taylor expansion of K in J
7.145 * [backup-simplify]: Simplify K into K
7.145 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
7.145 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.145 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
7.145 * [taylor]: Taking taylor expansion of J in J
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.145 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.145 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
7.145 * [backup-simplify]: Simplify (- 0) into 0
7.145 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
7.145 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
7.145 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
7.145 * [taylor]: Taking taylor expansion of (* -1 (cos (/ -1/2 K))) in K
7.145 * [taylor]: Taking taylor expansion of -1 in K
7.145 * [backup-simplify]: Simplify -1 into -1
7.145 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
7.145 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
7.145 * [taylor]: Taking taylor expansion of -1/2 in K
7.145 * [backup-simplify]: Simplify -1/2 into -1/2
7.145 * [taylor]: Taking taylor expansion of K in K
7.145 * [backup-simplify]: Simplify 0 into 0
7.145 * [backup-simplify]: Simplify 1 into 1
7.146 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
7.146 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
7.146 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
7.146 * [backup-simplify]: Simplify (* -1 (cos (/ -1/2 K))) into (* -1 (cos (/ -1/2 K)))
7.146 * [backup-simplify]: Simplify (+ 0) into 0
7.146 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
7.147 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
7.147 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
7.147 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
7.148 * [backup-simplify]: Simplify (- 0) into 0
7.148 * [backup-simplify]: Simplify (+ 0 0) into 0
7.148 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
7.149 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0
7.149 * [taylor]: Taking taylor expansion of 0 in K
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify 0 into 0
7.149 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (cos (/ -1/2 K)))) into 0
7.149 * [backup-simplify]: Simplify 0 into 0
7.150 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
7.150 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
7.150 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.151 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
7.151 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
7.151 * [backup-simplify]: Simplify (- 0) into 0
7.151 * [backup-simplify]: Simplify (+ 0 0) into 0
7.152 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.153 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.153 * [taylor]: Taking taylor expansion of 0 in K
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 0 into 0
7.153 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
7.154 * [backup-simplify]: Simplify 0 into 0
7.154 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
7.155 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.155 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
7.156 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
7.156 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
7.156 * [backup-simplify]: Simplify (- 0) into 0
7.157 * [backup-simplify]: Simplify (+ 0 0) into 0
7.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.159 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
7.159 * [taylor]: Taking taylor expansion of 0 in K
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify 0 into 0
7.159 * [backup-simplify]: Simplify (* (* -1 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (/ 1 (/ 1 (- J))))) into (* (cos (* 1/2 K)) J)
7.159 * * * [progress]: simplifying candidates
7.159 * * * * [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)))))>
7.159 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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)))))>
7.160 * * * * [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))>
7.160 * * * * [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))>
7.160 * * * * [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))>
7.160 * * * * [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))>
7.160 * * * * [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))>
7.160 * * * * [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)))))))>
7.160 * * * * [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)))))))>
7.160 * * * * [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)))))))>
7.160 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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))))))>
7.161 * * * * [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))))>
7.161 * * * * [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))))))>
7.161 * * * * [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)))))))))))>
7.161 * * * * [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)))))))))>
7.161 * * * * [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)))))))>
7.161 * * * * [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)))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.161 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.162 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.163 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.164 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.165 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.166 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.167 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [progress]: [ 180 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* 1 (cos (/ K 2)))))>
7.168 * * * * [progress]: [ 181 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2)))))>
7.168 * * * * [progress]: [ 182 / 191 ] simplifiying candidate #<alt (λ (J K U) (* (* -2 J) (* (* 1/2 (/ U (* (cos (* 1/2 K)) J))) (cos (/ K 2)))))>
7.168 * * * * [progress]: [ 183 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -1 U))>
7.168 * * * * [progress]: [ 184 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
7.168 * * * * [progress]: [ 185 / 191 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.168 * * * * [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)))))>
7.170 * [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)))))
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  (* (/ (/ (* (* 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))))))
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  (* (/ (/ (* (* 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))))))
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  (* (/ (/ (* (* 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))))))
  (* (/ (* (* (/ 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))))))
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  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (/ (* (* (/ 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))))))
  (* (* (* (/ (/ 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))))))
  (* (* (* (/ (/ 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))))))
  (* (* (* (/ (/ 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))))))
  (* (* (* (/ (/ 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))))))
  (* (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))) (* (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (* (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))) (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))))
  (cbrt (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
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  (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))))))
  (* (/ U 2) (/ U 2))
  (* (* J (cos (/ K 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))))))
  (* (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))))))
  (* (/ (* (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 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))))
  (* (/ (/ (* (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))))
  (* (/ (/ (* (cbrt U) (cbrt U)) 1) J) (/ (/ (* (cbrt U) (cbrt U)) 1) J))
  (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ (cbrt U) 2) (cos (/ K 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))))
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  (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))))
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  (* 1 1)
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  (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (sqrt (/ (/ U 2) (* J (cos (/ K 2))))))
  (* 2 1)
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  (* (/ (/ U 2) (* J (cos (/ K 2)))) (sqrt (/ (/ U 2) (* J (cos (/ K 2))))))
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  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) (sqrt 2)) J))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (* (cbrt U) (cbrt U)) 1) J))
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  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ (sqrt U) (sqrt 2)) J))
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  (* (sqrt (/ (/ U 2) (* J (cos (/ K 2))))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (cbrt (/ U 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
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  (* (/ (/ (cbrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ (cbrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ (sqrt U) (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ (sqrt U) (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ (sqrt U) 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ U (cbrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ U (sqrt 2)) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ U 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ 1 2) (cos (/ K 2))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2)))))
  (* (/ 1 (* 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)))))
  (real->posit16 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))
  (* J (cos (/ K 2)))
  (+ (log J) (log (cos (/ K 2))))
  (log (* J (cos (/ K 2))))
  (exp (* J (cos (/ K 2))))
  (* (* (* J J) J) (* (* (cos (/ K 2)) (cos (/ K 2))) (cos (/ K 2))))
  (* (cbrt (* J (cos (/ K 2)))) (cbrt (* J (cos (/ K 2)))))
  (cbrt (* J (cos (/ K 2))))
  (* (* (* J (cos (/ K 2))) (* J (cos (/ K 2)))) (* J (cos (/ K 2))))
  (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)))
  (* J (cos (/ K 2)))
  (real->posit16 (* J (cos (/ K 2))))
  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)
7.175 * * [simplify]: iteration 1: (327 enodes)
7.305 * * [simplify]: iteration 2: (1014 enodes)
8.129 * * [simplify]: Extracting #0: cost 119 inf + 0
8.131 * * [simplify]: Extracting #1: cost 1075 inf + 4
8.137 * * [simplify]: Extracting #2: cost 1632 inf + 2021
8.150 * * [simplify]: Extracting #3: cost 1471 inf + 23452
8.178 * * [simplify]: Extracting #4: cost 1209 inf + 80045
8.264 * * [simplify]: Extracting #5: cost 576 inf + 279026
8.360 * * [simplify]: Extracting #6: cost 158 inf + 430565
8.484 * * [simplify]: Extracting #7: cost 39 inf + 486894
8.628 * * [simplify]: Extracting #8: cost 0 inf + 507170
8.753 * * [simplify]: Extracting #9: cost 0 inf + 507090
8.946 * [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)))))
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  (* 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)
8.990 * * * [progress]: adding candidates to table
11.547 * * [progress]: iteration 3 / 4
11.547 * * * [progress]: picking best candidate
11.582 * * * * [pick]: Picked  #<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)))))>
11.582 * * * [progress]: localizing error
11.644 * * * [progress]: generating rewritten candidates
11.644 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
11.740 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
12.227 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
12.227 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2)
12.229 * * * [progress]: generating series expansions
12.229 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
12.230 * [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))
12.230 * [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
12.230 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
12.230 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
12.230 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
12.230 * [taylor]: Taking taylor expansion of 1/4 in K
12.230 * [backup-simplify]: Simplify 1/4 into 1/4
12.230 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
12.230 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.230 * [taylor]: Taking taylor expansion of U in K
12.230 * [backup-simplify]: Simplify U into U
12.230 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
12.230 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
12.230 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.230 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.230 * [taylor]: Taking taylor expansion of 1/2 in K
12.230 * [backup-simplify]: Simplify 1/2 into 1/2
12.230 * [taylor]: Taking taylor expansion of K in K
12.230 * [backup-simplify]: Simplify 0 into 0
12.230 * [backup-simplify]: Simplify 1 into 1
12.230 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.231 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.231 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.231 * [taylor]: Taking taylor expansion of J in K
12.231 * [backup-simplify]: Simplify J into J
12.231 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.231 * [backup-simplify]: Simplify (* 1 1) into 1
12.231 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.231 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
12.231 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
12.231 * [taylor]: Taking taylor expansion of 1 in K
12.231 * [backup-simplify]: Simplify 1 into 1
12.232 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
12.232 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
12.232 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
12.232 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.232 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.232 * [backup-simplify]: Simplify (+ 0) into 0
12.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
12.233 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
12.233 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
12.234 * [backup-simplify]: Simplify (+ 0 0) into 0
12.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
12.234 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.234 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.234 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.234 * [taylor]: Taking taylor expansion of 1/4 in J
12.234 * [backup-simplify]: Simplify 1/4 into 1/4
12.234 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.234 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.234 * [taylor]: Taking taylor expansion of U in J
12.234 * [backup-simplify]: Simplify U into U
12.234 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.234 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.234 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.234 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.234 * [taylor]: Taking taylor expansion of 1/2 in J
12.234 * [backup-simplify]: Simplify 1/2 into 1/2
12.234 * [taylor]: Taking taylor expansion of K in J
12.234 * [backup-simplify]: Simplify K into K
12.234 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.234 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.234 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.234 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.234 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.235 * [backup-simplify]: Simplify (- 0) into 0
12.235 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.235 * [taylor]: Taking taylor expansion of (pow J 2) in J
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 (* U U) into (pow U 2)
12.235 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.235 * [backup-simplify]: Simplify (* 1 1) into 1
12.235 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.235 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.235 * [taylor]: Taking taylor expansion of 1 in J
12.235 * [backup-simplify]: Simplify 1 into 1
12.235 * [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)))
12.235 * [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)))
12.236 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.236 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.236 * [backup-simplify]: Simplify (+ 0) into 0
12.237 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.237 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.238 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.238 * [backup-simplify]: Simplify (- 0) into 0
12.238 * [backup-simplify]: Simplify (+ 0 0) into 0
12.238 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.238 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.239 * [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
12.239 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.239 * [backup-simplify]: Simplify (+ 0 0) into 0
12.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.240 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.240 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.240 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.240 * [taylor]: Taking taylor expansion of 1/4 in U
12.240 * [backup-simplify]: Simplify 1/4 into 1/4
12.240 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.240 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.240 * [taylor]: Taking taylor expansion of U in U
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 J 2)) in U
12.240 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.240 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.240 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.240 * [taylor]: Taking taylor expansion of 1/2 in U
12.240 * [backup-simplify]: Simplify 1/2 into 1/2
12.240 * [taylor]: Taking taylor expansion of K in U
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
12.240 * [backup-simplify]: Simplify (- 0) into 0
12.240 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.240 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.240 * [taylor]: Taking taylor expansion of J in U
12.240 * [backup-simplify]: Simplify J into J
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 (* J J) into (pow J 2)
12.241 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.241 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.241 * [taylor]: Taking taylor expansion of 1 in U
12.241 * [backup-simplify]: Simplify 1 into 1
12.241 * [backup-simplify]: Simplify (+ 0 1) into 1
12.241 * [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
12.242 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.242 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.242 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.242 * [taylor]: Taking taylor expansion of 1/4 in U
12.242 * [backup-simplify]: Simplify 1/4 into 1/4
12.242 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.242 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.242 * [taylor]: Taking taylor expansion of U in U
12.242 * [backup-simplify]: Simplify 0 into 0
12.242 * [backup-simplify]: Simplify 1 into 1
12.242 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
12.242 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.242 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.242 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.242 * [taylor]: Taking taylor expansion of 1/2 in U
12.242 * [backup-simplify]: Simplify 1/2 into 1/2
12.242 * [taylor]: Taking taylor expansion of K in U
12.242 * [backup-simplify]: Simplify K into K
12.242 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.242 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.242 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.243 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.243 * [backup-simplify]: Simplify (- 0) into 0
12.243 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.243 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.243 * [taylor]: Taking taylor expansion of J in U
12.243 * [backup-simplify]: Simplify J into J
12.243 * [backup-simplify]: Simplify (* 1 1) into 1
12.243 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.243 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.243 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.243 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.244 * [taylor]: Taking taylor expansion of 1 in U
12.244 * [backup-simplify]: Simplify 1 into 1
12.244 * [backup-simplify]: Simplify (+ 0 1) into 1
12.244 * [backup-simplify]: Simplify (sqrt 1) into 1
12.244 * [backup-simplify]: Simplify (+ 0 0) into 0
12.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.245 * [taylor]: Taking taylor expansion of 1 in J
12.245 * [backup-simplify]: Simplify 1 into 1
12.245 * [taylor]: Taking taylor expansion of 0 in J
12.245 * [backup-simplify]: Simplify 0 into 0
12.245 * [taylor]: Taking taylor expansion of 1 in K
12.245 * [backup-simplify]: Simplify 1 into 1
12.245 * [backup-simplify]: Simplify 1 into 1
12.245 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) into (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.245 * [backup-simplify]: Simplify (+ (/ 1/4 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) 0) into (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))
12.246 * [backup-simplify]: Simplify (/ (- (* 1/4 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) (pow 0 2) (+)) (* 2 1)) into (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.246 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.246 * [taylor]: Taking taylor expansion of 1/8 in J
12.246 * [backup-simplify]: Simplify 1/8 into 1/8
12.246 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.246 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.246 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.246 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.246 * [taylor]: Taking taylor expansion of 1/2 in J
12.246 * [backup-simplify]: Simplify 1/2 into 1/2
12.246 * [taylor]: Taking taylor expansion of K in J
12.246 * [backup-simplify]: Simplify K into K
12.246 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.246 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.246 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.246 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.246 * [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 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.247 * [taylor]: Taking taylor expansion of J in J
12.247 * [backup-simplify]: Simplify 0 into 0
12.247 * [backup-simplify]: Simplify 1 into 1
12.247 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.247 * [backup-simplify]: Simplify (* 1 1) into 1
12.247 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.247 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
12.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.248 * [backup-simplify]: Simplify (+ 0) into 0
12.249 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.249 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.249 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.250 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.250 * [backup-simplify]: Simplify (- 0) into 0
12.250 * [backup-simplify]: Simplify (+ 0 0) into 0
12.250 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.251 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.251 * [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
12.251 * [taylor]: Taking taylor expansion of 0 in K
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [taylor]: Taking taylor expansion of 0 in K
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [taylor]: Taking taylor expansion of 0 in K
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 0 into 0
12.251 * [backup-simplify]: Simplify 0 into 0
12.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.252 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.252 * [backup-simplify]: Simplify (+ 0) into 0
12.252 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.253 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.253 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.254 * [backup-simplify]: Simplify (- 0) into 0
12.254 * [backup-simplify]: Simplify (+ 0 0) into 0
12.254 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.254 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
12.254 * [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
12.255 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
12.255 * [backup-simplify]: Simplify (+ 0 0) into 0
12.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
12.255 * [taylor]: Taking taylor expansion of 0 in J
12.255 * [backup-simplify]: Simplify 0 into 0
12.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.256 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.257 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.259 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.259 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.263 * [backup-simplify]: Simplify (- 0) into 0
12.264 * [backup-simplify]: Simplify (+ 0 0) into 0
12.264 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
12.265 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.265 * [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
12.265 * [taylor]: Taking taylor expansion of 0 in K
12.265 * [backup-simplify]: Simplify 0 into 0
12.265 * [backup-simplify]: Simplify 0 into 0
12.266 * [taylor]: Taking taylor expansion of 0 in K
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 0 into 0
12.266 * [backup-simplify]: Simplify 1 into 1
12.266 * [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))
12.266 * [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
12.266 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
12.266 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
12.266 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
12.266 * [taylor]: Taking taylor expansion of 1/4 in K
12.266 * [backup-simplify]: Simplify 1/4 into 1/4
12.266 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
12.266 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.266 * [taylor]: Taking taylor expansion of J in K
12.266 * [backup-simplify]: Simplify J into J
12.266 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
12.267 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.267 * [taylor]: Taking taylor expansion of U in K
12.267 * [backup-simplify]: Simplify U into U
12.267 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
12.267 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.267 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.267 * [taylor]: Taking taylor expansion of 1/2 in K
12.267 * [backup-simplify]: Simplify 1/2 into 1/2
12.267 * [taylor]: Taking taylor expansion of K in K
12.267 * [backup-simplify]: Simplify 0 into 0
12.267 * [backup-simplify]: Simplify 1 into 1
12.267 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.267 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.268 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.268 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.268 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.268 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.268 * [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)))
12.268 * [taylor]: Taking taylor expansion of 1 in K
12.268 * [backup-simplify]: Simplify 1 into 1
12.269 * [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))))
12.269 * [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)
12.269 * [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))
12.269 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.270 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.270 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.270 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.270 * [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
12.271 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.272 * [backup-simplify]: Simplify (+ 0 0) into 0
12.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
12.272 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.272 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.272 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.272 * [taylor]: Taking taylor expansion of 1/4 in J
12.272 * [backup-simplify]: Simplify 1/4 into 1/4
12.272 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.272 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.272 * [taylor]: Taking taylor expansion of J in J
12.272 * [backup-simplify]: Simplify 0 into 0
12.272 * [backup-simplify]: Simplify 1 into 1
12.272 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.272 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.272 * [taylor]: Taking taylor expansion of U in J
12.272 * [backup-simplify]: Simplify U into U
12.272 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.272 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.272 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.273 * [taylor]: Taking taylor expansion of 1/2 in J
12.273 * [backup-simplify]: Simplify 1/2 into 1/2
12.273 * [taylor]: Taking taylor expansion of K in J
12.273 * [backup-simplify]: Simplify K into K
12.273 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.273 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.273 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.273 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.273 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.273 * [backup-simplify]: Simplify (- 0) into 0
12.273 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.274 * [backup-simplify]: Simplify (* 1 1) into 1
12.274 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.274 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.274 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.274 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.274 * [taylor]: Taking taylor expansion of 1 in J
12.274 * [backup-simplify]: Simplify 1 into 1
12.275 * [backup-simplify]: Simplify (+ 0 1) into 1
12.275 * [backup-simplify]: Simplify (sqrt 1) into 1
12.275 * [backup-simplify]: Simplify (+ 0 0) into 0
12.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.276 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
12.276 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
12.276 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
12.276 * [taylor]: Taking taylor expansion of 1/4 in U
12.276 * [backup-simplify]: Simplify 1/4 into 1/4
12.276 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
12.276 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.276 * [taylor]: Taking taylor expansion of J in U
12.276 * [backup-simplify]: Simplify J into J
12.276 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
12.276 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.276 * [taylor]: Taking taylor expansion of U in U
12.276 * [backup-simplify]: Simplify 0 into 0
12.276 * [backup-simplify]: Simplify 1 into 1
12.276 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
12.277 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.277 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.277 * [taylor]: Taking taylor expansion of 1/2 in U
12.277 * [backup-simplify]: Simplify 1/2 into 1/2
12.277 * [taylor]: Taking taylor expansion of K in U
12.277 * [backup-simplify]: Simplify K into K
12.277 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.277 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.277 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.277 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.277 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.277 * [backup-simplify]: Simplify (- 0) into 0
12.277 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.278 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.278 * [backup-simplify]: Simplify (* 1 1) into 1
12.278 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.278 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
12.278 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
12.278 * [taylor]: Taking taylor expansion of 1 in U
12.278 * [backup-simplify]: Simplify 1 into 1
12.279 * [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)))
12.279 * [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)))
12.279 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
12.279 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.279 * [backup-simplify]: Simplify (+ 0) into 0
12.280 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.280 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.281 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.281 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.282 * [backup-simplify]: Simplify (- 0) into 0
12.282 * [backup-simplify]: Simplify (+ 0 0) into 0
12.282 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.284 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.284 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
12.285 * [backup-simplify]: Simplify (+ 0 0) into 0
12.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.285 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
12.285 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
12.285 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
12.285 * [taylor]: Taking taylor expansion of 1/4 in U
12.285 * [backup-simplify]: Simplify 1/4 into 1/4
12.285 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
12.285 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.285 * [taylor]: Taking taylor expansion of J in U
12.285 * [backup-simplify]: Simplify J into J
12.285 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
12.285 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.285 * [taylor]: Taking taylor expansion of U in U
12.285 * [backup-simplify]: Simplify 0 into 0
12.285 * [backup-simplify]: Simplify 1 into 1
12.285 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
12.285 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.285 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.285 * [taylor]: Taking taylor expansion of 1/2 in U
12.285 * [backup-simplify]: Simplify 1/2 into 1/2
12.285 * [taylor]: Taking taylor expansion of K in U
12.285 * [backup-simplify]: Simplify K into K
12.285 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.285 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.285 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.285 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.285 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.286 * [backup-simplify]: Simplify (- 0) into 0
12.286 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.286 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.286 * [backup-simplify]: Simplify (* 1 1) into 1
12.286 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.286 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
12.286 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
12.286 * [taylor]: Taking taylor expansion of 1 in U
12.286 * [backup-simplify]: Simplify 1 into 1
12.286 * [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)))
12.287 * [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)))
12.287 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
12.287 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.287 * [backup-simplify]: Simplify (+ 0) into 0
12.287 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.287 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.288 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.288 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.288 * [backup-simplify]: Simplify (- 0) into 0
12.289 * [backup-simplify]: Simplify (+ 0 0) into 0
12.289 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.290 * [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
12.290 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
12.290 * [backup-simplify]: Simplify (+ 0 0) into 0
12.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.291 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
12.291 * [taylor]: Taking taylor expansion of 1/2 in J
12.291 * [backup-simplify]: Simplify 1/2 into 1/2
12.291 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
12.291 * [taylor]: Taking taylor expansion of J in J
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [backup-simplify]: Simplify 1 into 1
12.291 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.291 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.291 * [taylor]: Taking taylor expansion of 1/2 in J
12.291 * [backup-simplify]: Simplify 1/2 into 1/2
12.291 * [taylor]: Taking taylor expansion of K in J
12.291 * [backup-simplify]: Simplify K into K
12.291 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.291 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.291 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.291 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.291 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.291 * [backup-simplify]: Simplify (- 0) into 0
12.291 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.291 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
12.291 * [taylor]: Taking taylor expansion of 0 in J
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [taylor]: Taking taylor expansion of 0 in K
12.291 * [backup-simplify]: Simplify 0 into 0
12.291 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
12.292 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
12.292 * [taylor]: Taking taylor expansion of 1/2 in K
12.292 * [backup-simplify]: Simplify 1/2 into 1/2
12.292 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.292 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.292 * [taylor]: Taking taylor expansion of 1/2 in K
12.292 * [backup-simplify]: Simplify 1/2 into 1/2
12.292 * [taylor]: Taking taylor expansion of K in K
12.292 * [backup-simplify]: Simplify 0 into 0
12.292 * [backup-simplify]: Simplify 1 into 1
12.292 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.292 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.292 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
12.292 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
12.292 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
12.293 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.293 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.293 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.294 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.294 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.295 * [backup-simplify]: Simplify (- 0) into 0
12.295 * [backup-simplify]: Simplify (+ 0 0) into 0
12.295 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
12.296 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.297 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.297 * [backup-simplify]: Simplify (+ 0 1) into 1
12.298 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
12.298 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
12.298 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.298 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.298 * [taylor]: Taking taylor expansion of 1/2 in J
12.298 * [backup-simplify]: Simplify 1/2 into 1/2
12.298 * [taylor]: Taking taylor expansion of K in J
12.298 * [backup-simplify]: Simplify K into K
12.298 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.298 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.298 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.298 * [taylor]: Taking taylor expansion of J in J
12.298 * [backup-simplify]: Simplify 0 into 0
12.298 * [backup-simplify]: Simplify 1 into 1
12.298 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.298 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.299 * [backup-simplify]: Simplify (- 0) into 0
12.299 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.299 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.299 * [backup-simplify]: Simplify (+ 0) into 0
12.300 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.300 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.300 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.301 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.301 * [backup-simplify]: Simplify (- 0) into 0
12.301 * [backup-simplify]: Simplify (+ 0 0) into 0
12.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
12.302 * [taylor]: Taking taylor expansion of 0 in K
12.302 * [backup-simplify]: Simplify 0 into 0
12.302 * [backup-simplify]: Simplify 0 into 0
12.302 * [taylor]: Taking taylor expansion of 0 in K
12.302 * [backup-simplify]: Simplify 0 into 0
12.302 * [backup-simplify]: Simplify 0 into 0
12.302 * [backup-simplify]: Simplify (+ 0) into 0
12.302 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.302 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.303 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.303 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.303 * [backup-simplify]: Simplify (- 0) into 0
12.304 * [backup-simplify]: Simplify (+ 0 0) into 0
12.304 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
12.304 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
12.304 * [taylor]: Taking taylor expansion of 0 in K
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify 0 into 0
12.304 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
12.304 * [backup-simplify]: Simplify 0 into 0
12.305 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
12.305 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.306 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.306 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.307 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.307 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.307 * [backup-simplify]: Simplify (- 0) into 0
12.308 * [backup-simplify]: Simplify (+ 0 0) into 0
12.308 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
12.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.310 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))) (* 0 (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
12.311 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.311 * [backup-simplify]: Simplify (+ 0 0) into 0
12.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
12.311 * [taylor]: Taking taylor expansion of 0 in J
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [taylor]: Taking taylor expansion of 0 in K
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [backup-simplify]: Simplify 0 into 0
12.311 * [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)))
12.312 * [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))))))
12.312 * [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
12.312 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
12.312 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
12.312 * [taylor]: Taking taylor expansion of 1 in K
12.312 * [backup-simplify]: Simplify 1 into 1
12.312 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
12.312 * [taylor]: Taking taylor expansion of 1/4 in K
12.312 * [backup-simplify]: Simplify 1/4 into 1/4
12.312 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
12.312 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.312 * [taylor]: Taking taylor expansion of J in K
12.312 * [backup-simplify]: Simplify J into J
12.312 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
12.312 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
12.312 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.312 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.312 * [taylor]: Taking taylor expansion of -1/2 in K
12.312 * [backup-simplify]: Simplify -1/2 into -1/2
12.312 * [taylor]: Taking taylor expansion of K in K
12.312 * [backup-simplify]: Simplify 0 into 0
12.312 * [backup-simplify]: Simplify 1 into 1
12.312 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.312 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.312 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.312 * [taylor]: Taking taylor expansion of U in K
12.312 * [backup-simplify]: Simplify U into U
12.312 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.313 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.313 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.313 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.313 * [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)))
12.313 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
12.313 * [backup-simplify]: Simplify (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))
12.313 * [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))))))
12.313 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.313 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.314 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.314 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
12.314 * [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
12.314 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
12.315 * [backup-simplify]: Simplify (+ 0 0) into 0
12.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
12.315 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
12.315 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
12.315 * [taylor]: Taking taylor expansion of 1 in J
12.315 * [backup-simplify]: Simplify 1 into 1
12.315 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.315 * [taylor]: Taking taylor expansion of 1/4 in J
12.315 * [backup-simplify]: Simplify 1/4 into 1/4
12.315 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.315 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.315 * [taylor]: Taking taylor expansion of J in J
12.315 * [backup-simplify]: Simplify 0 into 0
12.315 * [backup-simplify]: Simplify 1 into 1
12.315 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.315 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.315 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.315 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.315 * [taylor]: Taking taylor expansion of -1/2 in J
12.315 * [backup-simplify]: Simplify -1/2 into -1/2
12.315 * [taylor]: Taking taylor expansion of K in J
12.315 * [backup-simplify]: Simplify K into K
12.315 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.315 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.315 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.315 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.315 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.316 * [backup-simplify]: Simplify (- 0) into 0
12.316 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.316 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.316 * [taylor]: Taking taylor expansion of U in J
12.316 * [backup-simplify]: Simplify U into U
12.316 * [backup-simplify]: Simplify (* 1 1) into 1
12.316 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.316 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.316 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.316 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.317 * [backup-simplify]: Simplify (+ 1 0) into 1
12.317 * [backup-simplify]: Simplify (sqrt 1) into 1
12.317 * [backup-simplify]: Simplify (+ 0 0) into 0
12.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.318 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
12.318 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
12.318 * [taylor]: Taking taylor expansion of 1 in U
12.318 * [backup-simplify]: Simplify 1 into 1
12.318 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.318 * [taylor]: Taking taylor expansion of 1/4 in U
12.318 * [backup-simplify]: Simplify 1/4 into 1/4
12.318 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.319 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.319 * [taylor]: Taking taylor expansion of J in U
12.319 * [backup-simplify]: Simplify J into J
12.319 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.319 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.319 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.319 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.319 * [taylor]: Taking taylor expansion of -1/2 in U
12.319 * [backup-simplify]: Simplify -1/2 into -1/2
12.319 * [taylor]: Taking taylor expansion of K in U
12.319 * [backup-simplify]: Simplify K into K
12.319 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.319 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.319 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.319 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.319 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.320 * [backup-simplify]: Simplify (- 0) into 0
12.320 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.320 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.320 * [taylor]: Taking taylor expansion of U in U
12.320 * [backup-simplify]: Simplify 0 into 0
12.320 * [backup-simplify]: Simplify 1 into 1
12.320 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.320 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.321 * [backup-simplify]: Simplify (* 1 1) into 1
12.321 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.321 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.321 * [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)))
12.322 * [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)))
12.322 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.322 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.323 * [backup-simplify]: Simplify (+ 0) into 0
12.324 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.324 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.325 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.326 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.326 * [backup-simplify]: Simplify (- 0) into 0
12.327 * [backup-simplify]: Simplify (+ 0 0) into 0
12.327 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.327 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.328 * [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
12.328 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.329 * [backup-simplify]: Simplify (+ 0 0) into 0
12.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.329 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
12.329 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
12.329 * [taylor]: Taking taylor expansion of 1 in U
12.329 * [backup-simplify]: Simplify 1 into 1
12.329 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.329 * [taylor]: Taking taylor expansion of 1/4 in U
12.329 * [backup-simplify]: Simplify 1/4 into 1/4
12.329 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.329 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.329 * [taylor]: Taking taylor expansion of J in U
12.329 * [backup-simplify]: Simplify J into J
12.329 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.329 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.330 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.330 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.330 * [taylor]: Taking taylor expansion of -1/2 in U
12.330 * [backup-simplify]: Simplify -1/2 into -1/2
12.330 * [taylor]: Taking taylor expansion of K in U
12.330 * [backup-simplify]: Simplify K into K
12.330 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.330 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.330 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.330 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.330 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.331 * [backup-simplify]: Simplify (- 0) into 0
12.331 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.331 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.331 * [taylor]: Taking taylor expansion of U in U
12.331 * [backup-simplify]: Simplify 0 into 0
12.331 * [backup-simplify]: Simplify 1 into 1
12.331 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.331 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.331 * [backup-simplify]: Simplify (* 1 1) into 1
12.332 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.332 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.332 * [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)))
12.332 * [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)))
12.333 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.333 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.334 * [backup-simplify]: Simplify (+ 0) into 0
12.334 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.334 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.335 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.336 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.336 * [backup-simplify]: Simplify (- 0) into 0
12.336 * [backup-simplify]: Simplify (+ 0 0) into 0
12.336 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.337 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.337 * [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
12.338 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.338 * [backup-simplify]: Simplify (+ 0 0) into 0
12.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.338 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
12.339 * [taylor]: Taking taylor expansion of 1/2 in J
12.339 * [backup-simplify]: Simplify 1/2 into 1/2
12.339 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
12.339 * [taylor]: Taking taylor expansion of J in J
12.339 * [backup-simplify]: Simplify 0 into 0
12.339 * [backup-simplify]: Simplify 1 into 1
12.339 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.339 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.339 * [taylor]: Taking taylor expansion of -1/2 in J
12.339 * [backup-simplify]: Simplify -1/2 into -1/2
12.339 * [taylor]: Taking taylor expansion of K in J
12.339 * [backup-simplify]: Simplify K into K
12.339 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.339 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.339 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.339 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.339 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.340 * [backup-simplify]: Simplify (- 0) into 0
12.340 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.340 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
12.340 * [taylor]: Taking taylor expansion of 0 in J
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [taylor]: Taking taylor expansion of 0 in K
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
12.340 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
12.340 * [taylor]: Taking taylor expansion of 1/2 in K
12.340 * [backup-simplify]: Simplify 1/2 into 1/2
12.340 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.340 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.340 * [taylor]: Taking taylor expansion of -1/2 in K
12.340 * [backup-simplify]: Simplify -1/2 into -1/2
12.340 * [taylor]: Taking taylor expansion of K in K
12.340 * [backup-simplify]: Simplify 0 into 0
12.340 * [backup-simplify]: Simplify 1 into 1
12.341 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.341 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.341 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
12.341 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
12.341 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
12.342 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.343 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.344 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.344 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.345 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.345 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.345 * [backup-simplify]: Simplify (- 0) into 0
12.346 * [backup-simplify]: Simplify (+ 0 0) into 0
12.346 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.347 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.347 * [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
12.348 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
12.349 * [backup-simplify]: Simplify (+ 1 0) into 1
12.350 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
12.350 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
12.350 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.350 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.350 * [taylor]: Taking taylor expansion of -1/2 in J
12.350 * [backup-simplify]: Simplify -1/2 into -1/2
12.350 * [taylor]: Taking taylor expansion of K in J
12.350 * [backup-simplify]: Simplify K into K
12.350 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.350 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.350 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.350 * [taylor]: Taking taylor expansion of J in J
12.350 * [backup-simplify]: Simplify 0 into 0
12.350 * [backup-simplify]: Simplify 1 into 1
12.350 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.350 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.350 * [backup-simplify]: Simplify (- 0) into 0
12.351 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.351 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.351 * [backup-simplify]: Simplify (+ 0) into 0
12.351 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.352 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.352 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.353 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.353 * [backup-simplify]: Simplify (- 0) into 0
12.353 * [backup-simplify]: Simplify (+ 0 0) into 0
12.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
12.354 * [taylor]: Taking taylor expansion of 0 in K
12.354 * [backup-simplify]: Simplify 0 into 0
12.354 * [backup-simplify]: Simplify 0 into 0
12.354 * [taylor]: Taking taylor expansion of 0 in K
12.354 * [backup-simplify]: Simplify 0 into 0
12.354 * [backup-simplify]: Simplify 0 into 0
12.355 * [backup-simplify]: Simplify (+ 0) into 0
12.355 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.355 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.356 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.356 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.357 * [backup-simplify]: Simplify (- 0) into 0
12.357 * [backup-simplify]: Simplify (+ 0 0) into 0
12.357 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
12.358 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
12.358 * [taylor]: Taking taylor expansion of 0 in K
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.358 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
12.358 * [backup-simplify]: Simplify 0 into 0
12.359 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
12.360 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.361 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.362 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.362 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.363 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.364 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.364 * [backup-simplify]: Simplify (- 0) into 0
12.365 * [backup-simplify]: Simplify (+ 0 0) into 0
12.366 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
12.367 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.367 * [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
12.369 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.369 * [backup-simplify]: Simplify (+ 0 0) into 0
12.370 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
12.370 * [taylor]: Taking taylor expansion of 0 in J
12.370 * [backup-simplify]: Simplify 0 into 0
12.370 * [taylor]: Taking taylor expansion of 0 in K
12.370 * [backup-simplify]: Simplify 0 into 0
12.370 * [backup-simplify]: Simplify 0 into 0
12.370 * [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)))
12.370 * * * * [progress]: [ 2 / 4 ] generating series at (2)
12.371 * [backup-simplify]: Simplify (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))
12.371 * [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
12.371 * [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
12.371 * [taylor]: Taking taylor expansion of -2 in U
12.371 * [backup-simplify]: Simplify -2 into -2
12.371 * [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
12.371 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
12.371 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.371 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.371 * [taylor]: Taking taylor expansion of 1/2 in U
12.371 * [backup-simplify]: Simplify 1/2 into 1/2
12.371 * [taylor]: Taking taylor expansion of K in U
12.371 * [backup-simplify]: Simplify K into K
12.371 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.371 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.371 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.371 * [taylor]: Taking taylor expansion of J in U
12.371 * [backup-simplify]: Simplify J into J
12.371 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
12.372 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
12.372 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
12.372 * [taylor]: Taking taylor expansion of 1/4 in U
12.372 * [backup-simplify]: Simplify 1/4 into 1/4
12.372 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
12.372 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.372 * [taylor]: Taking taylor expansion of U in U
12.372 * [backup-simplify]: Simplify 0 into 0
12.372 * [backup-simplify]: Simplify 1 into 1
12.372 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
12.372 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
12.372 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
12.372 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
12.372 * [taylor]: Taking taylor expansion of 1/2 in U
12.372 * [backup-simplify]: Simplify 1/2 into 1/2
12.372 * [taylor]: Taking taylor expansion of K in U
12.372 * [backup-simplify]: Simplify K into K
12.372 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.372 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.372 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.372 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.372 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.373 * [backup-simplify]: Simplify (- 0) into 0
12.373 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.373 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.373 * [taylor]: Taking taylor expansion of J in U
12.373 * [backup-simplify]: Simplify J into J
12.374 * [backup-simplify]: Simplify (* 1 1) into 1
12.374 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.374 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.374 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
12.374 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
12.374 * [taylor]: Taking taylor expansion of 1 in U
12.374 * [backup-simplify]: Simplify 1 into 1
12.375 * [backup-simplify]: Simplify (+ 0 1) into 1
12.375 * [backup-simplify]: Simplify (sqrt 1) into 1
12.376 * [backup-simplify]: Simplify (+ 0 0) into 0
12.376 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.376 * [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
12.376 * [taylor]: Taking taylor expansion of -2 in K
12.376 * [backup-simplify]: Simplify -2 into -2
12.376 * [taylor]: Taking taylor expansion of (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1))) in K
12.376 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
12.377 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.377 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.377 * [taylor]: Taking taylor expansion of 1/2 in K
12.377 * [backup-simplify]: Simplify 1/2 into 1/2
12.377 * [taylor]: Taking taylor expansion of K in K
12.377 * [backup-simplify]: Simplify 0 into 0
12.377 * [backup-simplify]: Simplify 1 into 1
12.377 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.378 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.378 * [taylor]: Taking taylor expansion of J in K
12.378 * [backup-simplify]: Simplify J into J
12.378 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
12.378 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
12.378 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
12.378 * [taylor]: Taking taylor expansion of 1/4 in K
12.378 * [backup-simplify]: Simplify 1/4 into 1/4
12.378 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
12.378 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.378 * [taylor]: Taking taylor expansion of U in K
12.378 * [backup-simplify]: Simplify U into U
12.378 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
12.378 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
12.378 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.378 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.378 * [taylor]: Taking taylor expansion of 1/2 in K
12.378 * [backup-simplify]: Simplify 1/2 into 1/2
12.378 * [taylor]: Taking taylor expansion of K in K
12.378 * [backup-simplify]: Simplify 0 into 0
12.378 * [backup-simplify]: Simplify 1 into 1
12.379 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.380 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.380 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.380 * [taylor]: Taking taylor expansion of J in K
12.380 * [backup-simplify]: Simplify J into J
12.380 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.381 * [backup-simplify]: Simplify (* 1 1) into 1
12.381 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.381 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
12.381 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
12.381 * [taylor]: Taking taylor expansion of 1 in K
12.381 * [backup-simplify]: Simplify 1 into 1
12.381 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
12.381 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
12.382 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
12.382 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.382 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.382 * [backup-simplify]: Simplify (+ 0) into 0
12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
12.383 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
12.384 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
12.384 * [backup-simplify]: Simplify (+ 0 0) into 0
12.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
12.384 * [taylor]: Taking taylor expansion of (* -2 (* (* (cos (* 1/2 K)) J) (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)))) in J
12.384 * [taylor]: Taking taylor expansion of -2 in J
12.384 * [backup-simplify]: Simplify -2 into -2
12.385 * [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
12.385 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
12.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.385 * [taylor]: Taking taylor expansion of 1/2 in J
12.385 * [backup-simplify]: Simplify 1/2 into 1/2
12.385 * [taylor]: Taking taylor expansion of K in J
12.385 * [backup-simplify]: Simplify K into K
12.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.385 * [taylor]: Taking taylor expansion of J in J
12.385 * [backup-simplify]: Simplify 0 into 0
12.385 * [backup-simplify]: Simplify 1 into 1
12.385 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.385 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.385 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.385 * [taylor]: Taking taylor expansion of 1/4 in J
12.385 * [backup-simplify]: Simplify 1/4 into 1/4
12.385 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.385 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.385 * [taylor]: Taking taylor expansion of U in J
12.385 * [backup-simplify]: Simplify U into U
12.385 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.385 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.385 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.385 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.385 * [taylor]: Taking taylor expansion of 1/2 in J
12.385 * [backup-simplify]: Simplify 1/2 into 1/2
12.385 * [taylor]: Taking taylor expansion of K in J
12.385 * [backup-simplify]: Simplify K into K
12.385 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.385 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.385 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.385 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.386 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.386 * [backup-simplify]: Simplify (- 0) into 0
12.386 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.386 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.386 * [taylor]: Taking taylor expansion of J in J
12.386 * [backup-simplify]: Simplify 0 into 0
12.386 * [backup-simplify]: Simplify 1 into 1
12.386 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.386 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.386 * [backup-simplify]: Simplify (* 1 1) into 1
12.387 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.387 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.387 * [taylor]: Taking taylor expansion of 1 in J
12.387 * [backup-simplify]: Simplify 1 into 1
12.387 * [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)))
12.387 * [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)))
12.387 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.387 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.388 * [backup-simplify]: Simplify (+ 0) into 0
12.388 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.389 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.393 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.394 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.394 * [backup-simplify]: Simplify (- 0) into 0
12.395 * [backup-simplify]: Simplify (+ 0 0) into 0
12.395 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.396 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.396 * [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
12.397 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.397 * [backup-simplify]: Simplify (+ 0 0) into 0
12.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.398 * [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
12.398 * [taylor]: Taking taylor expansion of -2 in J
12.398 * [backup-simplify]: Simplify -2 into -2
12.398 * [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
12.398 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
12.398 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.398 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.398 * [taylor]: Taking taylor expansion of 1/2 in J
12.398 * [backup-simplify]: Simplify 1/2 into 1/2
12.398 * [taylor]: Taking taylor expansion of K in J
12.398 * [backup-simplify]: Simplify K into K
12.398 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.398 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.398 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.398 * [taylor]: Taking taylor expansion of J in J
12.398 * [backup-simplify]: Simplify 0 into 0
12.398 * [backup-simplify]: Simplify 1 into 1
12.398 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
12.398 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
12.398 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
12.398 * [taylor]: Taking taylor expansion of 1/4 in J
12.398 * [backup-simplify]: Simplify 1/4 into 1/4
12.398 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
12.398 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.398 * [taylor]: Taking taylor expansion of U in J
12.398 * [backup-simplify]: Simplify U into U
12.399 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
12.399 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
12.399 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
12.399 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
12.399 * [taylor]: Taking taylor expansion of 1/2 in J
12.399 * [backup-simplify]: Simplify 1/2 into 1/2
12.399 * [taylor]: Taking taylor expansion of K in J
12.399 * [backup-simplify]: Simplify K into K
12.399 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
12.399 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
12.399 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
12.399 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.399 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.400 * [backup-simplify]: Simplify (- 0) into 0
12.400 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.400 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.400 * [taylor]: Taking taylor expansion of J in J
12.400 * [backup-simplify]: Simplify 0 into 0
12.400 * [backup-simplify]: Simplify 1 into 1
12.400 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.400 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
12.400 * [backup-simplify]: Simplify (* 1 1) into 1
12.401 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
12.401 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
12.401 * [taylor]: Taking taylor expansion of 1 in J
12.401 * [backup-simplify]: Simplify 1 into 1
12.401 * [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)))
12.401 * [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)))
12.402 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
12.402 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.404 * [backup-simplify]: Simplify (+ 0) into 0
12.404 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.405 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.406 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.406 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.407 * [backup-simplify]: Simplify (- 0) into 0
12.407 * [backup-simplify]: Simplify (+ 0 0) into 0
12.407 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
12.408 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
12.408 * [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
12.409 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
12.409 * [backup-simplify]: Simplify (+ 0 0) into 0
12.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
12.410 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
12.410 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
12.411 * [backup-simplify]: Simplify (- 0) into 0
12.411 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
12.411 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
12.411 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
12.412 * [backup-simplify]: Simplify (* -2 0) into 0
12.412 * [taylor]: Taking taylor expansion of 0 in K
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [taylor]: Taking taylor expansion of 0 in U
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [backup-simplify]: Simplify 0 into 0
12.412 * [backup-simplify]: Simplify (+ 0) into 0
12.413 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
12.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
12.414 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.414 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
12.415 * [backup-simplify]: Simplify (- 0) into 0
12.415 * [backup-simplify]: Simplify (+ 0 0) into 0
12.416 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
12.416 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
12.417 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
12.417 * [taylor]: Taking taylor expansion of (- U) in K
12.417 * [taylor]: Taking taylor expansion of U in K
12.417 * [backup-simplify]: Simplify U into U
12.417 * [backup-simplify]: Simplify (- U) into (- U)
12.417 * [taylor]: Taking taylor expansion of (- U) in U
12.417 * [taylor]: Taking taylor expansion of U in U
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 1 into 1
12.417 * [backup-simplify]: Simplify (- 0) into 0
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [taylor]: Taking taylor expansion of 0 in U
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 0 into 0
12.417 * [backup-simplify]: Simplify 0 into 0
12.418 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
12.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.420 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.421 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.423 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.423 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.424 * [backup-simplify]: Simplify (- 0) into 0
12.424 * [backup-simplify]: Simplify (+ 0 0) into 0
12.425 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
12.425 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
12.426 * [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
12.427 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
12.427 * [backup-simplify]: Simplify (+ 0 1) into 1
12.428 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
12.429 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.430 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.431 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
12.431 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.432 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.432 * [backup-simplify]: Simplify (- 0) into 0
12.433 * [backup-simplify]: Simplify (+ 0 0) into 0
12.433 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
12.434 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
12.435 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
12.435 * [taylor]: Taking taylor expansion of 0 in K
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [taylor]: Taking taylor expansion of 0 in U
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify (- 0) into 0
12.435 * [taylor]: Taking taylor expansion of 0 in U
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify 0 into 0
12.435 * [backup-simplify]: Simplify 0 into 0
12.436 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (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)))
12.436 * [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
12.436 * [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
12.436 * [taylor]: Taking taylor expansion of -2 in U
12.437 * [backup-simplify]: Simplify -2 into -2
12.437 * [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
12.437 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
12.437 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
12.437 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
12.437 * [taylor]: Taking taylor expansion of 1/4 in U
12.437 * [backup-simplify]: Simplify 1/4 into 1/4
12.437 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
12.437 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.437 * [taylor]: Taking taylor expansion of J in U
12.437 * [backup-simplify]: Simplify J into J
12.437 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
12.437 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.437 * [taylor]: Taking taylor expansion of U in U
12.437 * [backup-simplify]: Simplify 0 into 0
12.437 * [backup-simplify]: Simplify 1 into 1
12.437 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
12.437 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.437 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.437 * [taylor]: Taking taylor expansion of 1/2 in U
12.437 * [backup-simplify]: Simplify 1/2 into 1/2
12.437 * [taylor]: Taking taylor expansion of K in U
12.437 * [backup-simplify]: Simplify K into K
12.437 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.437 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.437 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.437 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.438 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.438 * [backup-simplify]: Simplify (- 0) into 0
12.438 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.438 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.439 * [backup-simplify]: Simplify (* 1 1) into 1
12.439 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.439 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
12.439 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
12.439 * [taylor]: Taking taylor expansion of 1 in U
12.439 * [backup-simplify]: Simplify 1 into 1
12.439 * [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)))
12.440 * [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)))
12.440 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
12.440 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.440 * [backup-simplify]: Simplify (+ 0) into 0
12.441 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.441 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.442 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.442 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.443 * [backup-simplify]: Simplify (- 0) into 0
12.443 * [backup-simplify]: Simplify (+ 0 0) into 0
12.443 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.445 * [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
12.445 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
12.446 * [backup-simplify]: Simplify (+ 0 0) into 0
12.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
12.446 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
12.446 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.446 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.446 * [taylor]: Taking taylor expansion of 1/2 in U
12.446 * [backup-simplify]: Simplify 1/2 into 1/2
12.446 * [taylor]: Taking taylor expansion of K in U
12.446 * [backup-simplify]: Simplify K into K
12.446 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.446 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.446 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.446 * [taylor]: Taking taylor expansion of J in U
12.446 * [backup-simplify]: Simplify J into J
12.446 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.446 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.447 * [backup-simplify]: Simplify (- 0) into 0
12.447 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.447 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
12.447 * [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
12.447 * [taylor]: Taking taylor expansion of -2 in K
12.447 * [backup-simplify]: Simplify -2 into -2
12.447 * [taylor]: Taking taylor expansion of (* (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) (/ (cos (/ 1/2 K)) J)) in K
12.447 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
12.447 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
12.447 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
12.447 * [taylor]: Taking taylor expansion of 1/4 in K
12.447 * [backup-simplify]: Simplify 1/4 into 1/4
12.447 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
12.447 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.447 * [taylor]: Taking taylor expansion of J in K
12.447 * [backup-simplify]: Simplify J into J
12.447 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
12.447 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.447 * [taylor]: Taking taylor expansion of U in K
12.447 * [backup-simplify]: Simplify U into U
12.448 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
12.448 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.448 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.448 * [taylor]: Taking taylor expansion of 1/2 in K
12.448 * [backup-simplify]: Simplify 1/2 into 1/2
12.448 * [taylor]: Taking taylor expansion of K in K
12.448 * [backup-simplify]: Simplify 0 into 0
12.448 * [backup-simplify]: Simplify 1 into 1
12.448 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.448 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.448 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.448 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.448 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.449 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.449 * [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)))
12.449 * [taylor]: Taking taylor expansion of 1 in K
12.449 * [backup-simplify]: Simplify 1 into 1
12.449 * [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))))
12.450 * [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)
12.450 * [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))
12.450 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.450 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.450 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.450 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.451 * [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
12.452 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.452 * [backup-simplify]: Simplify (+ 0 0) into 0
12.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
12.453 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
12.453 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.453 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.453 * [taylor]: Taking taylor expansion of 1/2 in K
12.453 * [backup-simplify]: Simplify 1/2 into 1/2
12.453 * [taylor]: Taking taylor expansion of K in K
12.453 * [backup-simplify]: Simplify 0 into 0
12.453 * [backup-simplify]: Simplify 1 into 1
12.453 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.453 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.453 * [taylor]: Taking taylor expansion of J in K
12.453 * [backup-simplify]: Simplify J into J
12.453 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
12.453 * [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
12.453 * [taylor]: Taking taylor expansion of -2 in J
12.454 * [backup-simplify]: Simplify -2 into -2
12.454 * [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
12.454 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.454 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.454 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.454 * [taylor]: Taking taylor expansion of 1/4 in J
12.454 * [backup-simplify]: Simplify 1/4 into 1/4
12.454 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.454 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.454 * [taylor]: Taking taylor expansion of J in J
12.454 * [backup-simplify]: Simplify 0 into 0
12.454 * [backup-simplify]: Simplify 1 into 1
12.454 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.454 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.454 * [taylor]: Taking taylor expansion of U in J
12.454 * [backup-simplify]: Simplify U into U
12.454 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.454 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.454 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.454 * [taylor]: Taking taylor expansion of 1/2 in J
12.454 * [backup-simplify]: Simplify 1/2 into 1/2
12.454 * [taylor]: Taking taylor expansion of K in J
12.454 * [backup-simplify]: Simplify K into K
12.454 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.454 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.454 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.454 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.454 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.455 * [backup-simplify]: Simplify (- 0) into 0
12.455 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.455 * [backup-simplify]: Simplify (* 1 1) into 1
12.455 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.456 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.456 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.456 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.456 * [taylor]: Taking taylor expansion of 1 in J
12.456 * [backup-simplify]: Simplify 1 into 1
12.456 * [backup-simplify]: Simplify (+ 0 1) into 1
12.457 * [backup-simplify]: Simplify (sqrt 1) into 1
12.457 * [backup-simplify]: Simplify (+ 0 0) into 0
12.458 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.458 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
12.458 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.458 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.458 * [taylor]: Taking taylor expansion of 1/2 in J
12.458 * [backup-simplify]: Simplify 1/2 into 1/2
12.458 * [taylor]: Taking taylor expansion of K in J
12.458 * [backup-simplify]: Simplify K into K
12.458 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.458 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.458 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.458 * [taylor]: Taking taylor expansion of J in J
12.458 * [backup-simplify]: Simplify 0 into 0
12.458 * [backup-simplify]: Simplify 1 into 1
12.458 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.458 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.459 * [backup-simplify]: Simplify (- 0) into 0
12.459 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.459 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.459 * [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
12.459 * [taylor]: Taking taylor expansion of -2 in J
12.459 * [backup-simplify]: Simplify -2 into -2
12.459 * [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
12.459 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
12.459 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
12.459 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
12.459 * [taylor]: Taking taylor expansion of 1/4 in J
12.459 * [backup-simplify]: Simplify 1/4 into 1/4
12.459 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
12.459 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.459 * [taylor]: Taking taylor expansion of J in J
12.459 * [backup-simplify]: Simplify 0 into 0
12.459 * [backup-simplify]: Simplify 1 into 1
12.459 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
12.459 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.459 * [taylor]: Taking taylor expansion of U in J
12.459 * [backup-simplify]: Simplify U into U
12.459 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
12.459 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.459 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.460 * [taylor]: Taking taylor expansion of 1/2 in J
12.460 * [backup-simplify]: Simplify 1/2 into 1/2
12.460 * [taylor]: Taking taylor expansion of K in J
12.460 * [backup-simplify]: Simplify K into K
12.460 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.460 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.460 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.460 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.460 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.460 * [backup-simplify]: Simplify (- 0) into 0
12.460 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.461 * [backup-simplify]: Simplify (* 1 1) into 1
12.461 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.461 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
12.461 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
12.461 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
12.461 * [taylor]: Taking taylor expansion of 1 in J
12.461 * [backup-simplify]: Simplify 1 into 1
12.462 * [backup-simplify]: Simplify (+ 0 1) into 1
12.462 * [backup-simplify]: Simplify (sqrt 1) into 1
12.462 * [backup-simplify]: Simplify (+ 0 0) into 0
12.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.463 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
12.463 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
12.463 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
12.463 * [taylor]: Taking taylor expansion of 1/2 in J
12.463 * [backup-simplify]: Simplify 1/2 into 1/2
12.463 * [taylor]: Taking taylor expansion of K in J
12.463 * [backup-simplify]: Simplify K into K
12.463 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.463 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.464 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.464 * [taylor]: Taking taylor expansion of J in J
12.464 * [backup-simplify]: Simplify 0 into 0
12.464 * [backup-simplify]: Simplify 1 into 1
12.464 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.464 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.464 * [backup-simplify]: Simplify (- 0) into 0
12.464 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.464 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.465 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
12.465 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.465 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
12.465 * [taylor]: Taking taylor expansion of -2 in K
12.465 * [backup-simplify]: Simplify -2 into -2
12.465 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.465 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.465 * [taylor]: Taking taylor expansion of 1/2 in K
12.465 * [backup-simplify]: Simplify 1/2 into 1/2
12.465 * [taylor]: Taking taylor expansion of K in K
12.465 * [backup-simplify]: Simplify 0 into 0
12.465 * [backup-simplify]: Simplify 1 into 1
12.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.465 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.465 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.465 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
12.465 * [taylor]: Taking taylor expansion of -2 in U
12.466 * [backup-simplify]: Simplify -2 into -2
12.466 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.466 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.466 * [taylor]: Taking taylor expansion of 1/2 in U
12.466 * [backup-simplify]: Simplify 1/2 into 1/2
12.466 * [taylor]: Taking taylor expansion of K in U
12.466 * [backup-simplify]: Simplify K into K
12.466 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.466 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.466 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.466 * [backup-simplify]: Simplify (+ 0) into 0
12.467 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.467 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.468 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.468 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.468 * [backup-simplify]: Simplify (- 0) into 0
12.469 * [backup-simplify]: Simplify (+ 0 0) into 0
12.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
12.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
12.471 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.471 * [taylor]: Taking taylor expansion of 0 in K
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [taylor]: Taking taylor expansion of 0 in U
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.471 * [taylor]: Taking taylor expansion of 0 in U
12.471 * [backup-simplify]: Simplify 0 into 0
12.471 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.471 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.472 * [backup-simplify]: Simplify (- 0) into 0
12.472 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.472 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.472 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
12.473 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.474 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.474 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.475 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.475 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.475 * [backup-simplify]: Simplify (- 0) into 0
12.476 * [backup-simplify]: Simplify (+ 0 0) into 0
12.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.477 * [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)))
12.478 * [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))))
12.479 * [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)))
12.480 * [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)))))
12.481 * [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))))))
12.481 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
12.481 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
12.481 * [taylor]: Taking taylor expansion of 1/4 in K
12.481 * [backup-simplify]: Simplify 1/4 into 1/4
12.481 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
12.481 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
12.481 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.481 * [taylor]: Taking taylor expansion of U in K
12.481 * [backup-simplify]: Simplify U into U
12.481 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.481 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.481 * [taylor]: Taking taylor expansion of 1/2 in K
12.481 * [backup-simplify]: Simplify 1/2 into 1/2
12.481 * [taylor]: Taking taylor expansion of K in K
12.482 * [backup-simplify]: Simplify 0 into 0
12.482 * [backup-simplify]: Simplify 1 into 1
12.482 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.482 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.482 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.482 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
12.482 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
12.483 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
12.483 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
12.483 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
12.483 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
12.483 * [taylor]: Taking taylor expansion of 1/4 in U
12.483 * [backup-simplify]: Simplify 1/4 into 1/4
12.483 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
12.483 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
12.483 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.483 * [taylor]: Taking taylor expansion of U in U
12.483 * [backup-simplify]: Simplify 0 into 0
12.483 * [backup-simplify]: Simplify 1 into 1
12.483 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
12.483 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
12.483 * [taylor]: Taking taylor expansion of 1/2 in U
12.483 * [backup-simplify]: Simplify 1/2 into 1/2
12.483 * [taylor]: Taking taylor expansion of K in U
12.483 * [backup-simplify]: Simplify K into K
12.483 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
12.483 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.483 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
12.484 * [backup-simplify]: Simplify (* 1 1) into 1
12.484 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
12.484 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
12.484 * [backup-simplify]: Simplify (- 0) into 0
12.484 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
12.484 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
12.484 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
12.485 * [backup-simplify]: Simplify (+ 0) into 0
12.485 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.486 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.486 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.487 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.487 * [backup-simplify]: Simplify (- 0) into 0
12.487 * [backup-simplify]: Simplify (+ 0 0) into 0
12.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
12.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
12.489 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
12.490 * [backup-simplify]: Simplify (- 0) into 0
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [taylor]: Taking taylor expansion of 0 in U
12.490 * [backup-simplify]: Simplify 0 into 0
12.490 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.490 * [taylor]: Taking taylor expansion of 0 in U
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify 0 into 0
12.491 * [backup-simplify]: Simplify (+ 0) into 0
12.491 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.492 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.492 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.493 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.493 * [backup-simplify]: Simplify (- 0) into 0
12.494 * [backup-simplify]: Simplify (+ 0 0) into 0
12.494 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
12.494 * [backup-simplify]: Simplify 0 into 0
12.495 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.496 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.496 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.497 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.498 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.499 * [backup-simplify]: Simplify (- 0) into 0
12.499 * [backup-simplify]: Simplify (+ 0 0) into 0
12.501 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.502 * [backup-simplify]: Simplify (+ 0) into 0
12.503 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
12.503 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
12.503 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.504 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
12.504 * [backup-simplify]: Simplify (- 0) into 0
12.505 * [backup-simplify]: Simplify (+ 0 0) into 0
12.505 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.505 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.505 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
12.506 * [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
12.506 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
12.507 * [backup-simplify]: Simplify (+ 0 0) into 0
12.507 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
12.509 * [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
12.510 * [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
12.510 * [taylor]: Taking taylor expansion of 0 in K
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [taylor]: Taking taylor expansion of 0 in U
12.510 * [backup-simplify]: Simplify 0 into 0
12.510 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.510 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
12.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
12.511 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
12.511 * [backup-simplify]: Simplify (- 0) into 0
12.511 * [taylor]: Taking taylor expansion of 0 in U
12.511 * [backup-simplify]: Simplify 0 into 0
12.511 * [taylor]: Taking taylor expansion of 0 in U
12.511 * [backup-simplify]: Simplify 0 into 0
12.513 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
12.513 * [taylor]: Taking taylor expansion of 0 in U
12.513 * [backup-simplify]: Simplify 0 into 0
12.514 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.514 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.515 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.515 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.516 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.516 * [backup-simplify]: Simplify (- 0) into 0
12.517 * [backup-simplify]: Simplify (+ 0 0) into 0
12.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.518 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
12.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
12.520 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
12.520 * [backup-simplify]: Simplify (- 0) into 0
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify 0 into 0
12.520 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
12.521 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (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))))))))
12.521 * [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
12.521 * [taylor]: Taking taylor expansion of (* 2 (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) in U
12.521 * [taylor]: Taking taylor expansion of 2 in U
12.521 * [backup-simplify]: Simplify 2 into 2
12.521 * [taylor]: Taking taylor expansion of (* (/ (cos (/ -1/2 K)) J) (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) in U
12.521 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
12.521 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.521 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.521 * [taylor]: Taking taylor expansion of -1/2 in U
12.521 * [backup-simplify]: Simplify -1/2 into -1/2
12.521 * [taylor]: Taking taylor expansion of K in U
12.521 * [backup-simplify]: Simplify K into K
12.522 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.522 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.522 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.522 * [taylor]: Taking taylor expansion of J in U
12.522 * [backup-simplify]: Simplify J into J
12.522 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.522 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.522 * [backup-simplify]: Simplify (- 0) into 0
12.522 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.523 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
12.523 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
12.523 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
12.523 * [taylor]: Taking taylor expansion of 1 in U
12.523 * [backup-simplify]: Simplify 1 into 1
12.523 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
12.523 * [taylor]: Taking taylor expansion of 1/4 in U
12.523 * [backup-simplify]: Simplify 1/4 into 1/4
12.523 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
12.523 * [taylor]: Taking taylor expansion of (pow J 2) in U
12.523 * [taylor]: Taking taylor expansion of J in U
12.523 * [backup-simplify]: Simplify J into J
12.523 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
12.523 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
12.523 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.523 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.523 * [taylor]: Taking taylor expansion of -1/2 in U
12.523 * [backup-simplify]: Simplify -1/2 into -1/2
12.523 * [taylor]: Taking taylor expansion of K in U
12.523 * [backup-simplify]: Simplify K into K
12.523 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.523 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.523 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.523 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.523 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.524 * [backup-simplify]: Simplify (- 0) into 0
12.524 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.524 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.524 * [taylor]: Taking taylor expansion of U in U
12.524 * [backup-simplify]: Simplify 0 into 0
12.524 * [backup-simplify]: Simplify 1 into 1
12.524 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.524 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.525 * [backup-simplify]: Simplify (* 1 1) into 1
12.525 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
12.525 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
12.525 * [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)))
12.525 * [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)))
12.525 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
12.525 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.526 * [backup-simplify]: Simplify (+ 0) into 0
12.526 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.526 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.527 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.527 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.527 * [backup-simplify]: Simplify (- 0) into 0
12.527 * [backup-simplify]: Simplify (+ 0 0) into 0
12.528 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.528 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
12.528 * [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
12.529 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
12.529 * [backup-simplify]: Simplify (+ 0 0) into 0
12.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
12.529 * [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
12.529 * [taylor]: Taking taylor expansion of 2 in K
12.529 * [backup-simplify]: Simplify 2 into 2
12.529 * [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
12.529 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
12.529 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.529 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.529 * [taylor]: Taking taylor expansion of -1/2 in K
12.529 * [backup-simplify]: Simplify -1/2 into -1/2
12.529 * [taylor]: Taking taylor expansion of K in K
12.529 * [backup-simplify]: Simplify 0 into 0
12.529 * [backup-simplify]: Simplify 1 into 1
12.529 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.529 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.529 * [taylor]: Taking taylor expansion of J in K
12.529 * [backup-simplify]: Simplify J into J
12.530 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
12.530 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
12.530 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
12.530 * [taylor]: Taking taylor expansion of 1 in K
12.530 * [backup-simplify]: Simplify 1 into 1
12.530 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
12.530 * [taylor]: Taking taylor expansion of 1/4 in K
12.530 * [backup-simplify]: Simplify 1/4 into 1/4
12.530 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
12.530 * [taylor]: Taking taylor expansion of (pow J 2) in K
12.530 * [taylor]: Taking taylor expansion of J in K
12.530 * [backup-simplify]: Simplify J into J
12.530 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
12.530 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
12.530 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.530 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.530 * [taylor]: Taking taylor expansion of -1/2 in K
12.530 * [backup-simplify]: Simplify -1/2 into -1/2
12.530 * [taylor]: Taking taylor expansion of K in K
12.530 * [backup-simplify]: Simplify 0 into 0
12.530 * [backup-simplify]: Simplify 1 into 1
12.530 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.530 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.530 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.530 * [taylor]: Taking taylor expansion of U in K
12.530 * [backup-simplify]: Simplify U into U
12.530 * [backup-simplify]: Simplify (* J J) into (pow J 2)
12.530 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.530 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.530 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.531 * [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)))
12.531 * [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))))
12.531 * [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)))))
12.531 * [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))))))
12.531 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
12.531 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.531 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.531 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
12.532 * [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
12.532 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
12.532 * [backup-simplify]: Simplify (+ 0 0) into 0
12.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
12.533 * [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
12.533 * [taylor]: Taking taylor expansion of 2 in J
12.533 * [backup-simplify]: Simplify 2 into 2
12.533 * [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
12.533 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
12.533 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.533 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.533 * [taylor]: Taking taylor expansion of -1/2 in J
12.533 * [backup-simplify]: Simplify -1/2 into -1/2
12.533 * [taylor]: Taking taylor expansion of K in J
12.533 * [backup-simplify]: Simplify K into K
12.533 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.533 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.533 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.533 * [taylor]: Taking taylor expansion of J in J
12.533 * [backup-simplify]: Simplify 0 into 0
12.533 * [backup-simplify]: Simplify 1 into 1
12.533 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.533 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.533 * [backup-simplify]: Simplify (- 0) into 0
12.533 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.533 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.533 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
12.533 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
12.534 * [taylor]: Taking taylor expansion of 1 in J
12.534 * [backup-simplify]: Simplify 1 into 1
12.534 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.534 * [taylor]: Taking taylor expansion of 1/4 in J
12.534 * [backup-simplify]: Simplify 1/4 into 1/4
12.534 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.534 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.534 * [taylor]: Taking taylor expansion of J in J
12.534 * [backup-simplify]: Simplify 0 into 0
12.534 * [backup-simplify]: Simplify 1 into 1
12.534 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.534 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.534 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.534 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.534 * [taylor]: Taking taylor expansion of -1/2 in J
12.534 * [backup-simplify]: Simplify -1/2 into -1/2
12.534 * [taylor]: Taking taylor expansion of K in J
12.534 * [backup-simplify]: Simplify K into K
12.534 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.534 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.534 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.534 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.534 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.534 * [backup-simplify]: Simplify (- 0) into 0
12.534 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.534 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.534 * [taylor]: Taking taylor expansion of U in J
12.534 * [backup-simplify]: Simplify U into U
12.535 * [backup-simplify]: Simplify (* 1 1) into 1
12.535 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.535 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.535 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.535 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.535 * [backup-simplify]: Simplify (+ 1 0) into 1
12.535 * [backup-simplify]: Simplify (sqrt 1) into 1
12.539 * [backup-simplify]: Simplify (+ 0 0) into 0
12.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.539 * [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
12.539 * [taylor]: Taking taylor expansion of 2 in J
12.539 * [backup-simplify]: Simplify 2 into 2
12.539 * [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
12.539 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
12.539 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.539 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.539 * [taylor]: Taking taylor expansion of -1/2 in J
12.539 * [backup-simplify]: Simplify -1/2 into -1/2
12.540 * [taylor]: Taking taylor expansion of K in J
12.540 * [backup-simplify]: Simplify K into K
12.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.540 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.540 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.540 * [taylor]: Taking taylor expansion of J in J
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 1 into 1
12.540 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.540 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.540 * [backup-simplify]: Simplify (- 0) into 0
12.540 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.540 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.540 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
12.540 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
12.540 * [taylor]: Taking taylor expansion of 1 in J
12.540 * [backup-simplify]: Simplify 1 into 1
12.540 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
12.540 * [taylor]: Taking taylor expansion of 1/4 in J
12.540 * [backup-simplify]: Simplify 1/4 into 1/4
12.540 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
12.540 * [taylor]: Taking taylor expansion of (pow J 2) in J
12.540 * [taylor]: Taking taylor expansion of J in J
12.540 * [backup-simplify]: Simplify 0 into 0
12.540 * [backup-simplify]: Simplify 1 into 1
12.540 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
12.540 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
12.540 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
12.540 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
12.540 * [taylor]: Taking taylor expansion of -1/2 in J
12.540 * [backup-simplify]: Simplify -1/2 into -1/2
12.540 * [taylor]: Taking taylor expansion of K in J
12.540 * [backup-simplify]: Simplify K into K
12.540 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.541 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.541 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.541 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.541 * [backup-simplify]: Simplify (- 0) into 0
12.541 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.541 * [taylor]: Taking taylor expansion of (pow U 2) in J
12.541 * [taylor]: Taking taylor expansion of U in J
12.541 * [backup-simplify]: Simplify U into U
12.541 * [backup-simplify]: Simplify (* 1 1) into 1
12.541 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
12.541 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.541 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
12.542 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
12.542 * [backup-simplify]: Simplify (+ 1 0) into 1
12.542 * [backup-simplify]: Simplify (sqrt 1) into 1
12.542 * [backup-simplify]: Simplify (+ 0 0) into 0
12.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.543 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.543 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.543 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
12.543 * [taylor]: Taking taylor expansion of 2 in K
12.543 * [backup-simplify]: Simplify 2 into 2
12.543 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.543 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.543 * [taylor]: Taking taylor expansion of -1/2 in K
12.543 * [backup-simplify]: Simplify -1/2 into -1/2
12.543 * [taylor]: Taking taylor expansion of K in K
12.543 * [backup-simplify]: Simplify 0 into 0
12.543 * [backup-simplify]: Simplify 1 into 1
12.543 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.543 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.543 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.543 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
12.543 * [taylor]: Taking taylor expansion of 2 in U
12.544 * [backup-simplify]: Simplify 2 into 2
12.544 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.544 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.544 * [taylor]: Taking taylor expansion of -1/2 in U
12.544 * [backup-simplify]: Simplify -1/2 into -1/2
12.544 * [taylor]: Taking taylor expansion of K in U
12.544 * [backup-simplify]: Simplify K into K
12.544 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.544 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.544 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.544 * [backup-simplify]: Simplify (+ 0) into 0
12.544 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.544 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.545 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.545 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.545 * [backup-simplify]: Simplify (- 0) into 0
12.546 * [backup-simplify]: Simplify (+ 0 0) into 0
12.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
12.546 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.547 * [taylor]: Taking taylor expansion of 0 in K
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [taylor]: Taking taylor expansion of 0 in U
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.547 * [taylor]: Taking taylor expansion of 0 in U
12.547 * [backup-simplify]: Simplify 0 into 0
12.547 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.547 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.548 * [backup-simplify]: Simplify (- 0) into 0
12.548 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.548 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.548 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
12.548 * [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)))
12.548 * [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))))
12.549 * [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)))
12.549 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.550 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.550 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.550 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.551 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.551 * [backup-simplify]: Simplify (- 0) into 0
12.551 * [backup-simplify]: Simplify (+ 0 0) into 0
12.552 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.553 * [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))))
12.553 * [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))))
12.553 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
12.553 * [taylor]: Taking taylor expansion of 1/4 in K
12.553 * [backup-simplify]: Simplify 1/4 into 1/4
12.553 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
12.553 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
12.553 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.553 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.553 * [taylor]: Taking taylor expansion of -1/2 in K
12.553 * [backup-simplify]: Simplify -1/2 into -1/2
12.553 * [taylor]: Taking taylor expansion of K in K
12.553 * [backup-simplify]: Simplify 0 into 0
12.553 * [backup-simplify]: Simplify 1 into 1
12.554 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.554 * [taylor]: Taking taylor expansion of (pow U 2) in K
12.554 * [taylor]: Taking taylor expansion of U in K
12.554 * [backup-simplify]: Simplify U into U
12.554 * [backup-simplify]: Simplify (* U U) into (pow U 2)
12.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
12.554 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
12.554 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
12.554 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
12.554 * [taylor]: Taking taylor expansion of 1/4 in U
12.554 * [backup-simplify]: Simplify 1/4 into 1/4
12.554 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
12.554 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
12.554 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
12.554 * [taylor]: Taking taylor expansion of -1/2 in U
12.554 * [backup-simplify]: Simplify -1/2 into -1/2
12.554 * [taylor]: Taking taylor expansion of K in U
12.554 * [backup-simplify]: Simplify K into K
12.554 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
12.554 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.554 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
12.554 * [taylor]: Taking taylor expansion of (pow U 2) in U
12.554 * [taylor]: Taking taylor expansion of U in U
12.554 * [backup-simplify]: Simplify 0 into 0
12.554 * [backup-simplify]: Simplify 1 into 1
12.554 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.555 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
12.555 * [backup-simplify]: Simplify (- 0) into 0
12.555 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
12.555 * [backup-simplify]: Simplify (* 1 1) into 1
12.555 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
12.555 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
12.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.556 * [backup-simplify]: Simplify (+ 0) into 0
12.556 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.556 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.557 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.557 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.557 * [backup-simplify]: Simplify (- 0) into 0
12.557 * [backup-simplify]: Simplify (+ 0 0) into 0
12.558 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.558 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
12.558 * [backup-simplify]: Simplify 0 into 0
12.558 * [taylor]: Taking taylor expansion of 0 in U
12.558 * [backup-simplify]: Simplify 0 into 0
12.559 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
12.559 * [taylor]: Taking taylor expansion of 0 in U
12.559 * [backup-simplify]: Simplify 0 into 0
12.559 * [backup-simplify]: Simplify 0 into 0
12.559 * [backup-simplify]: Simplify 0 into 0
12.559 * [backup-simplify]: Simplify (+ 0) into 0
12.559 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.559 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.560 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.560 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.560 * [backup-simplify]: Simplify (- 0) into 0
12.561 * [backup-simplify]: Simplify (+ 0 0) into 0
12.561 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
12.561 * [backup-simplify]: Simplify 0 into 0
12.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.561 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.562 * [backup-simplify]: Simplify (+ 0) into 0
12.562 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
12.562 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
12.562 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
12.563 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
12.563 * [backup-simplify]: Simplify (- 0) into 0
12.563 * [backup-simplify]: Simplify (+ 0 0) into 0
12.563 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
12.563 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
12.564 * [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
12.564 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
12.564 * [backup-simplify]: Simplify (+ 0 0) into 0
12.565 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
12.565 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.566 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.566 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.567 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
12.567 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
12.567 * [backup-simplify]: Simplify (- 0) into 0
12.568 * [backup-simplify]: Simplify (+ 0 0) into 0
12.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.569 * [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
12.570 * [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
12.570 * [taylor]: Taking taylor expansion of 0 in K
12.570 * [backup-simplify]: Simplify 0 into 0
12.570 * [taylor]: Taking taylor expansion of 0 in U
12.570 * [backup-simplify]: Simplify 0 into 0
12.570 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
12.570 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
12.570 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
12.571 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
12.571 * [taylor]: Taking taylor expansion of 0 in U
12.571 * [backup-simplify]: Simplify 0 into 0
12.571 * [taylor]: Taking taylor expansion of 0 in U
12.571 * [backup-simplify]: Simplify 0 into 0
12.572 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
12.572 * [taylor]: Taking taylor expansion of 0 in U
12.572 * [backup-simplify]: Simplify 0 into 0
12.572 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.573 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
12.573 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.574 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
12.575 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
12.575 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
12.575 * [backup-simplify]: Simplify (- 0) into 0
12.576 * [backup-simplify]: Simplify (+ 0 0) into 0
12.578 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
12.578 * [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
12.578 * [backup-simplify]: Simplify 0 into 0
12.578 * [backup-simplify]: Simplify 0 into 0
12.578 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
12.579 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
12.579 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3)
12.579 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0
12.579 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K
12.579 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K
12.579 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K
12.579 * [taylor]: Taking taylor expansion of 1/3 in K
12.579 * [backup-simplify]: Simplify 1/3 into 1/3
12.579 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
12.579 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.579 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.579 * [taylor]: Taking taylor expansion of 1/2 in K
12.579 * [backup-simplify]: Simplify 1/2 into 1/2
12.579 * [taylor]: Taking taylor expansion of K in K
12.579 * [backup-simplify]: Simplify 0 into 0
12.579 * [backup-simplify]: Simplify 1 into 1
12.580 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.580 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.581 * [backup-simplify]: Simplify (log 1) into 0
12.581 * [backup-simplify]: Simplify (* 1/3 0) into 0
12.582 * [backup-simplify]: Simplify (+ 0) into 0
12.584 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.584 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
12.586 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
12.590 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
12.591 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
12.592 * [backup-simplify]: Simplify (exp 0) into 1
12.592 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K
12.592 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K
12.592 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K
12.592 * [taylor]: Taking taylor expansion of 1/3 in K
12.592 * [backup-simplify]: Simplify 1/3 into 1/3
12.592 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
12.592 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.592 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.592 * [taylor]: Taking taylor expansion of 1/2 in K
12.592 * [backup-simplify]: Simplify 1/2 into 1/2
12.592 * [taylor]: Taking taylor expansion of K in K
12.592 * [backup-simplify]: Simplify 0 into 0
12.592 * [backup-simplify]: Simplify 1 into 1
12.593 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.593 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.594 * [backup-simplify]: Simplify (log 1) into 0
12.594 * [backup-simplify]: Simplify (* 1/3 0) into 0
12.595 * [backup-simplify]: Simplify (+ 0) into 0
12.596 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.597 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
12.598 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
12.601 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
12.602 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
12.602 * [backup-simplify]: Simplify (exp 0) into 1
12.603 * [backup-simplify]: Simplify 1 into 1
12.604 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
12.604 * [backup-simplify]: Simplify 0 into 0
12.606 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
12.607 * [backup-simplify]: Simplify -1/24 into -1/24
12.608 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.609 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.614 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.616 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
12.618 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.618 * [backup-simplify]: Simplify 0 into 0
12.620 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.622 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
12.634 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
12.635 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
12.640 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
12.640 * [backup-simplify]: Simplify -1/1152 into -1/1152
12.641 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
12.641 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3)
12.641 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0
12.641 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K
12.641 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K
12.641 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K
12.641 * [taylor]: Taking taylor expansion of 1/3 in K
12.641 * [backup-simplify]: Simplify 1/3 into 1/3
12.641 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
12.641 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.641 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.641 * [taylor]: Taking taylor expansion of 1/2 in K
12.641 * [backup-simplify]: Simplify 1/2 into 1/2
12.641 * [taylor]: Taking taylor expansion of K in K
12.641 * [backup-simplify]: Simplify 0 into 0
12.641 * [backup-simplify]: Simplify 1 into 1
12.642 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.642 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.642 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
12.642 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
12.642 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
12.642 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K
12.642 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K
12.642 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K
12.642 * [taylor]: Taking taylor expansion of 1/3 in K
12.643 * [backup-simplify]: Simplify 1/3 into 1/3
12.643 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
12.643 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.643 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.643 * [taylor]: Taking taylor expansion of 1/2 in K
12.643 * [backup-simplify]: Simplify 1/2 into 1/2
12.643 * [taylor]: Taking taylor expansion of K in K
12.643 * [backup-simplify]: Simplify 0 into 0
12.643 * [backup-simplify]: Simplify 1 into 1
12.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.643 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.643 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
12.643 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
12.644 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
12.644 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3)
12.645 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
12.645 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
12.646 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.646 * [backup-simplify]: Simplify 0 into 0
12.648 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
12.649 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
12.650 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.650 * [backup-simplify]: Simplify 0 into 0
12.653 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
12.655 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
12.656 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.656 * [backup-simplify]: Simplify 0 into 0
12.661 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
12.662 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
12.664 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.664 * [backup-simplify]: Simplify 0 into 0
12.673 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
12.674 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
12.676 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.676 * [backup-simplify]: Simplify 0 into 0
12.685 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
12.686 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
12.689 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.689 * [backup-simplify]: Simplify 0 into 0
12.689 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
12.690 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3)
12.690 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0
12.690 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K
12.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K
12.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K
12.690 * [taylor]: Taking taylor expansion of 1/3 in K
12.690 * [backup-simplify]: Simplify 1/3 into 1/3
12.690 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
12.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.690 * [taylor]: Taking taylor expansion of -1/2 in K
12.690 * [backup-simplify]: Simplify -1/2 into -1/2
12.690 * [taylor]: Taking taylor expansion of K in K
12.690 * [backup-simplify]: Simplify 0 into 0
12.690 * [backup-simplify]: Simplify 1 into 1
12.690 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.690 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.690 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
12.690 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
12.690 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
12.690 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K
12.690 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K
12.690 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K
12.690 * [taylor]: Taking taylor expansion of 1/3 in K
12.690 * [backup-simplify]: Simplify 1/3 into 1/3
12.690 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
12.690 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.690 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.691 * [taylor]: Taking taylor expansion of -1/2 in K
12.691 * [backup-simplify]: Simplify -1/2 into -1/2
12.691 * [taylor]: Taking taylor expansion of K in K
12.691 * [backup-simplify]: Simplify 0 into 0
12.691 * [backup-simplify]: Simplify 1 into 1
12.691 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.691 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.691 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
12.691 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
12.691 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
12.691 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3)
12.692 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
12.692 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
12.693 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.693 * [backup-simplify]: Simplify 0 into 0
12.694 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
12.694 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
12.695 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.695 * [backup-simplify]: Simplify 0 into 0
12.697 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
12.698 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
12.699 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.699 * [backup-simplify]: Simplify 0 into 0
12.702 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
12.703 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
12.704 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.704 * [backup-simplify]: Simplify 0 into 0
12.709 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
12.710 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
12.712 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.712 * [backup-simplify]: Simplify 0 into 0
12.719 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
12.721 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
12.724 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.724 * [backup-simplify]: Simplify 0 into 0
12.724 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
12.724 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2)
12.724 * [backup-simplify]: Simplify (cbrt (cos (/ K 2))) into (pow (cos (* 1/2 K)) 1/3)
12.724 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in (K) around 0
12.724 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K
12.724 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K
12.724 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K
12.724 * [taylor]: Taking taylor expansion of 1/3 in K
12.725 * [backup-simplify]: Simplify 1/3 into 1/3
12.725 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
12.725 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.725 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.725 * [taylor]: Taking taylor expansion of 1/2 in K
12.725 * [backup-simplify]: Simplify 1/2 into 1/2
12.725 * [taylor]: Taking taylor expansion of K in K
12.725 * [backup-simplify]: Simplify 0 into 0
12.725 * [backup-simplify]: Simplify 1 into 1
12.725 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.725 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.726 * [backup-simplify]: Simplify (log 1) into 0
12.726 * [backup-simplify]: Simplify (* 1/3 0) into 0
12.726 * [backup-simplify]: Simplify (+ 0) into 0
12.727 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.728 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
12.728 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
12.730 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
12.731 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
12.731 * [backup-simplify]: Simplify (exp 0) into 1
12.731 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/3) in K
12.731 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (* 1/2 K))))) in K
12.731 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (* 1/2 K)))) in K
12.731 * [taylor]: Taking taylor expansion of 1/3 in K
12.731 * [backup-simplify]: Simplify 1/3 into 1/3
12.731 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
12.731 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
12.731 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
12.731 * [taylor]: Taking taylor expansion of 1/2 in K
12.731 * [backup-simplify]: Simplify 1/2 into 1/2
12.731 * [taylor]: Taking taylor expansion of K in K
12.731 * [backup-simplify]: Simplify 0 into 0
12.731 * [backup-simplify]: Simplify 1 into 1
12.731 * [backup-simplify]: Simplify (* 1/2 0) into 0
12.732 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
12.732 * [backup-simplify]: Simplify (log 1) into 0
12.732 * [backup-simplify]: Simplify (* 1/3 0) into 0
12.733 * [backup-simplify]: Simplify (+ 0) into 0
12.733 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
12.734 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 0)) into 0
12.734 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
12.736 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
12.737 * [backup-simplify]: Simplify (+ (* 1/3 -1/8) (+ (* 0 0) (* 0 0))) into -1/24
12.737 * [backup-simplify]: Simplify (exp 0) into 1
12.737 * [backup-simplify]: Simplify 1 into 1
12.737 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
12.737 * [backup-simplify]: Simplify 0 into 0
12.738 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/24 1) 1)))) into -1/24
12.738 * [backup-simplify]: Simplify -1/24 into -1/24
12.739 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
12.740 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
12.743 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
12.744 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
12.745 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.745 * [backup-simplify]: Simplify 0 into 0
12.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
12.748 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
12.757 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
12.759 * [backup-simplify]: Simplify (+ (* 1/3 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/576
12.770 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/24 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/24 2) 2)) (* (/ (pow -1/576 1) 1)))) into -1/1152
12.770 * [backup-simplify]: Simplify -1/1152 into -1/1152
12.770 * [backup-simplify]: Simplify (+ (* -1/1152 (pow K 4)) (+ (* -1/24 (pow K 2)) 1)) into (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
12.770 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 K) 2))) into (pow (cos (/ 1/2 K)) 1/3)
12.771 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in (K) around 0
12.771 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K
12.771 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K
12.771 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K
12.771 * [taylor]: Taking taylor expansion of 1/3 in K
12.771 * [backup-simplify]: Simplify 1/3 into 1/3
12.771 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
12.771 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.771 * [taylor]: Taking taylor expansion of 1/2 in K
12.771 * [backup-simplify]: Simplify 1/2 into 1/2
12.771 * [taylor]: Taking taylor expansion of K in K
12.771 * [backup-simplify]: Simplify 0 into 0
12.771 * [backup-simplify]: Simplify 1 into 1
12.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.772 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.772 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
12.772 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
12.772 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
12.772 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/3) in K
12.772 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ 1/2 K))))) in K
12.772 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ 1/2 K)))) in K
12.772 * [taylor]: Taking taylor expansion of 1/3 in K
12.772 * [backup-simplify]: Simplify 1/3 into 1/3
12.772 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
12.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
12.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
12.772 * [taylor]: Taking taylor expansion of 1/2 in K
12.772 * [backup-simplify]: Simplify 1/2 into 1/2
12.772 * [taylor]: Taking taylor expansion of K in K
12.772 * [backup-simplify]: Simplify 0 into 0
12.772 * [backup-simplify]: Simplify 1 into 1
12.773 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
12.774 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
12.774 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
12.774 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ 1/2 K)))) into (* 1/3 (log (cos (/ 1/2 K))))
12.774 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/3)
12.774 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/3) into (pow (cos (/ 1/2 K)) 1/3)
12.775 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
12.776 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ 1/2 K))))) into 0
12.777 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.777 * [backup-simplify]: Simplify 0 into 0
12.779 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
12.780 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
12.782 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.782 * [backup-simplify]: Simplify 0 into 0
12.785 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
12.786 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
12.788 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.789 * [backup-simplify]: Simplify 0 into 0
12.794 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
12.796 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
12.798 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.798 * [backup-simplify]: Simplify 0 into 0
12.807 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
12.809 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
12.813 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.813 * [backup-simplify]: Simplify 0 into 0
12.826 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
12.828 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
12.834 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.834 * [backup-simplify]: Simplify 0 into 0
12.834 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
12.835 * [backup-simplify]: Simplify (cbrt (cos (/ (/ 1 (- K)) 2))) into (pow (cos (/ -1/2 K)) 1/3)
12.835 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in (K) around 0
12.835 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K
12.835 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K
12.835 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K
12.835 * [taylor]: Taking taylor expansion of 1/3 in K
12.835 * [backup-simplify]: Simplify 1/3 into 1/3
12.835 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
12.835 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.835 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.835 * [taylor]: Taking taylor expansion of -1/2 in K
12.835 * [backup-simplify]: Simplify -1/2 into -1/2
12.835 * [taylor]: Taking taylor expansion of K in K
12.835 * [backup-simplify]: Simplify 0 into 0
12.835 * [backup-simplify]: Simplify 1 into 1
12.836 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.836 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.836 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
12.836 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
12.836 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
12.836 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/3) in K
12.836 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (cos (/ -1/2 K))))) in K
12.836 * [taylor]: Taking taylor expansion of (* 1/3 (log (cos (/ -1/2 K)))) in K
12.836 * [taylor]: Taking taylor expansion of 1/3 in K
12.836 * [backup-simplify]: Simplify 1/3 into 1/3
12.836 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
12.836 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
12.836 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
12.836 * [taylor]: Taking taylor expansion of -1/2 in K
12.836 * [backup-simplify]: Simplify -1/2 into -1/2
12.836 * [taylor]: Taking taylor expansion of K in K
12.836 * [backup-simplify]: Simplify 0 into 0
12.836 * [backup-simplify]: Simplify 1 into 1
12.837 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
12.837 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
12.837 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
12.837 * [backup-simplify]: Simplify (* 1/3 (log (cos (/ -1/2 K)))) into (* 1/3 (log (cos (/ -1/2 K))))
12.837 * [backup-simplify]: Simplify (exp (* 1/3 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/3)
12.837 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/3) into (pow (cos (/ -1/2 K)) 1/3)
12.838 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
12.839 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (cos (/ -1/2 K))))) into 0
12.840 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
12.840 * [backup-simplify]: Simplify 0 into 0
12.842 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
12.843 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
12.844 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.844 * [backup-simplify]: Simplify 0 into 0
12.847 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
12.849 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
12.850 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.850 * [backup-simplify]: Simplify 0 into 0
12.855 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
12.857 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
12.859 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.860 * [backup-simplify]: Simplify 0 into 0
12.867 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
12.870 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
12.874 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
12.874 * [backup-simplify]: Simplify 0 into 0
12.886 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
12.888 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
12.894 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
12.894 * [backup-simplify]: Simplify 0 into 0
12.894 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/3) into (pow (cos (* 1/2 K)) 1/3)
12.894 * * * [progress]: simplifying candidates
12.894 * * * * [progress]: [ 1 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
12.894 * * * * [progress]: [ 2 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
12.894 * * * * [progress]: [ 3 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.894 * * * * [progress]: [ 4 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.894 * * * * [progress]: [ 5 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.894 * * * * [progress]: [ 6 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.894 * * * * [progress]: [ 7 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.894 * * * * [progress]: [ 8 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.895 * * * * [progress]: [ 9 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
12.895 * * * * [progress]: [ 10 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
12.895 * * * * [progress]: [ 11 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))))>
12.895 * * * * [progress]: [ 12 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))>
12.895 * * * * [progress]: [ 13 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/ 1 2))))>
12.895 * * * * [progress]: [ 14 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.895 * * * * [progress]: [ 15 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
12.895 * * * * [progress]: [ 16 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
12.895 * * * * [progress]: [ 17 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (posit16->real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 18 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 19 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 20 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 21 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 22 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 23 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 24 / 90 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -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))>
12.895 * * * * [progress]: [ 25 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 26 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 27 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 28 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 29 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.895 * * * * [progress]: [ 30 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 31 / 90 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 32 / 90 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 33 / 90 ] 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)))))))>
12.896 * * * * [progress]: [ 34 / 90 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (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)))))))>
12.896 * * * * [progress]: [ 35 / 90 ] 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)))))))>
12.896 * * * * [progress]: [ 36 / 90 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (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)))))))>
12.896 * * * * [progress]: [ 37 / 90 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (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)))))))>
12.896 * * * * [progress]: [ 38 / 90 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.896 * * * * [progress]: [ 39 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 40 / 90 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 41 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.896 * * * * [progress]: [ 42 / 90 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
12.896 * * * * [progress]: [ 43 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))>
12.896 * * * * [progress]: [ 44 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))>
12.896 * * * * [progress]: [ 45 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))>
12.896 * * * * [progress]: [ 46 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.896 * * * * [progress]: [ 47 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.896 * * * * [progress]: [ 48 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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))))))>
12.896 * * * * [progress]: [ 49 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.896 * * * * [progress]: [ 50 / 90 ] 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))))))>
12.896 * * * * [progress]: [ 51 / 90 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))))>
12.896 * * * * [progress]: [ 52 / 90 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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)))))>
12.897 * * * * [progress]: [ 53 / 90 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
12.897 * * * * [progress]: [ 54 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))))>
12.897 * * * * [progress]: [ 55 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (/ K 2)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 56 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cbrt (cos (/ K 2))) 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 57 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (exp (log (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 58 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (log (exp (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 59 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 60 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 61 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt 1) (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 62 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 63 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 64 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 65 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* 1 (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 66 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (posit16->real (real->posit16 (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 67 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (/ K 2)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 68 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cbrt (cos (/ K 2))) 1))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 69 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (exp (log (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 70 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (log (exp (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 71 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 72 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 73 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt 1) (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 74 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.897 * * * * [progress]: [ 75 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 76 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (sqrt (cbrt (cos (/ K 2)))) (sqrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 77 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* 1 (cbrt (cos (/ K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 78 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (posit16->real (real->posit16 (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 79 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1))>
12.898 * * * * [progress]: [ 80 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
12.898 * * * * [progress]: [ 81 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
12.898 * * * * [progress]: [ 82 / 90 ] simplifiying candidate #<alt (λ (J K U) 0)>
12.898 * * * * [progress]: [ 83 / 90 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
12.898 * * * * [progress]: [ 84 / 90 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
12.898 * * * * [progress]: [ 85 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 86 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 87 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/3)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 88 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2)))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 89 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.898 * * * * [progress]: [ 90 / 90 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (pow (cos (* 1/2 K)) 1/3))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
12.899 * [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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (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) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
  (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt 1))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) 1)
  (* (cbrt (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (log (cbrt (cos (/ K 2))))
  (exp (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt 1)
  (cbrt (cos (/ K 2)))
  (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (real->posit16 (cbrt (cos (/ K 2))))
  (log (cbrt (cos (/ K 2))))
  (exp (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt 1)
  (cbrt (cos (/ K 2)))
  (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (real->posit16 (cbrt (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 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
  (pow (cos (* 1/2 K)) 1/3)
  (pow (cos (* 1/2 K)) 1/3)
  (- 1 (+ (* 1/1152 (pow K 4)) (* 1/24 (pow K 2))))
  (pow (cos (* 1/2 K)) 1/3)
  (pow (cos (* 1/2 K)) 1/3)
12.901 * * [simplify]: iteration 1: (147 enodes)
12.947 * * [simplify]: iteration 2: (375 enodes)
13.116 * * [simplify]: iteration 3: (1463 enodes)
16.127 * * [simplify]: Extracting #0: cost 46 inf + 0
16.128 * * [simplify]: Extracting #1: cost 540 inf + 3
16.134 * * [simplify]: Extracting #2: cost 1723 inf + 321
16.142 * * [simplify]: Extracting #3: cost 2009 inf + 3589
16.154 * * [simplify]: Extracting #4: cost 1841 inf + 42976
16.212 * * [simplify]: Extracting #5: cost 1220 inf + 236104
16.317 * * [simplify]: Extracting #6: cost 721 inf + 428539
16.537 * * [simplify]: Extracting #7: cost 320 inf + 648108
16.888 * * [simplify]: Extracting #8: cost 17 inf + 826715
17.175 * * [simplify]: Extracting #9: cost 0 inf + 836314
17.484 * [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))))
  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)))) (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 -2))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (exp (* (* (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)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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)))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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)))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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)))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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)))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -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)))) (* (* (* (cos (/ K 2)) (* J -2)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))) (+ 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)))) (cos (/ K 2))) (* J -2))) (cbrt (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2))))
  (cbrt (* (* (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)) (* (cos (/ K 2)) (* J -2))) (* (cos (/ K 2)) (* J -2)))) (+ 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)))) (cos (/ K 2))) (* J -2)))
  (sqrt (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (* (* (cos (/ K 2)) (* J -2)) (* (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)))))))
  (* (fabs (cbrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (* J -2) (cos (/ K 2))))
  (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) (* J -2)))
  (* (cos (/ K 2)) (* J -2))
  (* (cos (/ K 2)) (* J -2))
  (* (sqrt (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J))))) (* (cos (/ K 2)) (* J -2)))
  (* (cos (/ K 2)) (* J -2))
  (* (cbrt (cos (/ K 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) (/ (/ 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))))) (* (* J -2) (cos (/ K 2))))
  (real->posit16 (* (* (sqrt (+ 1 (* (/ (/ U (* 2 (cos (/ K 2)))) J) (/ (/ U (* 2 (cos (/ K 2)))) J)))) (cos (/ K 2))) (* J -2)))
  (log (cbrt (cos (/ K 2))))
  (exp (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  1
  (cbrt (cos (/ K 2)))
  (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cos (/ K 2))
  (sqrt (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (real->posit16 (cbrt (cos (/ K 2))))
  (log (cbrt (cos (/ K 2))))
  (exp (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  (cbrt (sqrt (cos (/ K 2))))
  1
  (cbrt (cos (/ K 2)))
  (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (cos (/ K 2))))
  (cos (/ K 2))
  (sqrt (cbrt (cos (/ K 2))))
  (sqrt (cbrt (cos (/ K 2))))
  (real->posit16 (cbrt (cos (/ K 2))))
  1
  (/ (/ (* 1/2 U) J) (cos (* K 1/2)))
  (/ (/ (* 1/2 U) J) (cos (* K 1/2)))
  0
  (* J (* (cos (* K 1/2)) -2))
  (* J (* (cos (* K 1/2)) -2))
  (- 1 (* (* K K) (+ 1/24 (* (* K K) 1/1152))))
  (cbrt (cos (* K 1/2)))
  (cbrt (cos (* K 1/2)))
  (- 1 (* (* K K) (+ 1/24 (* (* K K) 1/1152))))
  (cbrt (cos (* K 1/2)))
  (cbrt (cos (* K 1/2)))
17.496 * * * [progress]: adding candidates to table
18.824 * * [progress]: iteration 4 / 4
18.824 * * * [progress]: picking best candidate
18.881 * * * * [pick]: Picked  #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
18.881 * * * [progress]: localizing error
18.949 * * * [progress]: generating rewritten candidates
18.949 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
19.031 * * * * [progress]: [ 2 / 4 ] rewriting at (2)
19.718 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 2)
19.719 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 1 2)
19.723 * * * [progress]: generating series expansions
19.723 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
19.723 * [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))
19.723 * [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
19.723 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
19.723 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
19.723 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
19.723 * [taylor]: Taking taylor expansion of 1/4 in K
19.723 * [backup-simplify]: Simplify 1/4 into 1/4
19.723 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
19.723 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.723 * [taylor]: Taking taylor expansion of U in K
19.723 * [backup-simplify]: Simplify U into U
19.723 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
19.723 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
19.723 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
19.723 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
19.723 * [taylor]: Taking taylor expansion of 1/2 in K
19.723 * [backup-simplify]: Simplify 1/2 into 1/2
19.723 * [taylor]: Taking taylor expansion of K in K
19.723 * [backup-simplify]: Simplify 0 into 0
19.723 * [backup-simplify]: Simplify 1 into 1
19.724 * [backup-simplify]: Simplify (* 1/2 0) into 0
19.724 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
19.725 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.725 * [taylor]: Taking taylor expansion of J in K
19.725 * [backup-simplify]: Simplify J into J
19.725 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.725 * [backup-simplify]: Simplify (* 1 1) into 1
19.725 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.725 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
19.725 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
19.725 * [taylor]: Taking taylor expansion of 1 in K
19.725 * [backup-simplify]: Simplify 1 into 1
19.725 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
19.725 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
19.725 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
19.725 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.726 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.726 * [backup-simplify]: Simplify (+ 0) into 0
19.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.727 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
19.727 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
19.727 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
19.727 * [backup-simplify]: Simplify (+ 0 0) into 0
19.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
19.728 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
19.728 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
19.728 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
19.728 * [taylor]: Taking taylor expansion of 1/4 in J
19.728 * [backup-simplify]: Simplify 1/4 into 1/4
19.728 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
19.728 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.728 * [taylor]: Taking taylor expansion of U in J
19.728 * [backup-simplify]: Simplify U into U
19.728 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
19.728 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
19.728 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.728 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.728 * [taylor]: Taking taylor expansion of 1/2 in J
19.728 * [backup-simplify]: Simplify 1/2 into 1/2
19.728 * [taylor]: Taking taylor expansion of K in J
19.728 * [backup-simplify]: Simplify K into K
19.728 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.728 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.728 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.728 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.728 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.728 * [backup-simplify]: Simplify (- 0) into 0
19.728 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.728 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.728 * [taylor]: Taking taylor expansion of J in J
19.728 * [backup-simplify]: Simplify 0 into 0
19.728 * [backup-simplify]: Simplify 1 into 1
19.728 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.729 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.729 * [backup-simplify]: Simplify (* 1 1) into 1
19.729 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
19.729 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
19.729 * [taylor]: Taking taylor expansion of 1 in J
19.729 * [backup-simplify]: Simplify 1 into 1
19.729 * [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)))
19.729 * [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)))
19.729 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
19.729 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.730 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.730 * [backup-simplify]: Simplify (+ 0) into 0
19.730 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.731 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.732 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.732 * [backup-simplify]: Simplify (- 0) into 0
19.732 * [backup-simplify]: Simplify (+ 0 0) into 0
19.732 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
19.732 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
19.733 * [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
19.733 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
19.733 * [backup-simplify]: Simplify (+ 0 0) into 0
19.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
19.733 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
19.733 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
19.733 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
19.734 * [taylor]: Taking taylor expansion of 1/4 in U
19.734 * [backup-simplify]: Simplify 1/4 into 1/4
19.734 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
19.734 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.734 * [taylor]: Taking taylor expansion of U in U
19.734 * [backup-simplify]: Simplify 0 into 0
19.734 * [backup-simplify]: Simplify 1 into 1
19.734 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
19.734 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
19.734 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
19.734 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
19.734 * [taylor]: Taking taylor expansion of 1/2 in U
19.734 * [backup-simplify]: Simplify 1/2 into 1/2
19.734 * [taylor]: Taking taylor expansion of K in U
19.734 * [backup-simplify]: Simplify K into K
19.734 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.734 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.734 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.734 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.734 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.734 * [backup-simplify]: Simplify (- 0) into 0
19.734 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.734 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.734 * [taylor]: Taking taylor expansion of J in U
19.734 * [backup-simplify]: Simplify J into J
19.735 * [backup-simplify]: Simplify (* 1 1) into 1
19.735 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.735 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.735 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
19.735 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
19.735 * [taylor]: Taking taylor expansion of 1 in U
19.735 * [backup-simplify]: Simplify 1 into 1
19.735 * [backup-simplify]: Simplify (+ 0 1) into 1
19.735 * [backup-simplify]: Simplify (sqrt 1) into 1
19.736 * [backup-simplify]: Simplify (+ 0 0) into 0
19.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.736 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
19.736 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
19.736 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
19.736 * [taylor]: Taking taylor expansion of 1/4 in U
19.736 * [backup-simplify]: Simplify 1/4 into 1/4
19.736 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
19.736 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.736 * [taylor]: Taking taylor expansion of U in U
19.736 * [backup-simplify]: Simplify 0 into 0
19.736 * [backup-simplify]: Simplify 1 into 1
19.736 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
19.736 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
19.736 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
19.736 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
19.736 * [taylor]: Taking taylor expansion of 1/2 in U
19.736 * [backup-simplify]: Simplify 1/2 into 1/2
19.736 * [taylor]: Taking taylor expansion of K in U
19.736 * [backup-simplify]: Simplify K into K
19.736 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.736 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.736 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.736 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.737 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.737 * [backup-simplify]: Simplify (- 0) into 0
19.737 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.737 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.737 * [taylor]: Taking taylor expansion of J in U
19.737 * [backup-simplify]: Simplify J into J
19.737 * [backup-simplify]: Simplify (* 1 1) into 1
19.737 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.737 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.737 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
19.737 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
19.738 * [taylor]: Taking taylor expansion of 1 in U
19.738 * [backup-simplify]: Simplify 1 into 1
19.738 * [backup-simplify]: Simplify (+ 0 1) into 1
19.738 * [backup-simplify]: Simplify (sqrt 1) into 1
19.738 * [backup-simplify]: Simplify (+ 0 0) into 0
19.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.739 * [taylor]: Taking taylor expansion of 1 in J
19.739 * [backup-simplify]: Simplify 1 into 1
19.739 * [taylor]: Taking taylor expansion of 0 in J
19.739 * [backup-simplify]: Simplify 0 into 0
19.739 * [taylor]: Taking taylor expansion of 1 in K
19.739 * [backup-simplify]: Simplify 1 into 1
19.739 * [backup-simplify]: Simplify 1 into 1
19.739 * [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)))
19.739 * [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))))
19.740 * [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)))
19.740 * [taylor]: Taking taylor expansion of (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
19.740 * [taylor]: Taking taylor expansion of 1/8 in J
19.740 * [backup-simplify]: Simplify 1/8 into 1/8
19.740 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
19.740 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
19.740 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.740 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.740 * [taylor]: Taking taylor expansion of 1/2 in J
19.740 * [backup-simplify]: Simplify 1/2 into 1/2
19.740 * [taylor]: Taking taylor expansion of K in J
19.740 * [backup-simplify]: Simplify K into K
19.740 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.740 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.740 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.740 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.740 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.741 * [backup-simplify]: Simplify (- 0) into 0
19.741 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.741 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.741 * [taylor]: Taking taylor expansion of J in J
19.741 * [backup-simplify]: Simplify 0 into 0
19.741 * [backup-simplify]: Simplify 1 into 1
19.741 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.741 * [backup-simplify]: Simplify (* 1 1) into 1
19.741 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
19.741 * [backup-simplify]: Simplify (/ 1/8 (pow (cos (* 1/2 K)) 2)) into (/ 1/8 (pow (cos (* 1/2 K)) 2))
19.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.742 * [backup-simplify]: Simplify (+ 0) into 0
19.742 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.743 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.743 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.743 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.744 * [backup-simplify]: Simplify (- 0) into 0
19.744 * [backup-simplify]: Simplify (+ 0 0) into 0
19.744 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
19.744 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
19.744 * [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
19.744 * [taylor]: Taking taylor expansion of 0 in K
19.744 * [backup-simplify]: Simplify 0 into 0
19.744 * [backup-simplify]: Simplify 0 into 0
19.744 * [taylor]: Taking taylor expansion of 0 in K
19.744 * [backup-simplify]: Simplify 0 into 0
19.745 * [backup-simplify]: Simplify 0 into 0
19.745 * [taylor]: Taking taylor expansion of 0 in K
19.745 * [backup-simplify]: Simplify 0 into 0
19.745 * [backup-simplify]: Simplify 0 into 0
19.745 * [backup-simplify]: Simplify 0 into 0
19.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.745 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.745 * [backup-simplify]: Simplify (+ 0) into 0
19.746 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.746 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.747 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.747 * [backup-simplify]: Simplify (- 0) into 0
19.747 * [backup-simplify]: Simplify (+ 0 0) into 0
19.747 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
19.747 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 (pow J 2))) into 0
19.748 * [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
19.748 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))) into 0
19.748 * [backup-simplify]: Simplify (+ 0 0) into 0
19.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (* 1/2 K)) 2) (pow J 2))))))) (* 2 1)) into 0
19.749 * [taylor]: Taking taylor expansion of 0 in J
19.749 * [backup-simplify]: Simplify 0 into 0
19.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.750 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.750 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
19.751 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.752 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.752 * [backup-simplify]: Simplify (- 0) into 0
19.752 * [backup-simplify]: Simplify (+ 0 0) into 0
19.752 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
19.753 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
19.753 * [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
19.753 * [taylor]: Taking taylor expansion of 0 in K
19.753 * [backup-simplify]: Simplify 0 into 0
19.753 * [backup-simplify]: Simplify 0 into 0
19.753 * [taylor]: Taking taylor expansion of 0 in K
19.753 * [backup-simplify]: Simplify 0 into 0
19.753 * [backup-simplify]: Simplify 0 into 0
19.753 * [backup-simplify]: Simplify 1 into 1
19.753 * [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))
19.753 * [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
19.753 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
19.754 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
19.754 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
19.754 * [taylor]: Taking taylor expansion of 1/4 in K
19.754 * [backup-simplify]: Simplify 1/4 into 1/4
19.754 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
19.754 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.754 * [taylor]: Taking taylor expansion of J in K
19.754 * [backup-simplify]: Simplify J into J
19.754 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
19.754 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.754 * [taylor]: Taking taylor expansion of U in K
19.754 * [backup-simplify]: Simplify U into U
19.754 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
19.754 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.754 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.754 * [taylor]: Taking taylor expansion of 1/2 in K
19.754 * [backup-simplify]: Simplify 1/2 into 1/2
19.754 * [taylor]: Taking taylor expansion of K in K
19.754 * [backup-simplify]: Simplify 0 into 0
19.754 * [backup-simplify]: Simplify 1 into 1
19.754 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.754 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.754 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.754 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.754 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.754 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
19.754 * [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)))
19.755 * [taylor]: Taking taylor expansion of 1 in K
19.755 * [backup-simplify]: Simplify 1 into 1
19.755 * [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))))
19.755 * [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)
19.755 * [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))
19.755 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.755 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.755 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.755 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.756 * [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
19.756 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
19.756 * [backup-simplify]: Simplify (+ 0 0) into 0
19.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
19.757 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
19.757 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
19.757 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
19.757 * [taylor]: Taking taylor expansion of 1/4 in J
19.757 * [backup-simplify]: Simplify 1/4 into 1/4
19.757 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
19.757 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.757 * [taylor]: Taking taylor expansion of J in J
19.757 * [backup-simplify]: Simplify 0 into 0
19.757 * [backup-simplify]: Simplify 1 into 1
19.757 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
19.757 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.757 * [taylor]: Taking taylor expansion of U in J
19.757 * [backup-simplify]: Simplify U into U
19.757 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
19.757 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.757 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.757 * [taylor]: Taking taylor expansion of 1/2 in J
19.757 * [backup-simplify]: Simplify 1/2 into 1/2
19.757 * [taylor]: Taking taylor expansion of K in J
19.757 * [backup-simplify]: Simplify K into K
19.757 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.757 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.757 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.757 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.757 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.757 * [backup-simplify]: Simplify (- 0) into 0
19.757 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.758 * [backup-simplify]: Simplify (* 1 1) into 1
19.758 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.758 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.758 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
19.758 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
19.758 * [taylor]: Taking taylor expansion of 1 in J
19.758 * [backup-simplify]: Simplify 1 into 1
19.758 * [backup-simplify]: Simplify (+ 0 1) into 1
19.759 * [backup-simplify]: Simplify (sqrt 1) into 1
19.759 * [backup-simplify]: Simplify (+ 0 0) into 0
19.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.759 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
19.759 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
19.759 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
19.759 * [taylor]: Taking taylor expansion of 1/4 in U
19.759 * [backup-simplify]: Simplify 1/4 into 1/4
19.759 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
19.759 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.759 * [taylor]: Taking taylor expansion of J in U
19.759 * [backup-simplify]: Simplify J into J
19.759 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
19.759 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.759 * [taylor]: Taking taylor expansion of U in U
19.759 * [backup-simplify]: Simplify 0 into 0
19.759 * [backup-simplify]: Simplify 1 into 1
19.759 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
19.759 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.760 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.760 * [taylor]: Taking taylor expansion of 1/2 in U
19.760 * [backup-simplify]: Simplify 1/2 into 1/2
19.760 * [taylor]: Taking taylor expansion of K in U
19.760 * [backup-simplify]: Simplify K into K
19.760 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.760 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.760 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.760 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.760 * [backup-simplify]: Simplify (- 0) into 0
19.760 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.760 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.760 * [backup-simplify]: Simplify (* 1 1) into 1
19.760 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.761 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
19.761 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
19.761 * [taylor]: Taking taylor expansion of 1 in U
19.761 * [backup-simplify]: Simplify 1 into 1
19.761 * [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)))
19.761 * [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)))
19.761 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
19.761 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.762 * [backup-simplify]: Simplify (+ 0) into 0
19.762 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.762 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.762 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.763 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.763 * [backup-simplify]: Simplify (- 0) into 0
19.763 * [backup-simplify]: Simplify (+ 0 0) into 0
19.763 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.764 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.764 * [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
19.765 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
19.765 * [backup-simplify]: Simplify (+ 0 0) into 0
19.765 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
19.765 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
19.765 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
19.765 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
19.765 * [taylor]: Taking taylor expansion of 1/4 in U
19.765 * [backup-simplify]: Simplify 1/4 into 1/4
19.765 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
19.765 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.765 * [taylor]: Taking taylor expansion of J in U
19.765 * [backup-simplify]: Simplify J into J
19.765 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
19.765 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.765 * [taylor]: Taking taylor expansion of U in U
19.765 * [backup-simplify]: Simplify 0 into 0
19.765 * [backup-simplify]: Simplify 1 into 1
19.765 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
19.765 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.765 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.765 * [taylor]: Taking taylor expansion of 1/2 in U
19.765 * [backup-simplify]: Simplify 1/2 into 1/2
19.765 * [taylor]: Taking taylor expansion of K in U
19.765 * [backup-simplify]: Simplify K into K
19.765 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.765 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.765 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.765 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.766 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.766 * [backup-simplify]: Simplify (- 0) into 0
19.766 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.766 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.766 * [backup-simplify]: Simplify (* 1 1) into 1
19.766 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.766 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
19.766 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
19.766 * [taylor]: Taking taylor expansion of 1 in U
19.766 * [backup-simplify]: Simplify 1 into 1
19.767 * [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)))
19.767 * [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)))
19.767 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
19.767 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.767 * [backup-simplify]: Simplify (+ 0) into 0
19.767 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.767 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.768 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.768 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.768 * [backup-simplify]: Simplify (- 0) into 0
19.769 * [backup-simplify]: Simplify (+ 0 0) into 0
19.769 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.770 * [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
19.770 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
19.770 * [backup-simplify]: Simplify (+ 0 0) into 0
19.770 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
19.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ 1/2 K)))) in J
19.771 * [taylor]: Taking taylor expansion of 1/2 in J
19.771 * [backup-simplify]: Simplify 1/2 into 1/2
19.771 * [taylor]: Taking taylor expansion of (/ J (cos (/ 1/2 K))) in J
19.771 * [taylor]: Taking taylor expansion of J in J
19.771 * [backup-simplify]: Simplify 0 into 0
19.771 * [backup-simplify]: Simplify 1 into 1
19.771 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.771 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.771 * [taylor]: Taking taylor expansion of 1/2 in J
19.771 * [backup-simplify]: Simplify 1/2 into 1/2
19.771 * [taylor]: Taking taylor expansion of K in J
19.771 * [backup-simplify]: Simplify K into K
19.771 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.771 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.771 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.771 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.771 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.771 * [backup-simplify]: Simplify (- 0) into 0
19.771 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.771 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
19.771 * [taylor]: Taking taylor expansion of 0 in J
19.771 * [backup-simplify]: Simplify 0 into 0
19.771 * [taylor]: Taking taylor expansion of 0 in K
19.771 * [backup-simplify]: Simplify 0 into 0
19.771 * [backup-simplify]: Simplify 0 into 0
19.771 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ 1/2 K)))) into (/ 1/2 (cos (/ 1/2 K)))
19.772 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ 1/2 K))) in K
19.772 * [taylor]: Taking taylor expansion of 1/2 in K
19.772 * [backup-simplify]: Simplify 1/2 into 1/2
19.772 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.772 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.772 * [taylor]: Taking taylor expansion of 1/2 in K
19.772 * [backup-simplify]: Simplify 1/2 into 1/2
19.772 * [taylor]: Taking taylor expansion of K in K
19.772 * [backup-simplify]: Simplify 0 into 0
19.772 * [backup-simplify]: Simplify 1 into 1
19.772 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.772 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.772 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
19.772 * [backup-simplify]: Simplify (/ 1/2 (cos (/ 1/2 K))) into (/ 1/2 (cos (/ 1/2 K)))
19.772 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
19.773 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.773 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.773 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.774 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.774 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.774 * [backup-simplify]: Simplify (- 0) into 0
19.775 * [backup-simplify]: Simplify (+ 0 0) into 0
19.775 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
19.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.776 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2)))) into 0
19.776 * [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
19.777 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))))) into 0
19.777 * [backup-simplify]: Simplify (+ 0 1) into 1
19.778 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into (/ (cos (/ 1/2 K)) J)
19.778 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
19.778 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.778 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.778 * [taylor]: Taking taylor expansion of 1/2 in J
19.778 * [backup-simplify]: Simplify 1/2 into 1/2
19.778 * [taylor]: Taking taylor expansion of K in J
19.778 * [backup-simplify]: Simplify K into K
19.778 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.778 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.778 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.778 * [taylor]: Taking taylor expansion of J in J
19.778 * [backup-simplify]: Simplify 0 into 0
19.778 * [backup-simplify]: Simplify 1 into 1
19.778 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.778 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.778 * [backup-simplify]: Simplify (- 0) into 0
19.778 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.779 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.779 * [backup-simplify]: Simplify (+ 0) into 0
19.779 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.779 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.780 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.780 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.780 * [backup-simplify]: Simplify (- 0) into 0
19.780 * [backup-simplify]: Simplify (+ 0 0) into 0
19.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
19.781 * [taylor]: Taking taylor expansion of 0 in K
19.781 * [backup-simplify]: Simplify 0 into 0
19.781 * [backup-simplify]: Simplify 0 into 0
19.781 * [taylor]: Taking taylor expansion of 0 in K
19.781 * [backup-simplify]: Simplify 0 into 0
19.781 * [backup-simplify]: Simplify 0 into 0
19.781 * [backup-simplify]: Simplify (+ 0) into 0
19.782 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.782 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.782 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.782 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.783 * [backup-simplify]: Simplify (- 0) into 0
19.783 * [backup-simplify]: Simplify (+ 0 0) into 0
19.783 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
19.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
19.783 * [taylor]: Taking taylor expansion of 0 in K
19.783 * [backup-simplify]: Simplify 0 into 0
19.783 * [backup-simplify]: Simplify 0 into 0
19.783 * [backup-simplify]: Simplify 0 into 0
19.784 * [backup-simplify]: Simplify (- (/ 0 (cos (/ 1/2 K))) (+ (* (/ 1/2 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
19.784 * [backup-simplify]: Simplify 0 into 0
19.784 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
19.785 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.785 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.785 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.786 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.787 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.787 * [backup-simplify]: Simplify (- 0) into 0
19.787 * [backup-simplify]: Simplify (+ 0 0) into 0
19.788 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
19.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cos (/ 1/2 K)) 2))))) into 0
19.789 * [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
19.790 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
19.790 * [backup-simplify]: Simplify (+ 0 0) into 0
19.791 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ 1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ 1/2 K)))))) into 0
19.791 * [taylor]: Taking taylor expansion of 0 in J
19.791 * [backup-simplify]: Simplify 0 into 0
19.791 * [taylor]: Taking taylor expansion of 0 in K
19.791 * [backup-simplify]: Simplify 0 into 0
19.791 * [backup-simplify]: Simplify 0 into 0
19.791 * [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)))
19.791 * [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))))))
19.791 * [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
19.791 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
19.791 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
19.791 * [taylor]: Taking taylor expansion of 1 in K
19.791 * [backup-simplify]: Simplify 1 into 1
19.791 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
19.791 * [taylor]: Taking taylor expansion of 1/4 in K
19.791 * [backup-simplify]: Simplify 1/4 into 1/4
19.791 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
19.791 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.791 * [taylor]: Taking taylor expansion of J in K
19.791 * [backup-simplify]: Simplify J into J
19.791 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
19.791 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
19.791 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
19.791 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
19.791 * [taylor]: Taking taylor expansion of -1/2 in K
19.791 * [backup-simplify]: Simplify -1/2 into -1/2
19.791 * [taylor]: Taking taylor expansion of K in K
19.791 * [backup-simplify]: Simplify 0 into 0
19.791 * [backup-simplify]: Simplify 1 into 1
19.795 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.795 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.795 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.795 * [taylor]: Taking taylor expansion of U in K
19.796 * [backup-simplify]: Simplify U into U
19.796 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.796 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.796 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.796 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
19.796 * [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)))
19.796 * [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))))
19.796 * [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)))))
19.796 * [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))))))
19.797 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.797 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.797 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
19.797 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
19.797 * [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
19.798 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
19.798 * [backup-simplify]: Simplify (+ 0 0) into 0
19.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
19.798 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
19.798 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
19.798 * [taylor]: Taking taylor expansion of 1 in J
19.798 * [backup-simplify]: Simplify 1 into 1
19.798 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
19.798 * [taylor]: Taking taylor expansion of 1/4 in J
19.798 * [backup-simplify]: Simplify 1/4 into 1/4
19.798 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
19.798 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.798 * [taylor]: Taking taylor expansion of J in J
19.798 * [backup-simplify]: Simplify 0 into 0
19.798 * [backup-simplify]: Simplify 1 into 1
19.798 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
19.798 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
19.798 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.798 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.798 * [taylor]: Taking taylor expansion of -1/2 in J
19.798 * [backup-simplify]: Simplify -1/2 into -1/2
19.799 * [taylor]: Taking taylor expansion of K in J
19.799 * [backup-simplify]: Simplify K into K
19.799 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.799 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.799 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.799 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.799 * [backup-simplify]: Simplify (- 0) into 0
19.799 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.799 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.799 * [taylor]: Taking taylor expansion of U in J
19.799 * [backup-simplify]: Simplify U into U
19.799 * [backup-simplify]: Simplify (* 1 1) into 1
19.799 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.799 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.800 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
19.800 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
19.800 * [backup-simplify]: Simplify (+ 1 0) into 1
19.800 * [backup-simplify]: Simplify (sqrt 1) into 1
19.801 * [backup-simplify]: Simplify (+ 0 0) into 0
19.801 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.801 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
19.801 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
19.801 * [taylor]: Taking taylor expansion of 1 in U
19.801 * [backup-simplify]: Simplify 1 into 1
19.801 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
19.801 * [taylor]: Taking taylor expansion of 1/4 in U
19.801 * [backup-simplify]: Simplify 1/4 into 1/4
19.801 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
19.801 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.801 * [taylor]: Taking taylor expansion of J in U
19.801 * [backup-simplify]: Simplify J into J
19.801 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
19.801 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
19.801 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
19.801 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
19.801 * [taylor]: Taking taylor expansion of -1/2 in U
19.801 * [backup-simplify]: Simplify -1/2 into -1/2
19.801 * [taylor]: Taking taylor expansion of K in U
19.801 * [backup-simplify]: Simplify K into K
19.801 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.801 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.801 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.802 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.802 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.802 * [backup-simplify]: Simplify (- 0) into 0
19.802 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.802 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.802 * [taylor]: Taking taylor expansion of U in U
19.802 * [backup-simplify]: Simplify 0 into 0
19.802 * [backup-simplify]: Simplify 1 into 1
19.802 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.802 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.802 * [backup-simplify]: Simplify (* 1 1) into 1
19.803 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
19.803 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
19.803 * [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)))
19.803 * [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)))
19.803 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
19.803 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.804 * [backup-simplify]: Simplify (+ 0) into 0
19.804 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.804 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.805 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.805 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.805 * [backup-simplify]: Simplify (- 0) into 0
19.805 * [backup-simplify]: Simplify (+ 0 0) into 0
19.805 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
19.806 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
19.806 * [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
19.806 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
19.807 * [backup-simplify]: Simplify (+ 0 0) into 0
19.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
19.807 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
19.807 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
19.807 * [taylor]: Taking taylor expansion of 1 in U
19.807 * [backup-simplify]: Simplify 1 into 1
19.807 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
19.807 * [taylor]: Taking taylor expansion of 1/4 in U
19.807 * [backup-simplify]: Simplify 1/4 into 1/4
19.807 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
19.807 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.807 * [taylor]: Taking taylor expansion of J in U
19.807 * [backup-simplify]: Simplify J into J
19.807 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
19.807 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
19.807 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
19.807 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
19.807 * [taylor]: Taking taylor expansion of -1/2 in U
19.807 * [backup-simplify]: Simplify -1/2 into -1/2
19.807 * [taylor]: Taking taylor expansion of K in U
19.807 * [backup-simplify]: Simplify K into K
19.807 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.807 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.807 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.807 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.807 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.808 * [backup-simplify]: Simplify (- 0) into 0
19.808 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.808 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.808 * [taylor]: Taking taylor expansion of U in U
19.808 * [backup-simplify]: Simplify 0 into 0
19.808 * [backup-simplify]: Simplify 1 into 1
19.808 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.808 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.808 * [backup-simplify]: Simplify (* 1 1) into 1
19.808 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
19.808 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
19.808 * [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)))
19.808 * [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)))
19.809 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
19.809 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.809 * [backup-simplify]: Simplify (+ 0) into 0
19.810 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.810 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.810 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.810 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.811 * [backup-simplify]: Simplify (- 0) into 0
19.811 * [backup-simplify]: Simplify (+ 0 0) into 0
19.811 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
19.811 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
19.812 * [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
19.812 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
19.812 * [backup-simplify]: Simplify (+ 0 0) into 0
19.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
19.813 * [taylor]: Taking taylor expansion of (* 1/2 (/ J (cos (/ -1/2 K)))) in J
19.813 * [taylor]: Taking taylor expansion of 1/2 in J
19.813 * [backup-simplify]: Simplify 1/2 into 1/2
19.813 * [taylor]: Taking taylor expansion of (/ J (cos (/ -1/2 K))) in J
19.813 * [taylor]: Taking taylor expansion of J in J
19.813 * [backup-simplify]: Simplify 0 into 0
19.813 * [backup-simplify]: Simplify 1 into 1
19.813 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.813 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.813 * [taylor]: Taking taylor expansion of -1/2 in J
19.813 * [backup-simplify]: Simplify -1/2 into -1/2
19.813 * [taylor]: Taking taylor expansion of K in J
19.813 * [backup-simplify]: Simplify K into K
19.813 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.813 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.813 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.813 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.813 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.813 * [backup-simplify]: Simplify (- 0) into 0
19.813 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.813 * [backup-simplify]: Simplify (/ 1 (cos (/ -1/2 K))) into (/ 1 (cos (/ -1/2 K)))
19.813 * [taylor]: Taking taylor expansion of 0 in J
19.814 * [backup-simplify]: Simplify 0 into 0
19.814 * [taylor]: Taking taylor expansion of 0 in K
19.814 * [backup-simplify]: Simplify 0 into 0
19.814 * [backup-simplify]: Simplify 0 into 0
19.814 * [backup-simplify]: Simplify (* 1/2 (/ 1 (cos (/ -1/2 K)))) into (/ 1/2 (cos (/ -1/2 K)))
19.814 * [taylor]: Taking taylor expansion of (/ 1/2 (cos (/ -1/2 K))) in K
19.814 * [taylor]: Taking taylor expansion of 1/2 in K
19.814 * [backup-simplify]: Simplify 1/2 into 1/2
19.814 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
19.814 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
19.814 * [taylor]: Taking taylor expansion of -1/2 in K
19.814 * [backup-simplify]: Simplify -1/2 into -1/2
19.814 * [taylor]: Taking taylor expansion of K in K
19.814 * [backup-simplify]: Simplify 0 into 0
19.814 * [backup-simplify]: Simplify 1 into 1
19.814 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.814 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.814 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
19.814 * [backup-simplify]: Simplify (/ 1/2 (cos (/ -1/2 K))) into (/ 1/2 (cos (/ -1/2 K)))
19.815 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (* 0 J))) into 0
19.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.816 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.816 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.816 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.817 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.817 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.817 * [backup-simplify]: Simplify (- 0) into 0
19.817 * [backup-simplify]: Simplify (+ 0 0) into 0
19.818 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
19.818 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
19.819 * [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
19.819 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))))) into 0
19.819 * [backup-simplify]: Simplify (+ 1 0) into 1
19.820 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into (/ (cos (/ -1/2 K)) J)
19.820 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
19.820 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.820 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.820 * [taylor]: Taking taylor expansion of -1/2 in J
19.820 * [backup-simplify]: Simplify -1/2 into -1/2
19.820 * [taylor]: Taking taylor expansion of K in J
19.820 * [backup-simplify]: Simplify K into K
19.820 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.820 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.820 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.820 * [taylor]: Taking taylor expansion of J in J
19.820 * [backup-simplify]: Simplify 0 into 0
19.820 * [backup-simplify]: Simplify 1 into 1
19.820 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.820 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.821 * [backup-simplify]: Simplify (- 0) into 0
19.821 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.821 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.821 * [backup-simplify]: Simplify (+ 0) into 0
19.821 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.821 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.822 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.822 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.823 * [backup-simplify]: Simplify (- 0) into 0
19.823 * [backup-simplify]: Simplify (+ 0 0) into 0
19.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
19.824 * [taylor]: Taking taylor expansion of 0 in K
19.824 * [backup-simplify]: Simplify 0 into 0
19.824 * [backup-simplify]: Simplify 0 into 0
19.824 * [taylor]: Taking taylor expansion of 0 in K
19.824 * [backup-simplify]: Simplify 0 into 0
19.824 * [backup-simplify]: Simplify 0 into 0
19.824 * [backup-simplify]: Simplify (+ 0) into 0
19.825 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.825 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.825 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.826 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.826 * [backup-simplify]: Simplify (- 0) into 0
19.826 * [backup-simplify]: Simplify (+ 0 0) into 0
19.827 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
19.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (/ 1 (cos (/ -1/2 K))))) into 0
19.827 * [taylor]: Taking taylor expansion of 0 in K
19.827 * [backup-simplify]: Simplify 0 into 0
19.827 * [backup-simplify]: Simplify 0 into 0
19.827 * [backup-simplify]: Simplify 0 into 0
19.827 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/2 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
19.827 * [backup-simplify]: Simplify 0 into 0
19.828 * [backup-simplify]: Simplify (+ (* J 0) (+ (* 0 0) (+ (* 0 0) (* 0 J)))) into 0
19.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.830 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.831 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.831 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.833 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.833 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.834 * [backup-simplify]: Simplify (- 0) into 0
19.834 * [backup-simplify]: Simplify (+ 0 0) into 0
19.835 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
19.836 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.837 * [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
19.838 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
19.838 * [backup-simplify]: Simplify (+ 0 0) into 0
19.839 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ (cos (/ -1/2 K)) J))))) (* 2 (* 1/2 (/ J (cos (/ -1/2 K)))))) into 0
19.839 * [taylor]: Taking taylor expansion of 0 in J
19.839 * [backup-simplify]: Simplify 0 into 0
19.839 * [taylor]: Taking taylor expansion of 0 in K
19.839 * [backup-simplify]: Simplify 0 into 0
19.839 * [backup-simplify]: Simplify 0 into 0
19.839 * [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)))
19.839 * * * * [progress]: [ 2 / 4 ] generating series at (2)
19.840 * [backup-simplify]: Simplify (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))
19.840 * [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
19.840 * [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
19.840 * [taylor]: Taking taylor expansion of -2 in U
19.840 * [backup-simplify]: Simplify -2 into -2
19.840 * [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
19.840 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in U
19.840 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
19.840 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
19.840 * [taylor]: Taking taylor expansion of 1/2 in U
19.840 * [backup-simplify]: Simplify 1/2 into 1/2
19.840 * [taylor]: Taking taylor expansion of K in U
19.840 * [backup-simplify]: Simplify K into K
19.840 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.840 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.840 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.840 * [taylor]: Taking taylor expansion of J in U
19.840 * [backup-simplify]: Simplify J into J
19.841 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in U
19.841 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in U
19.841 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in U
19.841 * [taylor]: Taking taylor expansion of 1/4 in U
19.841 * [backup-simplify]: Simplify 1/4 into 1/4
19.841 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in U
19.841 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.841 * [taylor]: Taking taylor expansion of U in U
19.841 * [backup-simplify]: Simplify 0 into 0
19.841 * [backup-simplify]: Simplify 1 into 1
19.841 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in U
19.841 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in U
19.841 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in U
19.841 * [taylor]: Taking taylor expansion of (* 1/2 K) in U
19.841 * [taylor]: Taking taylor expansion of 1/2 in U
19.841 * [backup-simplify]: Simplify 1/2 into 1/2
19.841 * [taylor]: Taking taylor expansion of K in U
19.841 * [backup-simplify]: Simplify K into K
19.841 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.841 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.841 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.841 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.841 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.842 * [backup-simplify]: Simplify (- 0) into 0
19.842 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.842 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.842 * [taylor]: Taking taylor expansion of J in U
19.842 * [backup-simplify]: Simplify J into J
19.842 * [backup-simplify]: Simplify (* 1 1) into 1
19.842 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.842 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.843 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) (pow J 2)) into (* (pow (cos (* 1/2 K)) 2) (pow J 2))
19.843 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2))) into (/ 1 (* (pow (cos (* 1/2 K)) 2) (pow J 2)))
19.843 * [taylor]: Taking taylor expansion of 1 in U
19.843 * [backup-simplify]: Simplify 1 into 1
19.843 * [backup-simplify]: Simplify (+ 0 1) into 1
19.844 * [backup-simplify]: Simplify (sqrt 1) into 1
19.844 * [backup-simplify]: Simplify (+ 0 0) into 0
19.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.845 * [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
19.845 * [taylor]: Taking taylor expansion of -2 in K
19.845 * [backup-simplify]: Simplify -2 into -2
19.845 * [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
19.845 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in K
19.845 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
19.845 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
19.845 * [taylor]: Taking taylor expansion of 1/2 in K
19.845 * [backup-simplify]: Simplify 1/2 into 1/2
19.845 * [taylor]: Taking taylor expansion of K in K
19.845 * [backup-simplify]: Simplify 0 into 0
19.845 * [backup-simplify]: Simplify 1 into 1
19.845 * [backup-simplify]: Simplify (* 1/2 0) into 0
19.846 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
19.846 * [taylor]: Taking taylor expansion of J in K
19.846 * [backup-simplify]: Simplify J into J
19.846 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in K
19.846 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in K
19.846 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in K
19.846 * [taylor]: Taking taylor expansion of 1/4 in K
19.846 * [backup-simplify]: Simplify 1/4 into 1/4
19.846 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in K
19.846 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.846 * [taylor]: Taking taylor expansion of U in K
19.846 * [backup-simplify]: Simplify U into U
19.846 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in K
19.846 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in K
19.846 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
19.846 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
19.846 * [taylor]: Taking taylor expansion of 1/2 in K
19.847 * [backup-simplify]: Simplify 1/2 into 1/2
19.847 * [taylor]: Taking taylor expansion of K in K
19.847 * [backup-simplify]: Simplify 0 into 0
19.847 * [backup-simplify]: Simplify 1 into 1
19.847 * [backup-simplify]: Simplify (* 1/2 0) into 0
19.848 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
19.848 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.848 * [taylor]: Taking taylor expansion of J in K
19.848 * [backup-simplify]: Simplify J into J
19.848 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.848 * [backup-simplify]: Simplify (* 1 1) into 1
19.848 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.848 * [backup-simplify]: Simplify (* 1 (pow J 2)) into (pow J 2)
19.848 * [backup-simplify]: Simplify (/ (pow U 2) (pow J 2)) into (/ (pow U 2) (pow J 2))
19.848 * [taylor]: Taking taylor expansion of 1 in K
19.848 * [backup-simplify]: Simplify 1 into 1
19.849 * [backup-simplify]: Simplify (* 1/4 (/ (pow U 2) (pow J 2))) into (* 1/4 (/ (pow U 2) (pow J 2)))
19.849 * [backup-simplify]: Simplify (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1) into (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)
19.849 * [backup-simplify]: Simplify (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)) into (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1))
19.849 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.849 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.850 * [backup-simplify]: Simplify (+ 0) into 0
19.850 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow J 2))) into 0
19.851 * [backup-simplify]: Simplify (- (/ 0 (pow J 2)) (+ (* (/ (pow U 2) (pow J 2)) (/ 0 (pow J 2))))) into 0
19.852 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow J 2)))) into 0
19.852 * [backup-simplify]: Simplify (+ 0 0) into 0
19.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow U 2) (pow J 2))) 1)))) into 0
19.852 * [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
19.852 * [taylor]: Taking taylor expansion of -2 in J
19.852 * [backup-simplify]: Simplify -2 into -2
19.852 * [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
19.852 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
19.852 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.852 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.852 * [taylor]: Taking taylor expansion of 1/2 in J
19.852 * [backup-simplify]: Simplify 1/2 into 1/2
19.852 * [taylor]: Taking taylor expansion of K in J
19.852 * [backup-simplify]: Simplify K into K
19.853 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.853 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.853 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.853 * [taylor]: Taking taylor expansion of J in J
19.853 * [backup-simplify]: Simplify 0 into 0
19.853 * [backup-simplify]: Simplify 1 into 1
19.853 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
19.853 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
19.853 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
19.853 * [taylor]: Taking taylor expansion of 1/4 in J
19.853 * [backup-simplify]: Simplify 1/4 into 1/4
19.853 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
19.853 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.853 * [taylor]: Taking taylor expansion of U in J
19.853 * [backup-simplify]: Simplify U into U
19.853 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
19.853 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
19.853 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.853 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.853 * [taylor]: Taking taylor expansion of 1/2 in J
19.853 * [backup-simplify]: Simplify 1/2 into 1/2
19.853 * [taylor]: Taking taylor expansion of K in J
19.853 * [backup-simplify]: Simplify K into K
19.853 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.853 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.853 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.853 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.854 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.854 * [backup-simplify]: Simplify (- 0) into 0
19.854 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.854 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.854 * [taylor]: Taking taylor expansion of J in J
19.854 * [backup-simplify]: Simplify 0 into 0
19.854 * [backup-simplify]: Simplify 1 into 1
19.854 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.854 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.855 * [backup-simplify]: Simplify (* 1 1) into 1
19.855 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
19.855 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
19.855 * [taylor]: Taking taylor expansion of 1 in J
19.855 * [backup-simplify]: Simplify 1 into 1
19.855 * [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)))
19.855 * [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)))
19.856 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
19.856 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.856 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.857 * [backup-simplify]: Simplify (+ 0) into 0
19.857 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.857 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.858 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.858 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.858 * [backup-simplify]: Simplify (- 0) into 0
19.859 * [backup-simplify]: Simplify (+ 0 0) into 0
19.859 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
19.859 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
19.859 * [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
19.860 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
19.860 * [backup-simplify]: Simplify (+ 0 0) into 0
19.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
19.860 * [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
19.860 * [taylor]: Taking taylor expansion of -2 in J
19.860 * [backup-simplify]: Simplify -2 into -2
19.860 * [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
19.860 * [taylor]: Taking taylor expansion of (* (cos (* 1/2 K)) J) in J
19.860 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.860 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.860 * [taylor]: Taking taylor expansion of 1/2 in J
19.860 * [backup-simplify]: Simplify 1/2 into 1/2
19.860 * [taylor]: Taking taylor expansion of K in J
19.860 * [backup-simplify]: Simplify K into K
19.860 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.860 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.860 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.860 * [taylor]: Taking taylor expansion of J in J
19.860 * [backup-simplify]: Simplify 0 into 0
19.860 * [backup-simplify]: Simplify 1 into 1
19.860 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1)) in J
19.860 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) 1) in J
19.860 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2)))) in J
19.860 * [taylor]: Taking taylor expansion of 1/4 in J
19.860 * [backup-simplify]: Simplify 1/4 into 1/4
19.860 * [taylor]: Taking taylor expansion of (/ (pow U 2) (* (pow (cos (* 1/2 K)) 2) (pow J 2))) in J
19.860 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.860 * [taylor]: Taking taylor expansion of U in J
19.860 * [backup-simplify]: Simplify U into U
19.860 * [taylor]: Taking taylor expansion of (* (pow (cos (* 1/2 K)) 2) (pow J 2)) in J
19.860 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 2) in J
19.860 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in J
19.860 * [taylor]: Taking taylor expansion of (* 1/2 K) in J
19.860 * [taylor]: Taking taylor expansion of 1/2 in J
19.861 * [backup-simplify]: Simplify 1/2 into 1/2
19.861 * [taylor]: Taking taylor expansion of K in J
19.861 * [backup-simplify]: Simplify K into K
19.861 * [backup-simplify]: Simplify (* 1/2 K) into (* 1/2 K)
19.861 * [backup-simplify]: Simplify (cos (* 1/2 K)) into (cos (* 1/2 K))
19.861 * [backup-simplify]: Simplify (sin (* 1/2 K)) into (sin (* 1/2 K))
19.861 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.861 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.861 * [backup-simplify]: Simplify (- 0) into 0
19.861 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.861 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.861 * [taylor]: Taking taylor expansion of J in J
19.861 * [backup-simplify]: Simplify 0 into 0
19.861 * [backup-simplify]: Simplify 1 into 1
19.861 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.861 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) (cos (* 1/2 K))) into (pow (cos (* 1/2 K)) 2)
19.861 * [backup-simplify]: Simplify (* 1 1) into 1
19.862 * [backup-simplify]: Simplify (* (pow (cos (* 1/2 K)) 2) 1) into (pow (cos (* 1/2 K)) 2)
19.862 * [backup-simplify]: Simplify (/ (pow U 2) (pow (cos (* 1/2 K)) 2)) into (/ (pow U 2) (pow (cos (* 1/2 K)) 2))
19.862 * [taylor]: Taking taylor expansion of 1 in J
19.862 * [backup-simplify]: Simplify 1 into 1
19.862 * [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)))
19.862 * [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)))
19.862 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into (* 1/2 (/ U (cos (* 1/2 K))))
19.862 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.863 * [backup-simplify]: Simplify (+ 0) into 0
19.863 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.864 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.864 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.864 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.865 * [backup-simplify]: Simplify (- 0) into 0
19.865 * [backup-simplify]: Simplify (+ 0 0) into 0
19.865 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 (cos (* 1/2 K)))) into 0
19.865 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (* 0 1)) into 0
19.865 * [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
19.866 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))) into 0
19.866 * [backup-simplify]: Simplify (+ 0 0) into 0
19.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow U 2) (pow (cos (* 1/2 K)) 2)))))) into 0
19.866 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 1) into (cos (* 1/2 K))
19.866 * [backup-simplify]: Simplify (* (sin (* 1/2 K)) 0) into 0
19.867 * [backup-simplify]: Simplify (- 0) into 0
19.867 * [backup-simplify]: Simplify (+ (cos (* 1/2 K)) 0) into (cos (* 1/2 K))
19.867 * [backup-simplify]: Simplify (* (cos (* 1/2 K)) 0) into 0
19.867 * [backup-simplify]: Simplify (* 0 (* 1/2 (/ U (cos (* 1/2 K))))) into 0
19.867 * [backup-simplify]: Simplify (* -2 0) into 0
19.867 * [taylor]: Taking taylor expansion of 0 in K
19.867 * [backup-simplify]: Simplify 0 into 0
19.867 * [taylor]: Taking taylor expansion of 0 in U
19.867 * [backup-simplify]: Simplify 0 into 0
19.867 * [backup-simplify]: Simplify 0 into 0
19.867 * [backup-simplify]: Simplify (+ 0) into 0
19.868 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (* 0 1)) into 0
19.868 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 K)) into 0
19.868 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.869 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (* 0 0)) into 0
19.869 * [backup-simplify]: Simplify (- 0) into 0
19.869 * [backup-simplify]: Simplify (+ 0 0) into 0
19.869 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 1) (* 0 0)) into (cos (* 1/2 K))
19.870 * [backup-simplify]: Simplify (+ (* 0 0) (* (cos (* 1/2 K)) (* 1/2 (/ U (cos (* 1/2 K)))))) into (* 1/2 U)
19.870 * [backup-simplify]: Simplify (+ (* -2 (* 1/2 U)) (* 0 0)) into (- U)
19.870 * [taylor]: Taking taylor expansion of (- U) in K
19.870 * [taylor]: Taking taylor expansion of U in K
19.870 * [backup-simplify]: Simplify U into U
19.870 * [backup-simplify]: Simplify (- U) into (- U)
19.870 * [taylor]: Taking taylor expansion of (- U) in U
19.870 * [taylor]: Taking taylor expansion of U in U
19.870 * [backup-simplify]: Simplify 0 into 0
19.870 * [backup-simplify]: Simplify 1 into 1
19.870 * [backup-simplify]: Simplify (- 0) into 0
19.871 * [backup-simplify]: Simplify 0 into 0
19.871 * [taylor]: Taking taylor expansion of 0 in U
19.871 * [backup-simplify]: Simplify 0 into 0
19.871 * [backup-simplify]: Simplify 0 into 0
19.871 * [backup-simplify]: Simplify 0 into 0
19.871 * [backup-simplify]: Simplify (+ (* U 0) (+ (* 0 0) (* 0 U))) into 0
19.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.872 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.872 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
19.873 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.874 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.874 * [backup-simplify]: Simplify (- 0) into 0
19.874 * [backup-simplify]: Simplify (+ 0 0) into 0
19.874 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 (cos (* 1/2 K))))) into 0
19.875 * [backup-simplify]: Simplify (+ (* (pow (cos (* 1/2 K)) 2) 0) (+ (* 0 0) (* 0 1))) into 0
19.875 * [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
19.876 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ (pow U 2) (pow (cos (* 1/2 K)) 2))))) into 0
19.876 * [backup-simplify]: Simplify (+ 0 1) into 1
19.877 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (* 1/2 (/ U (cos (* 1/2 K)))))) into (/ (cos (* 1/2 K)) U)
19.877 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.878 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 K))) into 0
19.879 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.879 * [backup-simplify]: Simplify (+ (* (sin (* 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.879 * [backup-simplify]: Simplify (- 0) into 0
19.880 * [backup-simplify]: Simplify (+ 0 0) into 0
19.880 * [backup-simplify]: Simplify (+ (* (cos (* 1/2 K)) 0) (+ (* 0 1) (* 0 0))) into 0
19.880 * [backup-simplify]: Simplify (+ (* 0 (/ (cos (* 1/2 K)) U)) (+ (* (cos (* 1/2 K)) 0) (* 0 (* 1/2 (/ U (cos (* 1/2 K))))))) into 0
19.881 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 (* 1/2 U)) (* 0 0))) into 0
19.881 * [taylor]: Taking taylor expansion of 0 in K
19.881 * [backup-simplify]: Simplify 0 into 0
19.881 * [taylor]: Taking taylor expansion of 0 in U
19.881 * [backup-simplify]: Simplify 0 into 0
19.881 * [backup-simplify]: Simplify 0 into 0
19.881 * [backup-simplify]: Simplify (- 0) into 0
19.881 * [taylor]: Taking taylor expansion of 0 in U
19.881 * [backup-simplify]: Simplify 0 into 0
19.881 * [backup-simplify]: Simplify 0 into 0
19.881 * [backup-simplify]: Simplify 0 into 0
19.882 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 J)) (* (cbrt (cos (/ (/ 1 K) 2))) (cbrt (cos (/ (/ 1 K) 2))))) (* (* (cbrt (cbrt (cos (/ (/ 1 K) 2)))) (cbrt (cbrt (cos (/ (/ 1 K) 2))))) (cbrt (cbrt (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)))
19.882 * [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
19.882 * [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
19.882 * [taylor]: Taking taylor expansion of -2 in U
19.882 * [backup-simplify]: Simplify -2 into -2
19.882 * [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
19.882 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in U
19.882 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in U
19.882 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in U
19.882 * [taylor]: Taking taylor expansion of 1/4 in U
19.882 * [backup-simplify]: Simplify 1/4 into 1/4
19.882 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in U
19.882 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.882 * [taylor]: Taking taylor expansion of J in U
19.882 * [backup-simplify]: Simplify J into J
19.882 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in U
19.882 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.882 * [taylor]: Taking taylor expansion of U in U
19.882 * [backup-simplify]: Simplify 0 into 0
19.882 * [backup-simplify]: Simplify 1 into 1
19.882 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in U
19.882 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.882 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.882 * [taylor]: Taking taylor expansion of 1/2 in U
19.882 * [backup-simplify]: Simplify 1/2 into 1/2
19.882 * [taylor]: Taking taylor expansion of K in U
19.882 * [backup-simplify]: Simplify K into K
19.882 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.882 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.882 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.882 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.882 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.883 * [backup-simplify]: Simplify (- 0) into 0
19.883 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.883 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.883 * [backup-simplify]: Simplify (* 1 1) into 1
19.883 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.883 * [backup-simplify]: Simplify (* 1 (pow (cos (/ 1/2 K)) 2)) into (pow (cos (/ 1/2 K)) 2)
19.883 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ 1/2 K)) 2))
19.883 * [taylor]: Taking taylor expansion of 1 in U
19.883 * [backup-simplify]: Simplify 1 into 1
19.883 * [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)))
19.883 * [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)))
19.884 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ 1/2 K))))
19.884 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.884 * [backup-simplify]: Simplify (+ 0) into 0
19.884 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.884 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.885 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.885 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.885 * [backup-simplify]: Simplify (- 0) into 0
19.886 * [backup-simplify]: Simplify (+ 0 0) into 0
19.886 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.886 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.887 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ 1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)) (/ 0 (pow (cos (/ 1/2 K)) 2))))) into 0
19.887 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))) into 0
19.887 * [backup-simplify]: Simplify (+ 0 0) into 0
19.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ 1/2 K)) 2)))))) into 0
19.887 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in U
19.887 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.887 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.887 * [taylor]: Taking taylor expansion of 1/2 in U
19.887 * [backup-simplify]: Simplify 1/2 into 1/2
19.887 * [taylor]: Taking taylor expansion of K in U
19.887 * [backup-simplify]: Simplify K into K
19.887 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.887 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.888 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.888 * [taylor]: Taking taylor expansion of J in U
19.888 * [backup-simplify]: Simplify J into J
19.888 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.888 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.888 * [backup-simplify]: Simplify (- 0) into 0
19.888 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.888 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
19.888 * [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
19.888 * [taylor]: Taking taylor expansion of -2 in K
19.888 * [backup-simplify]: Simplify -2 into -2
19.888 * [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
19.888 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in K
19.888 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in K
19.888 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in K
19.888 * [taylor]: Taking taylor expansion of 1/4 in K
19.888 * [backup-simplify]: Simplify 1/4 into 1/4
19.888 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in K
19.888 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.888 * [taylor]: Taking taylor expansion of J in K
19.888 * [backup-simplify]: Simplify J into J
19.888 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in K
19.888 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.888 * [taylor]: Taking taylor expansion of U in K
19.888 * [backup-simplify]: Simplify U into U
19.888 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in K
19.888 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.888 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.888 * [taylor]: Taking taylor expansion of 1/2 in K
19.888 * [backup-simplify]: Simplify 1/2 into 1/2
19.888 * [taylor]: Taking taylor expansion of K in K
19.888 * [backup-simplify]: Simplify 0 into 0
19.888 * [backup-simplify]: Simplify 1 into 1
19.889 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.889 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.889 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.889 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.889 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.889 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
19.889 * [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)))
19.889 * [taylor]: Taking taylor expansion of 1 in K
19.889 * [backup-simplify]: Simplify 1 into 1
19.889 * [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))))
19.889 * [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)
19.890 * [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))
19.890 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.890 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.890 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.890 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.890 * [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
19.891 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
19.891 * [backup-simplify]: Simplify (+ 0 0) into 0
19.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)))) into 0
19.891 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in K
19.891 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.891 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.891 * [taylor]: Taking taylor expansion of 1/2 in K
19.891 * [backup-simplify]: Simplify 1/2 into 1/2
19.891 * [taylor]: Taking taylor expansion of K in K
19.891 * [backup-simplify]: Simplify 0 into 0
19.891 * [backup-simplify]: Simplify 1 into 1
19.892 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.892 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.892 * [taylor]: Taking taylor expansion of J in K
19.892 * [backup-simplify]: Simplify J into J
19.892 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) J) into (/ (cos (/ 1/2 K)) J)
19.892 * [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
19.892 * [taylor]: Taking taylor expansion of -2 in J
19.892 * [backup-simplify]: Simplify -2 into -2
19.892 * [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
19.892 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
19.892 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
19.892 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
19.892 * [taylor]: Taking taylor expansion of 1/4 in J
19.892 * [backup-simplify]: Simplify 1/4 into 1/4
19.892 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
19.892 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.892 * [taylor]: Taking taylor expansion of J in J
19.892 * [backup-simplify]: Simplify 0 into 0
19.892 * [backup-simplify]: Simplify 1 into 1
19.892 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
19.892 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.892 * [taylor]: Taking taylor expansion of U in J
19.892 * [backup-simplify]: Simplify U into U
19.892 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
19.892 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.892 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.892 * [taylor]: Taking taylor expansion of 1/2 in J
19.892 * [backup-simplify]: Simplify 1/2 into 1/2
19.892 * [taylor]: Taking taylor expansion of K in J
19.892 * [backup-simplify]: Simplify K into K
19.892 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.892 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.892 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.892 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.892 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.893 * [backup-simplify]: Simplify (- 0) into 0
19.893 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.893 * [backup-simplify]: Simplify (* 1 1) into 1
19.893 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.893 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.893 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
19.894 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
19.894 * [taylor]: Taking taylor expansion of 1 in J
19.894 * [backup-simplify]: Simplify 1 into 1
19.894 * [backup-simplify]: Simplify (+ 0 1) into 1
19.894 * [backup-simplify]: Simplify (sqrt 1) into 1
19.895 * [backup-simplify]: Simplify (+ 0 0) into 0
19.895 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.896 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
19.896 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.896 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.896 * [taylor]: Taking taylor expansion of 1/2 in J
19.896 * [backup-simplify]: Simplify 1/2 into 1/2
19.896 * [taylor]: Taking taylor expansion of K in J
19.896 * [backup-simplify]: Simplify K into K
19.896 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.896 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.896 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.896 * [taylor]: Taking taylor expansion of J in J
19.896 * [backup-simplify]: Simplify 0 into 0
19.896 * [backup-simplify]: Simplify 1 into 1
19.896 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.896 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.897 * [backup-simplify]: Simplify (- 0) into 0
19.897 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.897 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.897 * [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
19.897 * [taylor]: Taking taylor expansion of -2 in J
19.897 * [backup-simplify]: Simplify -2 into -2
19.897 * [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
19.897 * [taylor]: Taking taylor expansion of (sqrt (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1)) in J
19.897 * [taylor]: Taking taylor expansion of (+ (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) 1) in J
19.897 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))) in J
19.897 * [taylor]: Taking taylor expansion of 1/4 in J
19.897 * [backup-simplify]: Simplify 1/4 into 1/4
19.897 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) in J
19.897 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.897 * [taylor]: Taking taylor expansion of J in J
19.897 * [backup-simplify]: Simplify 0 into 0
19.897 * [backup-simplify]: Simplify 1 into 1
19.897 * [taylor]: Taking taylor expansion of (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) in J
19.897 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.897 * [taylor]: Taking taylor expansion of U in J
19.897 * [backup-simplify]: Simplify U into U
19.897 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 2) in J
19.897 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.897 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.897 * [taylor]: Taking taylor expansion of 1/2 in J
19.897 * [backup-simplify]: Simplify 1/2 into 1/2
19.898 * [taylor]: Taking taylor expansion of K in J
19.898 * [backup-simplify]: Simplify K into K
19.898 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.898 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.898 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.898 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.898 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.898 * [backup-simplify]: Simplify (- 0) into 0
19.898 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.899 * [backup-simplify]: Simplify (* 1 1) into 1
19.899 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.899 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) (cos (/ 1/2 K))) into (pow (cos (/ 1/2 K)) 2)
19.899 * [backup-simplify]: Simplify (* (pow U 2) (pow (cos (/ 1/2 K)) 2)) into (* (pow U 2) (pow (cos (/ 1/2 K)) 2))
19.899 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))) into (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2)))
19.899 * [taylor]: Taking taylor expansion of 1 in J
19.899 * [backup-simplify]: Simplify 1 into 1
19.900 * [backup-simplify]: Simplify (+ 0 1) into 1
19.900 * [backup-simplify]: Simplify (sqrt 1) into 1
19.901 * [backup-simplify]: Simplify (+ 0 0) into 0
19.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.901 * [taylor]: Taking taylor expansion of (/ (cos (/ 1/2 K)) J) in J
19.901 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in J
19.901 * [taylor]: Taking taylor expansion of (/ 1/2 K) in J
19.901 * [taylor]: Taking taylor expansion of 1/2 in J
19.901 * [backup-simplify]: Simplify 1/2 into 1/2
19.901 * [taylor]: Taking taylor expansion of K in J
19.901 * [backup-simplify]: Simplify K into K
19.902 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.902 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.902 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.902 * [taylor]: Taking taylor expansion of J in J
19.902 * [backup-simplify]: Simplify 0 into 0
19.902 * [backup-simplify]: Simplify 1 into 1
19.902 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.902 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.906 * [backup-simplify]: Simplify (- 0) into 0
19.907 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.907 * [backup-simplify]: Simplify (/ (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.907 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
19.907 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
19.907 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in K
19.907 * [taylor]: Taking taylor expansion of -2 in K
19.907 * [backup-simplify]: Simplify -2 into -2
19.907 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.907 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.907 * [taylor]: Taking taylor expansion of 1/2 in K
19.907 * [backup-simplify]: Simplify 1/2 into 1/2
19.907 * [taylor]: Taking taylor expansion of K in K
19.907 * [backup-simplify]: Simplify 0 into 0
19.907 * [backup-simplify]: Simplify 1 into 1
19.908 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.908 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.908 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
19.908 * [taylor]: Taking taylor expansion of (* -2 (cos (/ 1/2 K))) in U
19.908 * [taylor]: Taking taylor expansion of -2 in U
19.908 * [backup-simplify]: Simplify -2 into -2
19.908 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.908 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.908 * [taylor]: Taking taylor expansion of 1/2 in U
19.908 * [backup-simplify]: Simplify 1/2 into 1/2
19.908 * [taylor]: Taking taylor expansion of K in U
19.908 * [backup-simplify]: Simplify K into K
19.908 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.908 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.908 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.909 * [backup-simplify]: Simplify (+ 0) into 0
19.909 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.910 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.910 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.911 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.911 * [backup-simplify]: Simplify (- 0) into 0
19.912 * [backup-simplify]: Simplify (+ 0 0) into 0
19.913 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)))) into 0
19.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
19.914 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
19.914 * [taylor]: Taking taylor expansion of 0 in K
19.914 * [backup-simplify]: Simplify 0 into 0
19.914 * [taylor]: Taking taylor expansion of 0 in U
19.914 * [backup-simplify]: Simplify 0 into 0
19.914 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
19.914 * [taylor]: Taking taylor expansion of 0 in U
19.915 * [backup-simplify]: Simplify 0 into 0
19.915 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.915 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.915 * [backup-simplify]: Simplify (- 0) into 0
19.915 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.915 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
19.915 * [backup-simplify]: Simplify (* -2 (cos (/ 1/2 K))) into (* -2 (cos (/ 1/2 K)))
19.916 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.917 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.917 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.918 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.919 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.919 * [backup-simplify]: Simplify (- 0) into 0
19.919 * [backup-simplify]: Simplify (+ 0 0) into 0
19.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.921 * [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)))
19.921 * [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))))
19.923 * [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)))
19.924 * [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)))))
19.924 * [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))))))
19.924 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in K
19.924 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in K
19.924 * [taylor]: Taking taylor expansion of 1/4 in K
19.924 * [backup-simplify]: Simplify 1/4 into 1/4
19.924 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in K
19.924 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in K
19.925 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.925 * [taylor]: Taking taylor expansion of U in K
19.925 * [backup-simplify]: Simplify U into U
19.925 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
19.925 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
19.925 * [taylor]: Taking taylor expansion of 1/2 in K
19.925 * [backup-simplify]: Simplify 1/2 into 1/2
19.925 * [taylor]: Taking taylor expansion of K in K
19.925 * [backup-simplify]: Simplify 0 into 0
19.925 * [backup-simplify]: Simplify 1 into 1
19.925 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
19.925 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.925 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.925 * [backup-simplify]: Simplify (* (pow U 2) (cos (/ 1/2 K))) into (* (pow U 2) (cos (/ 1/2 K)))
19.925 * [backup-simplify]: Simplify (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) into (/ 1 (* (pow U 2) (cos (/ 1/2 K))))
19.925 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) into (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))
19.925 * [backup-simplify]: Simplify (- (/ 1/4 (* (pow U 2) (cos (/ 1/2 K))))) into (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))))
19.926 * [taylor]: Taking taylor expansion of (- (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) in U
19.926 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (pow U 2) (cos (/ 1/2 K))))) in U
19.926 * [taylor]: Taking taylor expansion of 1/4 in U
19.926 * [backup-simplify]: Simplify 1/4 into 1/4
19.926 * [taylor]: Taking taylor expansion of (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) in U
19.926 * [taylor]: Taking taylor expansion of (* (pow U 2) (cos (/ 1/2 K))) in U
19.926 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.926 * [taylor]: Taking taylor expansion of U in U
19.926 * [backup-simplify]: Simplify 0 into 0
19.926 * [backup-simplify]: Simplify 1 into 1
19.926 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in U
19.926 * [taylor]: Taking taylor expansion of (/ 1/2 K) in U
19.926 * [taylor]: Taking taylor expansion of 1/2 in U
19.926 * [backup-simplify]: Simplify 1/2 into 1/2
19.926 * [taylor]: Taking taylor expansion of K in U
19.926 * [backup-simplify]: Simplify K into K
19.926 * [backup-simplify]: Simplify (/ 1/2 K) into (/ 1/2 K)
19.926 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
19.926 * [backup-simplify]: Simplify (sin (/ 1/2 K)) into (sin (/ 1/2 K))
19.926 * [backup-simplify]: Simplify (* 1 1) into 1
19.926 * [backup-simplify]: Simplify (* (cos (/ 1/2 K)) 1) into (cos (/ 1/2 K))
19.926 * [backup-simplify]: Simplify (* (sin (/ 1/2 K)) 0) into 0
19.926 * [backup-simplify]: Simplify (- 0) into 0
19.927 * [backup-simplify]: Simplify (+ (cos (/ 1/2 K)) 0) into (cos (/ 1/2 K))
19.927 * [backup-simplify]: Simplify (* 1 (cos (/ 1/2 K))) into (cos (/ 1/2 K))
19.927 * [backup-simplify]: Simplify (/ 1 (cos (/ 1/2 K))) into (/ 1 (cos (/ 1/2 K)))
19.927 * [backup-simplify]: Simplify (+ 0) into 0
19.927 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.927 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.928 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.928 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.928 * [backup-simplify]: Simplify (- 0) into 0
19.928 * [backup-simplify]: Simplify (+ 0 0) into 0
19.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.929 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (cos (/ 1/2 K)))) into 0
19.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))))) into 0
19.930 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (cos (/ 1/2 K))))) into 0
19.930 * [backup-simplify]: Simplify (- 0) into 0
19.930 * [backup-simplify]: Simplify 0 into 0
19.930 * [taylor]: Taking taylor expansion of 0 in U
19.930 * [backup-simplify]: Simplify 0 into 0
19.930 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
19.930 * [taylor]: Taking taylor expansion of 0 in U
19.930 * [backup-simplify]: Simplify 0 into 0
19.931 * [backup-simplify]: Simplify 0 into 0
19.931 * [backup-simplify]: Simplify 0 into 0
19.931 * [backup-simplify]: Simplify (+ 0) into 0
19.931 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.931 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.932 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.932 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.932 * [backup-simplify]: Simplify (- 0) into 0
19.932 * [backup-simplify]: Simplify (+ 0 0) into 0
19.933 * [backup-simplify]: Simplify (+ (* -2 0) (* 0 (cos (/ 1/2 K)))) into 0
19.933 * [backup-simplify]: Simplify 0 into 0
19.933 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
19.934 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
19.934 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.935 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
19.935 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
19.935 * [backup-simplify]: Simplify (- 0) into 0
19.936 * [backup-simplify]: Simplify (+ 0 0) into 0
19.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ 1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
19.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.937 * [backup-simplify]: Simplify (+ 0) into 0
19.938 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 1)) into 0
19.938 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)))) into 0
19.938 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.939 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (* 0 0)) into 0
19.939 * [backup-simplify]: Simplify (- 0) into 0
19.939 * [backup-simplify]: Simplify (+ 0 0) into 0
19.939 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.939 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.939 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (pow (cos (/ 1/2 K)) 2))) into 0
19.940 * [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
19.940 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))) into 0
19.940 * [backup-simplify]: Simplify (+ 0 0) into 0
19.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow U 2) (pow (cos (/ 1/2 K)) 2))))))) (* 2 1)) into 0
19.941 * [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
19.942 * [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
19.942 * [taylor]: Taking taylor expansion of 0 in K
19.942 * [backup-simplify]: Simplify 0 into 0
19.942 * [taylor]: Taking taylor expansion of 0 in U
19.942 * [backup-simplify]: Simplify 0 into 0
19.942 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.942 * [backup-simplify]: Simplify (+ (* (pow U 2) 0) (* 0 (cos (/ 1/2 K)))) into 0
19.942 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (pow U 2) (cos (/ 1/2 K)))) (/ 0 (* (pow U 2) (cos (/ 1/2 K))))))) into 0
19.943 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow U 2) (cos (/ 1/2 K)))))) into 0
19.943 * [backup-simplify]: Simplify (- 0) into 0
19.943 * [taylor]: Taking taylor expansion of 0 in U
19.943 * [backup-simplify]: Simplify 0 into 0
19.943 * [taylor]: Taking taylor expansion of 0 in U
19.943 * [backup-simplify]: Simplify 0 into 0
19.944 * [backup-simplify]: Simplify (+ (* -2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K)))))) into 0
19.944 * [taylor]: Taking taylor expansion of 0 in U
19.944 * [backup-simplify]: Simplify 0 into 0
19.944 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.945 * [backup-simplify]: Simplify (+ (* (cos (/ 1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.945 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ 1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.947 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.947 * [backup-simplify]: Simplify (+ (* (sin (/ 1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.948 * [backup-simplify]: Simplify (- 0) into 0
19.948 * [backup-simplify]: Simplify (+ 0 0) into 0
19.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
19.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (cos (/ 1/2 K))))) into 0
19.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 (cos (/ 1/2 K))) (/ 0 (cos (/ 1/2 K)))) (* 0 (/ 0 (cos (/ 1/2 K)))))) into 0
19.951 * [backup-simplify]: Simplify (+ (* 1/4 0) (+ (* 0 0) (* 0 (/ 1 (cos (/ 1/2 K)))))) into 0
19.952 * [backup-simplify]: Simplify (- 0) into 0
19.952 * [backup-simplify]: Simplify 0 into 0
19.952 * [backup-simplify]: Simplify 0 into 0
19.952 * [backup-simplify]: Simplify (* (* -2 (cos (/ 1/2 (/ 1 K)))) (* 1 (* 1 (/ 1 (/ 1 J))))) into (* -2 (* (cos (* 1/2 K)) J))
19.954 * [backup-simplify]: Simplify (* (* (* (* -2 (/ 1 (- J))) (* (cbrt (cos (/ (/ 1 (- K)) 2))) (cbrt (cos (/ (/ 1 (- K)) 2))))) (* (* (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) (cbrt (cbrt (cos (/ (/ 1 (- K)) 2))))) (cbrt (cbrt (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))))))))
19.954 * [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
19.954 * [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
19.954 * [taylor]: Taking taylor expansion of 2 in U
19.954 * [backup-simplify]: Simplify 2 into 2
19.954 * [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
19.954 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in U
19.954 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
19.954 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
19.954 * [taylor]: Taking taylor expansion of -1/2 in U
19.954 * [backup-simplify]: Simplify -1/2 into -1/2
19.954 * [taylor]: Taking taylor expansion of K in U
19.954 * [backup-simplify]: Simplify K into K
19.954 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.954 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.954 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.954 * [taylor]: Taking taylor expansion of J in U
19.954 * [backup-simplify]: Simplify J into J
19.954 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.955 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.955 * [backup-simplify]: Simplify (- 0) into 0
19.955 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.955 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
19.955 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in U
19.955 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in U
19.955 * [taylor]: Taking taylor expansion of 1 in U
19.955 * [backup-simplify]: Simplify 1 into 1
19.955 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in U
19.955 * [taylor]: Taking taylor expansion of 1/4 in U
19.955 * [backup-simplify]: Simplify 1/4 into 1/4
19.955 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in U
19.955 * [taylor]: Taking taylor expansion of (pow J 2) in U
19.956 * [taylor]: Taking taylor expansion of J in U
19.956 * [backup-simplify]: Simplify J into J
19.956 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in U
19.956 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in U
19.956 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
19.956 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
19.956 * [taylor]: Taking taylor expansion of -1/2 in U
19.956 * [backup-simplify]: Simplify -1/2 into -1/2
19.956 * [taylor]: Taking taylor expansion of K in U
19.956 * [backup-simplify]: Simplify K into K
19.956 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.956 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.956 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.956 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.956 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.957 * [backup-simplify]: Simplify (- 0) into 0
19.957 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.957 * [taylor]: Taking taylor expansion of (pow U 2) in U
19.957 * [taylor]: Taking taylor expansion of U in U
19.957 * [backup-simplify]: Simplify 0 into 0
19.957 * [backup-simplify]: Simplify 1 into 1
19.957 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.957 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.957 * [backup-simplify]: Simplify (* 1 1) into 1
19.958 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) 1) into (pow (cos (/ -1/2 K)) 2)
19.958 * [backup-simplify]: Simplify (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) into (/ (pow J 2) (pow (cos (/ -1/2 K)) 2))
19.958 * [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)))
19.958 * [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)))
19.958 * [backup-simplify]: Simplify (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into (* 1/2 (/ J (cos (/ -1/2 K))))
19.959 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.959 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
19.960 * [backup-simplify]: Simplify (+ 0) into 0
19.960 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.960 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.961 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.962 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.962 * [backup-simplify]: Simplify (- 0) into 0
19.962 * [backup-simplify]: Simplify (+ 0 0) into 0
19.963 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
19.963 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 1)) into 0
19.964 * [backup-simplify]: Simplify (- (/ 0 (pow (cos (/ -1/2 K)) 2)) (+ (* (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)) (/ 0 (pow (cos (/ -1/2 K)) 2))))) into 0
19.964 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))) into 0
19.965 * [backup-simplify]: Simplify (+ 0 0) into 0
19.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/4 (/ (pow J 2) (pow (cos (/ -1/2 K)) 2)))))) into 0
19.965 * [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
19.965 * [taylor]: Taking taylor expansion of 2 in K
19.965 * [backup-simplify]: Simplify 2 into 2
19.965 * [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
19.965 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in K
19.965 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
19.965 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
19.965 * [taylor]: Taking taylor expansion of -1/2 in K
19.965 * [backup-simplify]: Simplify -1/2 into -1/2
19.965 * [taylor]: Taking taylor expansion of K in K
19.965 * [backup-simplify]: Simplify 0 into 0
19.965 * [backup-simplify]: Simplify 1 into 1
19.966 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.966 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.966 * [taylor]: Taking taylor expansion of J in K
19.966 * [backup-simplify]: Simplify J into J
19.966 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) J) into (/ (cos (/ -1/2 K)) J)
19.966 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in K
19.966 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in K
19.966 * [taylor]: Taking taylor expansion of 1 in K
19.966 * [backup-simplify]: Simplify 1 into 1
19.966 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in K
19.966 * [taylor]: Taking taylor expansion of 1/4 in K
19.966 * [backup-simplify]: Simplify 1/4 into 1/4
19.966 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in K
19.966 * [taylor]: Taking taylor expansion of (pow J 2) in K
19.966 * [taylor]: Taking taylor expansion of J in K
19.966 * [backup-simplify]: Simplify J into J
19.966 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in K
19.966 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in K
19.966 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
19.966 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
19.966 * [taylor]: Taking taylor expansion of -1/2 in K
19.967 * [backup-simplify]: Simplify -1/2 into -1/2
19.967 * [taylor]: Taking taylor expansion of K in K
19.967 * [backup-simplify]: Simplify 0 into 0
19.967 * [backup-simplify]: Simplify 1 into 1
19.967 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.967 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.967 * [taylor]: Taking taylor expansion of (pow U 2) in K
19.967 * [taylor]: Taking taylor expansion of U in K
19.967 * [backup-simplify]: Simplify U into U
19.967 * [backup-simplify]: Simplify (* J J) into (pow J 2)
19.967 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.968 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.968 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
19.968 * [backup-simplify]: Simplify (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
19.968 * [backup-simplify]: Simplify (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) into (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))
19.969 * [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)))))
19.969 * [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))))))
19.969 * [backup-simplify]: Simplify (+ (* J 0) (* 0 J)) into 0
19.969 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
19.969 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
19.970 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
19.970 * [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
19.971 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
19.971 * [backup-simplify]: Simplify (+ 0 0) into 0
19.972 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))))) into 0
19.972 * [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
19.972 * [taylor]: Taking taylor expansion of 2 in J
19.972 * [backup-simplify]: Simplify 2 into 2
19.972 * [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
19.972 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
19.972 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.972 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.972 * [taylor]: Taking taylor expansion of -1/2 in J
19.972 * [backup-simplify]: Simplify -1/2 into -1/2
19.972 * [taylor]: Taking taylor expansion of K in J
19.972 * [backup-simplify]: Simplify K into K
19.972 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.972 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.973 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.973 * [taylor]: Taking taylor expansion of J in J
19.973 * [backup-simplify]: Simplify 0 into 0
19.973 * [backup-simplify]: Simplify 1 into 1
19.973 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.973 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.973 * [backup-simplify]: Simplify (- 0) into 0
19.973 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.974 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.974 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
19.974 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
19.974 * [taylor]: Taking taylor expansion of 1 in J
19.974 * [backup-simplify]: Simplify 1 into 1
19.974 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
19.974 * [taylor]: Taking taylor expansion of 1/4 in J
19.974 * [backup-simplify]: Simplify 1/4 into 1/4
19.974 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
19.974 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.974 * [taylor]: Taking taylor expansion of J in J
19.974 * [backup-simplify]: Simplify 0 into 0
19.974 * [backup-simplify]: Simplify 1 into 1
19.974 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
19.974 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
19.974 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.974 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.974 * [taylor]: Taking taylor expansion of -1/2 in J
19.974 * [backup-simplify]: Simplify -1/2 into -1/2
19.974 * [taylor]: Taking taylor expansion of K in J
19.974 * [backup-simplify]: Simplify K into K
19.974 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.974 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.974 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.974 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.975 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.975 * [backup-simplify]: Simplify (- 0) into 0
19.975 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.975 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.975 * [taylor]: Taking taylor expansion of U in J
19.975 * [backup-simplify]: Simplify U into U
19.975 * [backup-simplify]: Simplify (* 1 1) into 1
19.976 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.976 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.976 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
19.976 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
19.976 * [backup-simplify]: Simplify (+ 1 0) into 1
19.977 * [backup-simplify]: Simplify (sqrt 1) into 1
19.977 * [backup-simplify]: Simplify (+ 0 0) into 0
19.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.978 * [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
19.978 * [taylor]: Taking taylor expansion of 2 in J
19.978 * [backup-simplify]: Simplify 2 into 2
19.978 * [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
19.978 * [taylor]: Taking taylor expansion of (/ (cos (/ -1/2 K)) J) in J
19.978 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.978 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.978 * [taylor]: Taking taylor expansion of -1/2 in J
19.978 * [backup-simplify]: Simplify -1/2 into -1/2
19.978 * [taylor]: Taking taylor expansion of K in J
19.978 * [backup-simplify]: Simplify K into K
19.978 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.978 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.979 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.979 * [taylor]: Taking taylor expansion of J in J
19.979 * [backup-simplify]: Simplify 0 into 0
19.979 * [backup-simplify]: Simplify 1 into 1
19.979 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.979 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.979 * [backup-simplify]: Simplify (- 0) into 0
19.979 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.979 * [backup-simplify]: Simplify (/ (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.979 * [taylor]: Taking taylor expansion of (sqrt (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))))) in J
19.979 * [taylor]: Taking taylor expansion of (+ 1 (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) in J
19.979 * [taylor]: Taking taylor expansion of 1 in J
19.980 * [backup-simplify]: Simplify 1 into 1
19.980 * [taylor]: Taking taylor expansion of (* 1/4 (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))) in J
19.980 * [taylor]: Taking taylor expansion of 1/4 in J
19.980 * [backup-simplify]: Simplify 1/4 into 1/4
19.980 * [taylor]: Taking taylor expansion of (/ (pow J 2) (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) in J
19.980 * [taylor]: Taking taylor expansion of (pow J 2) in J
19.980 * [taylor]: Taking taylor expansion of J in J
19.980 * [backup-simplify]: Simplify 0 into 0
19.980 * [backup-simplify]: Simplify 1 into 1
19.980 * [taylor]: Taking taylor expansion of (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) in J
19.980 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 2) in J
19.980 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in J
19.980 * [taylor]: Taking taylor expansion of (/ -1/2 K) in J
19.980 * [taylor]: Taking taylor expansion of -1/2 in J
19.980 * [backup-simplify]: Simplify -1/2 into -1/2
19.980 * [taylor]: Taking taylor expansion of K in J
19.980 * [backup-simplify]: Simplify K into K
19.980 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.980 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.980 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.980 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.980 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.981 * [backup-simplify]: Simplify (- 0) into 0
19.981 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.981 * [taylor]: Taking taylor expansion of (pow U 2) in J
19.981 * [taylor]: Taking taylor expansion of U in J
19.981 * [backup-simplify]: Simplify U into U
19.981 * [backup-simplify]: Simplify (* 1 1) into 1
19.982 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (cos (/ -1/2 K))) into (pow (cos (/ -1/2 K)) 2)
19.982 * [backup-simplify]: Simplify (* U U) into (pow U 2)
19.982 * [backup-simplify]: Simplify (* (pow (cos (/ -1/2 K)) 2) (pow U 2)) into (* (pow (cos (/ -1/2 K)) 2) (pow U 2))
19.982 * [backup-simplify]: Simplify (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))) into (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2)))
19.982 * [backup-simplify]: Simplify (+ 1 0) into 1
19.983 * [backup-simplify]: Simplify (sqrt 1) into 1
19.983 * [backup-simplify]: Simplify (+ 0 0) into 0
19.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
19.984 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.984 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
19.984 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in K
19.984 * [taylor]: Taking taylor expansion of 2 in K
19.984 * [backup-simplify]: Simplify 2 into 2
19.984 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
19.984 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
19.984 * [taylor]: Taking taylor expansion of -1/2 in K
19.984 * [backup-simplify]: Simplify -1/2 into -1/2
19.984 * [taylor]: Taking taylor expansion of K in K
19.984 * [backup-simplify]: Simplify 0 into 0
19.985 * [backup-simplify]: Simplify 1 into 1
19.985 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
19.985 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.985 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
19.985 * [taylor]: Taking taylor expansion of (* 2 (cos (/ -1/2 K))) in U
19.985 * [taylor]: Taking taylor expansion of 2 in U
19.985 * [backup-simplify]: Simplify 2 into 2
19.985 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
19.985 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
19.985 * [taylor]: Taking taylor expansion of -1/2 in U
19.985 * [backup-simplify]: Simplify -1/2 into -1/2
19.985 * [taylor]: Taking taylor expansion of K in U
19.985 * [backup-simplify]: Simplify K into K
19.985 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
19.986 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
19.986 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
19.986 * [backup-simplify]: Simplify (+ 0) into 0
19.986 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.987 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
19.987 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
19.988 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
19.988 * [backup-simplify]: Simplify (- 0) into 0
19.989 * [backup-simplify]: Simplify (+ 0 0) into 0
19.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)))) into 0
19.990 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
19.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
19.991 * [taylor]: Taking taylor expansion of 0 in K
19.991 * [backup-simplify]: Simplify 0 into 0
19.991 * [taylor]: Taking taylor expansion of 0 in U
19.991 * [backup-simplify]: Simplify 0 into 0
19.991 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
19.991 * [taylor]: Taking taylor expansion of 0 in U
19.991 * [backup-simplify]: Simplify 0 into 0
19.991 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
19.991 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
19.992 * [backup-simplify]: Simplify (- 0) into 0
19.992 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
19.992 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
19.992 * [backup-simplify]: Simplify (* 2 (cos (/ -1/2 K))) into (* 2 (cos (/ -1/2 K)))
19.992 * [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)))
19.993 * [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))))
19.994 * [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)))
19.995 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
19.996 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
19.996 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
19.997 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
19.997 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
19.998 * [backup-simplify]: Simplify (- 0) into 0
19.998 * [backup-simplify]: Simplify (+ 0 0) into 0
19.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.000 * [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))))
20.001 * [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))))
20.001 * [taylor]: Taking taylor expansion of (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) in K
20.001 * [taylor]: Taking taylor expansion of 1/4 in K
20.001 * [backup-simplify]: Simplify 1/4 into 1/4
20.001 * [taylor]: Taking taylor expansion of (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) in K
20.001 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in K
20.001 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.001 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.001 * [taylor]: Taking taylor expansion of -1/2 in K
20.001 * [backup-simplify]: Simplify -1/2 into -1/2
20.001 * [taylor]: Taking taylor expansion of K in K
20.001 * [backup-simplify]: Simplify 0 into 0
20.001 * [backup-simplify]: Simplify 1 into 1
20.002 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.002 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.002 * [taylor]: Taking taylor expansion of (pow U 2) in K
20.002 * [taylor]: Taking taylor expansion of U in K
20.002 * [backup-simplify]: Simplify U into U
20.002 * [backup-simplify]: Simplify (* U U) into (pow U 2)
20.002 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) (pow U 2)) into (* (cos (/ -1/2 K)) (pow U 2))
20.002 * [backup-simplify]: Simplify (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) into (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))
20.002 * [backup-simplify]: Simplify (* 1/4 (/ 1 (* (cos (/ -1/2 K)) (pow U 2)))) into (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2)))
20.003 * [taylor]: Taking taylor expansion of (/ 1/4 (* (cos (/ -1/2 K)) (pow U 2))) in U
20.003 * [taylor]: Taking taylor expansion of 1/4 in U
20.003 * [backup-simplify]: Simplify 1/4 into 1/4
20.003 * [taylor]: Taking taylor expansion of (* (cos (/ -1/2 K)) (pow U 2)) in U
20.003 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in U
20.003 * [taylor]: Taking taylor expansion of (/ -1/2 K) in U
20.003 * [taylor]: Taking taylor expansion of -1/2 in U
20.003 * [backup-simplify]: Simplify -1/2 into -1/2
20.003 * [taylor]: Taking taylor expansion of K in U
20.003 * [backup-simplify]: Simplify K into K
20.003 * [backup-simplify]: Simplify (/ -1/2 K) into (/ -1/2 K)
20.003 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.003 * [backup-simplify]: Simplify (sin (/ -1/2 K)) into (sin (/ -1/2 K))
20.003 * [taylor]: Taking taylor expansion of (pow U 2) in U
20.003 * [taylor]: Taking taylor expansion of U in U
20.003 * [backup-simplify]: Simplify 0 into 0
20.003 * [backup-simplify]: Simplify 1 into 1
20.003 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.003 * [backup-simplify]: Simplify (* (sin (/ -1/2 K)) 0) into 0
20.004 * [backup-simplify]: Simplify (- 0) into 0
20.004 * [backup-simplify]: Simplify (+ (cos (/ -1/2 K)) 0) into (cos (/ -1/2 K))
20.004 * [backup-simplify]: Simplify (* 1 1) into 1
20.004 * [backup-simplify]: Simplify (* (cos (/ -1/2 K)) 1) into (cos (/ -1/2 K))
20.004 * [backup-simplify]: Simplify (/ 1/4 (cos (/ -1/2 K))) into (/ 1/4 (cos (/ -1/2 K)))
20.005 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.005 * [backup-simplify]: Simplify (+ 0) into 0
20.006 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.006 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.007 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.007 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.008 * [backup-simplify]: Simplify (- 0) into 0
20.008 * [backup-simplify]: Simplify (+ 0 0) into 0
20.008 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.009 * [backup-simplify]: Simplify (- (/ 0 (cos (/ -1/2 K))) (+ (* (/ 1/4 (cos (/ -1/2 K))) (/ 0 (cos (/ -1/2 K)))))) into 0
20.009 * [backup-simplify]: Simplify 0 into 0
20.009 * [taylor]: Taking taylor expansion of 0 in U
20.009 * [backup-simplify]: Simplify 0 into 0
20.010 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K))))) into 0
20.010 * [taylor]: Taking taylor expansion of 0 in U
20.010 * [backup-simplify]: Simplify 0 into 0
20.010 * [backup-simplify]: Simplify 0 into 0
20.010 * [backup-simplify]: Simplify 0 into 0
20.010 * [backup-simplify]: Simplify (+ 0) into 0
20.011 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.011 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.012 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.012 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.012 * [backup-simplify]: Simplify (- 0) into 0
20.013 * [backup-simplify]: Simplify (+ 0 0) into 0
20.013 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 (cos (/ -1/2 K)))) into 0
20.013 * [backup-simplify]: Simplify 0 into 0
20.014 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
20.014 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.015 * [backup-simplify]: Simplify (+ 0) into 0
20.015 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 1)) into 0
20.015 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)))) into 0
20.016 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 0 1) 1))) into 0
20.016 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (* 0 0)) into 0
20.017 * [backup-simplify]: Simplify (- 0) into 0
20.017 * [backup-simplify]: Simplify (+ 0 0) into 0
20.017 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (cos (/ -1/2 K)))) into 0
20.017 * [backup-simplify]: Simplify (+ (* (pow (cos (/ -1/2 K)) 2) 0) (* 0 (pow U 2))) into 0
20.017 * [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
20.018 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))) into 0
20.018 * [backup-simplify]: Simplify (+ 0 0) into 0
20.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/8 (* (pow (cos (/ -1/2 K)) 2) (pow U 2))))))) (* 2 1)) into 0
20.019 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 0 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.020 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
20.020 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.021 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 3) 6)) 0 (* 1 (/ (pow 0 1) 1))) into 0
20.021 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 0)))) into 0
20.021 * [backup-simplify]: Simplify (- 0) into 0
20.021 * [backup-simplify]: Simplify (+ 0 0) into 0
20.023 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (cos (/ -1/2 K)) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
20.023 * [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
20.024 * [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
20.024 * [taylor]: Taking taylor expansion of 0 in K
20.024 * [backup-simplify]: Simplify 0 into 0
20.024 * [taylor]: Taking taylor expansion of 0 in U
20.024 * [backup-simplify]: Simplify 0 into 0
20.024 * [backup-simplify]: Simplify (+ (* U 0) (* 0 U)) into 0
20.024 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (* 0 (pow U 2))) into 0
20.024 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* (cos (/ -1/2 K)) (pow U 2))) (/ 0 (* (cos (/ -1/2 K)) (pow U 2)))))) into 0
20.025 * [backup-simplify]: Simplify (+ (* 1/4 0) (* 0 (/ 1 (* (cos (/ -1/2 K)) (pow U 2))))) into 0
20.025 * [taylor]: Taking taylor expansion of 0 in U
20.025 * [backup-simplify]: Simplify 0 into 0
20.025 * [taylor]: Taking taylor expansion of 0 in U
20.025 * [backup-simplify]: Simplify 0 into 0
20.026 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cos (/ -1/2 K)))))) into 0
20.026 * [taylor]: Taking taylor expansion of 0 in U
20.026 * [backup-simplify]: Simplify 0 into 0
20.026 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
20.027 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 0 2) 2)) 0) into 0
20.027 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.027 * [backup-simplify]: Simplify (- (/ 0 K) (+ (* (/ -1/2 K) (/ 0 K)) (* 0 (/ 0 K)))) into 0
20.028 * [backup-simplify]: Simplify (+ 0 (* 1 (/ (pow 0 1) 1))) into 0
20.028 * [backup-simplify]: Simplify (+ (* (sin (/ -1/2 K)) 0) (+ (* 0 0) (* 0 0))) into 0
20.028 * [backup-simplify]: Simplify (- 0) into 0
20.029 * [backup-simplify]: Simplify (+ 0 0) into 0
20.029 * [backup-simplify]: Simplify (+ (* (cos (/ -1/2 K)) 0) (+ (* 0 0) (* 0 1))) into 0
20.029 * [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
20.029 * [backup-simplify]: Simplify 0 into 0
20.030 * [backup-simplify]: Simplify 0 into 0
20.030 * [backup-simplify]: Simplify (* (* 2 (cos (/ -1/2 (/ 1 (- K))))) (* 1 (* 1 (/ 1 (/ 1 (- J)))))) into (* -2 (* (cos (* 1/2 K)) J))
20.030 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 2)
20.030 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ K 2)))) into (pow (cos (* 1/2 K)) 1/9)
20.030 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in (K) around 0
20.030 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in K
20.030 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (* 1/2 K))))) in K
20.030 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (* 1/2 K)))) in K
20.030 * [taylor]: Taking taylor expansion of 1/9 in K
20.030 * [backup-simplify]: Simplify 1/9 into 1/9
20.030 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
20.030 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.030 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.030 * [taylor]: Taking taylor expansion of 1/2 in K
20.030 * [backup-simplify]: Simplify 1/2 into 1/2
20.030 * [taylor]: Taking taylor expansion of K in K
20.030 * [backup-simplify]: Simplify 0 into 0
20.030 * [backup-simplify]: Simplify 1 into 1
20.030 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.031 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.031 * [backup-simplify]: Simplify (log 1) into 0
20.031 * [backup-simplify]: Simplify (* 1/9 0) into 0
20.031 * [backup-simplify]: Simplify (+ 0) into 0
20.036 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.036 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0
20.037 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
20.038 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
20.039 * [backup-simplify]: Simplify (+ (* 1/9 -1/8) (+ (* 0 0) (* 0 0))) into -1/72
20.039 * [backup-simplify]: Simplify (exp 0) into 1
20.039 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in K
20.039 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (* 1/2 K))))) in K
20.039 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (* 1/2 K)))) in K
20.039 * [taylor]: Taking taylor expansion of 1/9 in K
20.039 * [backup-simplify]: Simplify 1/9 into 1/9
20.039 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
20.039 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.039 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.039 * [taylor]: Taking taylor expansion of 1/2 in K
20.039 * [backup-simplify]: Simplify 1/2 into 1/2
20.039 * [taylor]: Taking taylor expansion of K in K
20.039 * [backup-simplify]: Simplify 0 into 0
20.039 * [backup-simplify]: Simplify 1 into 1
20.039 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.040 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.040 * [backup-simplify]: Simplify (log 1) into 0
20.040 * [backup-simplify]: Simplify (* 1/9 0) into 0
20.041 * [backup-simplify]: Simplify (+ 0) into 0
20.042 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.042 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0
20.043 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
20.044 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
20.045 * [backup-simplify]: Simplify (+ (* 1/9 -1/8) (+ (* 0 0) (* 0 0))) into -1/72
20.045 * [backup-simplify]: Simplify (exp 0) into 1
20.045 * [backup-simplify]: Simplify 1 into 1
20.045 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
20.045 * [backup-simplify]: Simplify 0 into 0
20.046 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/72 1) 1)))) into -1/72
20.046 * [backup-simplify]: Simplify -1/72 into -1/72
20.047 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.048 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.052 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
20.053 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
20.056 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.056 * [backup-simplify]: Simplify 0 into 0
20.057 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
20.059 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
20.070 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
20.072 * [backup-simplify]: Simplify (+ (* 1/9 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/1728
20.077 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/72 2) 2)) (* (/ (pow -1/1728 1) 1)))) into -5/10368
20.077 * [backup-simplify]: Simplify -5/10368 into -5/10368
20.077 * [backup-simplify]: Simplify (+ (* -5/10368 (pow K 4)) (+ (* -1/72 (pow K 2)) 1)) into (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
20.078 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ (/ 1 K) 2)))) into (pow (cos (/ 1/2 K)) 1/9)
20.078 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in (K) around 0
20.078 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in K
20.078 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ 1/2 K))))) in K
20.078 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ 1/2 K)))) in K
20.078 * [taylor]: Taking taylor expansion of 1/9 in K
20.078 * [backup-simplify]: Simplify 1/9 into 1/9
20.078 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
20.078 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.078 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.078 * [taylor]: Taking taylor expansion of 1/2 in K
20.078 * [backup-simplify]: Simplify 1/2 into 1/2
20.078 * [taylor]: Taking taylor expansion of K in K
20.078 * [backup-simplify]: Simplify 0 into 0
20.078 * [backup-simplify]: Simplify 1 into 1
20.078 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.079 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.079 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
20.079 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ 1/2 K)))) into (* 1/9 (log (cos (/ 1/2 K))))
20.079 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/9)
20.079 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in K
20.079 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ 1/2 K))))) in K
20.079 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ 1/2 K)))) in K
20.079 * [taylor]: Taking taylor expansion of 1/9 in K
20.079 * [backup-simplify]: Simplify 1/9 into 1/9
20.079 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
20.079 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.079 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.079 * [taylor]: Taking taylor expansion of 1/2 in K
20.079 * [backup-simplify]: Simplify 1/2 into 1/2
20.079 * [taylor]: Taking taylor expansion of K in K
20.079 * [backup-simplify]: Simplify 0 into 0
20.079 * [backup-simplify]: Simplify 1 into 1
20.080 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.080 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.080 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
20.080 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ 1/2 K)))) into (* 1/9 (log (cos (/ 1/2 K))))
20.080 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/9)
20.080 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/9) into (pow (cos (/ 1/2 K)) 1/9)
20.081 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
20.082 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (cos (/ 1/2 K))))) into 0
20.082 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.082 * [backup-simplify]: Simplify 0 into 0
20.084 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
20.085 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
20.086 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.086 * [backup-simplify]: Simplify 0 into 0
20.089 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
20.090 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
20.092 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.092 * [backup-simplify]: Simplify 0 into 0
20.096 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
20.098 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
20.100 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.100 * [backup-simplify]: Simplify 0 into 0
20.107 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
20.108 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
20.112 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.112 * [backup-simplify]: Simplify 0 into 0
20.125 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
20.127 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
20.133 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.133 * [backup-simplify]: Simplify 0 into 0
20.134 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/9) into (pow (cos (* 1/2 K)) 1/9)
20.134 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) into (pow (cos (/ -1/2 K)) 1/9)
20.134 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in (K) around 0
20.134 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in K
20.134 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ -1/2 K))))) in K
20.134 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ -1/2 K)))) in K
20.134 * [taylor]: Taking taylor expansion of 1/9 in K
20.134 * [backup-simplify]: Simplify 1/9 into 1/9
20.134 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
20.134 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.134 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.134 * [taylor]: Taking taylor expansion of -1/2 in K
20.134 * [backup-simplify]: Simplify -1/2 into -1/2
20.134 * [taylor]: Taking taylor expansion of K in K
20.134 * [backup-simplify]: Simplify 0 into 0
20.134 * [backup-simplify]: Simplify 1 into 1
20.135 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.135 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.135 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
20.135 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ -1/2 K)))) into (* 1/9 (log (cos (/ -1/2 K))))
20.135 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/9)
20.135 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in K
20.135 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ -1/2 K))))) in K
20.135 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ -1/2 K)))) in K
20.135 * [taylor]: Taking taylor expansion of 1/9 in K
20.135 * [backup-simplify]: Simplify 1/9 into 1/9
20.135 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
20.135 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.136 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.136 * [taylor]: Taking taylor expansion of -1/2 in K
20.136 * [backup-simplify]: Simplify -1/2 into -1/2
20.136 * [taylor]: Taking taylor expansion of K in K
20.136 * [backup-simplify]: Simplify 0 into 0
20.136 * [backup-simplify]: Simplify 1 into 1
20.136 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.136 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.136 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
20.136 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ -1/2 K)))) into (* 1/9 (log (cos (/ -1/2 K))))
20.137 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/9)
20.137 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/9) into (pow (cos (/ -1/2 K)) 1/9)
20.138 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
20.138 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (cos (/ -1/2 K))))) into 0
20.139 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.139 * [backup-simplify]: Simplify 0 into 0
20.141 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
20.142 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
20.143 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.143 * [backup-simplify]: Simplify 0 into 0
20.146 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
20.148 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
20.149 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.149 * [backup-simplify]: Simplify 0 into 0
20.154 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
20.156 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
20.158 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.158 * [backup-simplify]: Simplify 0 into 0
20.165 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
20.173 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
20.177 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.177 * [backup-simplify]: Simplify 0 into 0
20.189 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
20.191 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
20.198 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.198 * [backup-simplify]: Simplify 0 into 0
20.198 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/9) into (pow (cos (* 1/2 K)) 1/9)
20.198 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 1 2)
20.198 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ K 2)))) into (pow (cos (* 1/2 K)) 1/9)
20.198 * [approximate]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in (K) around 0
20.198 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in K
20.198 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (* 1/2 K))))) in K
20.198 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (* 1/2 K)))) in K
20.198 * [taylor]: Taking taylor expansion of 1/9 in K
20.198 * [backup-simplify]: Simplify 1/9 into 1/9
20.198 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
20.198 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.198 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.198 * [taylor]: Taking taylor expansion of 1/2 in K
20.198 * [backup-simplify]: Simplify 1/2 into 1/2
20.198 * [taylor]: Taking taylor expansion of K in K
20.198 * [backup-simplify]: Simplify 0 into 0
20.199 * [backup-simplify]: Simplify 1 into 1
20.199 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.200 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.200 * [backup-simplify]: Simplify (log 1) into 0
20.201 * [backup-simplify]: Simplify (* 1/9 0) into 0
20.201 * [backup-simplify]: Simplify (+ 0) into 0
20.202 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.203 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0
20.204 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
20.207 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
20.208 * [backup-simplify]: Simplify (+ (* 1/9 -1/8) (+ (* 0 0) (* 0 0))) into -1/72
20.208 * [backup-simplify]: Simplify (exp 0) into 1
20.208 * [taylor]: Taking taylor expansion of (pow (cos (* 1/2 K)) 1/9) in K
20.208 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (* 1/2 K))))) in K
20.208 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (* 1/2 K)))) in K
20.208 * [taylor]: Taking taylor expansion of 1/9 in K
20.208 * [backup-simplify]: Simplify 1/9 into 1/9
20.208 * [taylor]: Taking taylor expansion of (log (cos (* 1/2 K))) in K
20.208 * [taylor]: Taking taylor expansion of (cos (* 1/2 K)) in K
20.208 * [taylor]: Taking taylor expansion of (* 1/2 K) in K
20.208 * [taylor]: Taking taylor expansion of 1/2 in K
20.208 * [backup-simplify]: Simplify 1/2 into 1/2
20.208 * [taylor]: Taking taylor expansion of K in K
20.208 * [backup-simplify]: Simplify 0 into 0
20.209 * [backup-simplify]: Simplify 1 into 1
20.209 * [backup-simplify]: Simplify (* 1/2 0) into 0
20.210 * [backup-simplify]: Simplify (+ (* 1/2 1) (* 0 0)) into 1/2
20.210 * [backup-simplify]: Simplify (log 1) into 0
20.210 * [backup-simplify]: Simplify (* 1/9 0) into 0
20.211 * [backup-simplify]: Simplify (+ 0) into 0
20.212 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0
20.213 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 0)) into 0
20.214 * [backup-simplify]: Simplify (+ (* -1 (/ (pow 1/2 2) 2)) 0) into -1/8
20.217 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/8) 1)) (pow 1 1)))) 2) into -1/8
20.217 * [backup-simplify]: Simplify (+ (* 1/9 -1/8) (+ (* 0 0) (* 0 0))) into -1/72
20.217 * [backup-simplify]: Simplify (exp 0) into 1
20.218 * [backup-simplify]: Simplify 1 into 1
20.219 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0
20.219 * [backup-simplify]: Simplify 0 into 0
20.220 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/72 1) 1)))) into -1/72
20.220 * [backup-simplify]: Simplify -1/72 into -1/72
20.221 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 1) (* 0 0))) into 0
20.223 * [backup-simplify]: Simplify (+ 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) 0) into 0
20.227 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/8) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0
20.229 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0)))) into 0
20.231 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.231 * [backup-simplify]: Simplify 0 into 0
20.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
20.235 * [backup-simplify]: Simplify (+ (* 1 (/ (pow 1/2 4) 24)) 0 (* -1 (/ (pow 1/2 1) 1) (/ (pow 0 1) 1)) (* -1 (/ (pow 0 2) 2)) 0) into 1/384
20.246 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/8) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/8) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 1/384) 1)) (pow 1 1)))) 24) into -1/192
20.247 * [backup-simplify]: Simplify (+ (* 1/9 -1/192) (+ (* 0 0) (+ (* 0 -1/8) (+ (* 0 0) (* 0 0))))) into -1/1728
20.252 * [backup-simplify]: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/72 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/72 2) 2)) (* (/ (pow -1/1728 1) 1)))) into -5/10368
20.252 * [backup-simplify]: Simplify -5/10368 into -5/10368
20.253 * [backup-simplify]: Simplify (+ (* -5/10368 (pow K 4)) (+ (* -1/72 (pow K 2)) 1)) into (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
20.253 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ (/ 1 K) 2)))) into (pow (cos (/ 1/2 K)) 1/9)
20.253 * [approximate]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in (K) around 0
20.253 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in K
20.253 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ 1/2 K))))) in K
20.253 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ 1/2 K)))) in K
20.253 * [taylor]: Taking taylor expansion of 1/9 in K
20.253 * [backup-simplify]: Simplify 1/9 into 1/9
20.253 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
20.253 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.253 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.253 * [taylor]: Taking taylor expansion of 1/2 in K
20.253 * [backup-simplify]: Simplify 1/2 into 1/2
20.253 * [taylor]: Taking taylor expansion of K in K
20.253 * [backup-simplify]: Simplify 0 into 0
20.253 * [backup-simplify]: Simplify 1 into 1
20.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.254 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.254 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
20.254 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ 1/2 K)))) into (* 1/9 (log (cos (/ 1/2 K))))
20.254 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/9)
20.254 * [taylor]: Taking taylor expansion of (pow (cos (/ 1/2 K)) 1/9) in K
20.254 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ 1/2 K))))) in K
20.254 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ 1/2 K)))) in K
20.254 * [taylor]: Taking taylor expansion of 1/9 in K
20.254 * [backup-simplify]: Simplify 1/9 into 1/9
20.254 * [taylor]: Taking taylor expansion of (log (cos (/ 1/2 K))) in K
20.254 * [taylor]: Taking taylor expansion of (cos (/ 1/2 K)) in K
20.254 * [taylor]: Taking taylor expansion of (/ 1/2 K) in K
20.254 * [taylor]: Taking taylor expansion of 1/2 in K
20.254 * [backup-simplify]: Simplify 1/2 into 1/2
20.254 * [taylor]: Taking taylor expansion of K in K
20.254 * [backup-simplify]: Simplify 0 into 0
20.254 * [backup-simplify]: Simplify 1 into 1
20.255 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
20.255 * [backup-simplify]: Simplify (cos (/ 1/2 K)) into (cos (/ 1/2 K))
20.255 * [backup-simplify]: Simplify (log (cos (/ 1/2 K))) into (log (cos (/ 1/2 K)))
20.255 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ 1/2 K)))) into (* 1/9 (log (cos (/ 1/2 K))))
20.255 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ 1/2 K))))) into (pow (cos (/ 1/2 K)) 1/9)
20.255 * [backup-simplify]: Simplify (pow (cos (/ 1/2 K)) 1/9) into (pow (cos (/ 1/2 K)) 1/9)
20.256 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 1) into 0
20.257 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (cos (/ 1/2 K))))) into 0
20.257 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.258 * [backup-simplify]: Simplify 0 into 0
20.259 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 2) into 0
20.260 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))) into 0
20.261 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.261 * [backup-simplify]: Simplify 0 into 0
20.264 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 6) into 0
20.265 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))) into 0
20.266 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.266 * [backup-simplify]: Simplify 0 into 0
20.271 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ 1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 24) into 0
20.272 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))) into 0
20.275 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.275 * [backup-simplify]: Simplify 0 into 0
20.282 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ 1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 120) into 0
20.284 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K))))))))) into 0
20.288 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.288 * [backup-simplify]: Simplify 0 into 0
20.301 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ 1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ 1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ 1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ 1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ 1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ 1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ 1/2 K)) 1)))) 720) into 0
20.303 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ 1/2 K)))))))))) into 0
20.309 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ 1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.309 * [backup-simplify]: Simplify 0 into 0
20.310 * [backup-simplify]: Simplify (pow (cos (/ 1/2 (/ 1 K))) 1/9) into (pow (cos (* 1/2 K)) 1/9)
20.310 * [backup-simplify]: Simplify (cbrt (cbrt (cos (/ (/ 1 (- K)) 2)))) into (pow (cos (/ -1/2 K)) 1/9)
20.310 * [approximate]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in (K) around 0
20.310 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in K
20.310 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ -1/2 K))))) in K
20.310 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ -1/2 K)))) in K
20.310 * [taylor]: Taking taylor expansion of 1/9 in K
20.310 * [backup-simplify]: Simplify 1/9 into 1/9
20.310 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
20.310 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.310 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.310 * [taylor]: Taking taylor expansion of -1/2 in K
20.310 * [backup-simplify]: Simplify -1/2 into -1/2
20.310 * [taylor]: Taking taylor expansion of K in K
20.310 * [backup-simplify]: Simplify 0 into 0
20.310 * [backup-simplify]: Simplify 1 into 1
20.311 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.311 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.311 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
20.311 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ -1/2 K)))) into (* 1/9 (log (cos (/ -1/2 K))))
20.311 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/9)
20.311 * [taylor]: Taking taylor expansion of (pow (cos (/ -1/2 K)) 1/9) in K
20.311 * [taylor]: Taking taylor expansion of (exp (* 1/9 (log (cos (/ -1/2 K))))) in K
20.311 * [taylor]: Taking taylor expansion of (* 1/9 (log (cos (/ -1/2 K)))) in K
20.311 * [taylor]: Taking taylor expansion of 1/9 in K
20.311 * [backup-simplify]: Simplify 1/9 into 1/9
20.311 * [taylor]: Taking taylor expansion of (log (cos (/ -1/2 K))) in K
20.311 * [taylor]: Taking taylor expansion of (cos (/ -1/2 K)) in K
20.311 * [taylor]: Taking taylor expansion of (/ -1/2 K) in K
20.311 * [taylor]: Taking taylor expansion of -1/2 in K
20.311 * [backup-simplify]: Simplify -1/2 into -1/2
20.311 * [taylor]: Taking taylor expansion of K in K
20.311 * [backup-simplify]: Simplify 0 into 0
20.311 * [backup-simplify]: Simplify 1 into 1
20.318 * [backup-simplify]: Simplify (/ -1/2 1) into -1/2
20.318 * [backup-simplify]: Simplify (cos (/ -1/2 K)) into (cos (/ -1/2 K))
20.318 * [backup-simplify]: Simplify (log (cos (/ -1/2 K))) into (log (cos (/ -1/2 K)))
20.318 * [backup-simplify]: Simplify (* 1/9 (log (cos (/ -1/2 K)))) into (* 1/9 (log (cos (/ -1/2 K))))
20.318 * [backup-simplify]: Simplify (exp (* 1/9 (log (cos (/ -1/2 K))))) into (pow (cos (/ -1/2 K)) 1/9)
20.318 * [backup-simplify]: Simplify (pow (cos (/ -1/2 K)) 1/9) into (pow (cos (/ -1/2 K)) 1/9)
20.320 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 1) into 0
20.320 * [backup-simplify]: Simplify (+ (* 1/9 0) (* 0 (log (cos (/ -1/2 K))))) into 0
20.321 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 1) 1)))) into 0
20.321 * [backup-simplify]: Simplify 0 into 0
20.323 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 2) into 0
20.324 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))) into 0
20.325 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.325 * [backup-simplify]: Simplify 0 into 0
20.328 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 6) into 0
20.329 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))) into 0
20.331 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.331 * [backup-simplify]: Simplify 0 into 0
20.336 * [backup-simplify]: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (cos (/ -1/2 K)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 24) into 0
20.337 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))) into 0
20.339 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.339 * [backup-simplify]: Simplify 0 into 0
20.343 * [backup-simplify]: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (cos (/ -1/2 K)) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 120) into 0
20.345 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K))))))))) into 0
20.347 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
20.348 * [backup-simplify]: Simplify 0 into 0
20.355 * [backup-simplify]: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (cos (/ -1/2 K)) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (cos (/ -1/2 K)) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (cos (/ -1/2 K)) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (cos (/ -1/2 K)) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (cos (/ -1/2 K)) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (cos (/ -1/2 K)) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (cos (/ -1/2 K)) 1)))) 720) into 0
20.357 * [backup-simplify]: Simplify (+ (* 1/9 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (cos (/ -1/2 K)))))))))) into 0
20.361 * [backup-simplify]: Simplify (* (exp (* 1/9 (log (cos (/ -1/2 K))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
20.361 * [backup-simplify]: Simplify 0 into 0
20.361 * [backup-simplify]: Simplify (pow (cos (/ -1/2 (/ 1 (- K)))) 1/9) into (pow (cos (* 1/2 K)) 1/9)
20.361 * * * [progress]: simplifying candidates
20.361 * * * * [progress]: [ 1 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) 1/2)))>
20.361 * * * * [progress]: [ 2 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (pow (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) 1)))>
20.361 * * * * [progress]: [ 3 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (exp (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.361 * * * * [progress]: [ 4 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (log (exp (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.361 * * * * [progress]: [ 5 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.361 * * * * [progress]: [ 6 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.361 * * * * [progress]: [ 7 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.362 * * * * [progress]: [ 8 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.362 * * * * [progress]: [ 9 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.362 * * * * [progress]: [ 10 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (sqrt 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.362 * * * * [progress]: [ 11 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))))>
20.362 * * * * [progress]: [ 12 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))>
20.362 * * * * [progress]: [ 13 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (pow (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)) (/ 1 2))))>
20.362 * * * * [progress]: [ 14 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.362 * * * * [progress]: [ 15 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (fabs (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.362 * * * * [progress]: [ 16 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* 1 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.362 * * * * [progress]: [ 17 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (posit16->real (real->posit16 (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.362 * * * * [progress]: [ 18 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.362 * * * * [progress]: [ 19 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 20 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 21 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 22 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 23 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 24 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 25 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 26 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 27 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 28 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 29 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 30 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.363 * * * * [progress]: [ 31 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.364 * * * * [progress]: [ 32 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.364 * * * * [progress]: [ 33 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.364 * * * * [progress]: [ 34 / 126 ] simplifiying candidate #<alt (λ (J K U) (pow (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1))>
20.364 * * * * [progress]: [ 35 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 36 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 37 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 38 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 39 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 40 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 41 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.364 * * * * [progress]: [ 42 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 43 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 44 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 45 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 46 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (+ (log (* -2 J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 47 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 48 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 49 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (+ (log (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 50 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (+ (log (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 51 / 126 ] simplifiying candidate #<alt (λ (J K U) (exp (log (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 52 / 126 ] simplifiying candidate #<alt (λ (J K U) (log (exp (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.365 * * * * [progress]: [ 53 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))))))>
20.365 * * * * [progress]: [ 54 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 55 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.366 * * * * [progress]: [ 56 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 57 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 58 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.366 * * * * [progress]: [ 59 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 60 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 61 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.366 * * * * [progress]: [ 62 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 63 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))))))>
20.366 * * * * [progress]: [ 64 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* -2 J)) (* -2 J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.367 * * * * [progress]: [ 65 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))))))>
20.367 * * * * [progress]: [ 66 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))))))>
20.367 * * * * [progress]: [ 67 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.367 * * * * [progress]: [ 68 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.367 * * * * [progress]: [ 69 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.367 * * * * [progress]: [ 70 / 126 ] simplifiying candidate #<alt (λ (J K U) (cbrt (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.367 * * * * [progress]: [ 71 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.367 * * * * [progress]: [ 72 / 126 ] simplifiying candidate #<alt (λ (J K U) (* 1 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.367 * * * * [progress]: [ 73 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))>
20.367 * * * * [progress]: [ 74 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))>
20.368 * * * * [progress]: [ 75 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))>
20.368 * * * * [progress]: [ 76 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.368 * * * * [progress]: [ 77 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt 1)) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.368 * * * * [progress]: [ 78 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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))))))>
20.368 * * * * [progress]: [ 79 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) 1) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.368 * * * * [progress]: [ 80 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))>
20.368 * * * * [progress]: [ 81 / 126 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))))>
20.368 * * * * [progress]: [ 82 / 126 ] simplifiying candidate #<alt (λ (J K U) (/ (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))))>
20.368 * * * * [progress]: [ 83 / 126 ] simplifiying candidate #<alt (λ (J K U) (posit16->real (real->posit16 (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))))>
20.368 * * * * [progress]: [ 84 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))))>
20.368 * * * * [progress]: [ 85 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (pow (cbrt (cos (/ K 2))) 1/3))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.368 * * * * [progress]: [ 86 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (pow (cbrt (cbrt (cos (/ K 2)))) 1))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.368 * * * * [progress]: [ 87 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (exp (log (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 88 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (log (exp (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 89 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 90 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (sqrt (cos (/ K 2))))) (cbrt (cbrt (sqrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 91 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 92 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 93 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (sqrt (cbrt (cos (/ K 2))))) (cbrt (sqrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 94 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt 1) (cbrt (cbrt (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 95 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 96 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 97 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (cbrt (cbrt (cos (/ K 2))))) (sqrt (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 98 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* 1 (cbrt (cbrt (cos (/ K 2))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 99 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (posit16->real (real->posit16 (cbrt (cbrt (cos (/ K 2)))))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.369 * * * * [progress]: [ 100 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (pow (cbrt (cos (/ K 2))) 1/3)) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 101 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (pow (cbrt (cbrt (cos (/ K 2)))) 1)) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 102 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (exp (log (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 103 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (log (exp (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 104 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 105 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (sqrt (cos (/ K 2))))) (cbrt (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 106 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (cbrt 1)) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 107 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 108 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt (sqrt (cbrt (cos (/ K 2))))) (cbrt (sqrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 109 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (cbrt 1) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 110 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.370 * * * * [progress]: [ 111 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 112 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (sqrt (cbrt (cbrt (cos (/ K 2))))) (sqrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 113 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* 1 (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 114 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (posit16->real (real->posit16 (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 115 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) 1))>
20.371 * * * * [progress]: [ 116 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
20.371 * * * * [progress]: [ 117 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* 1/2 (/ U (* (cos (* 1/2 K)) J)))))>
20.371 * * * * [progress]: [ 118 / 126 ] simplifiying candidate #<alt (λ (J K U) 0)>
20.371 * * * * [progress]: [ 119 / 126 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
20.371 * * * * [progress]: [ 120 / 126 ] simplifiying candidate #<alt (λ (J K U) (* -2 (* (cos (* 1/2 K)) J)))>
20.371 * * * * [progress]: [ 121 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 122 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/9))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 123 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (pow (cos (* 1/2 K)) 1/9))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 124 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 125 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (pow (cos (* 1/2 K)) 1/9)) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.371 * * * * [progress]: [ 126 / 126 ] simplifiying candidate #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (pow (cos (* 1/2 K)) 1/9)) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))>
20.375 * [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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (+ (log (cbrt (cos (/ K 2)))) (log (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (+ (log (cbrt (cbrt (cos (/ K 2))))) (log (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (+ (log (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (log (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (+ (+ (+ (+ (log -2) (log J)) (log (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (log (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (log (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
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  (* (* (* (* (* (* -2 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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 -2) -2) (* (* J J) J)) (* (cos (/ K 2)) (cos (/ K 2)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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 -2) -2) (* (* J J) J)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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)) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))))) (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))))
  (cbrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (sqrt (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt 1))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt 1))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) 1)
  (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ (pow 1 3) (pow (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2) 3))))
  (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (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) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
  (log (cbrt (cbrt (cos (/ K 2)))))
  (exp (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt 1))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt 1)
  (cbrt (cbrt (cos (/ K 2))))
  (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (real->posit16 (cbrt (cbrt (cos (/ K 2)))))
  (log (cbrt (cbrt (cos (/ K 2)))))
  (exp (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt 1))
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt 1)
  (cbrt (cbrt (cos (/ K 2))))
  (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (real->posit16 (cbrt (cbrt (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 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
  (pow (cos (* 1/2 K)) 1/9)
  (pow (cos (* 1/2 K)) 1/9)
  (- 1 (+ (* 5/10368 (pow K 4)) (* 1/72 (pow K 2))))
  (pow (cos (* 1/2 K)) 1/9)
  (pow (cos (* 1/2 K)) 1/9)
20.384 * * [simplify]: iteration 1: (207 enodes)
20.495 * * [simplify]: iteration 2: (550 enodes)
20.839 * * [simplify]: Extracting #0: cost 59 inf + 0
20.841 * * [simplify]: Extracting #1: cost 379 inf + 3
20.846 * * [simplify]: Extracting #2: cost 835 inf + 162
20.852 * * [simplify]: Extracting #3: cost 864 inf + 2114
20.860 * * [simplify]: Extracting #4: cost 832 inf + 6419
20.872 * * [simplify]: Extracting #5: cost 772 inf + 20903
20.898 * * [simplify]: Extracting #6: cost 605 inf + 89618
20.963 * * [simplify]: Extracting #7: cost 264 inf + 303827
21.128 * * [simplify]: Extracting #8: cost 20 inf + 464769
21.308 * * [simplify]: Extracting #9: cost 0 inf + 479995
21.501 * [simplify]: Simplified to:
  (log (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (exp (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (cbrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (cbrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (cbrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  (fabs (cbrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (cbrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  1
  (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  1
  (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (+ 1 (- (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (- 1 (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (- 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  1/2
  (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (real->posit16 (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (exp (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (* -8 (* (* (* J (* J J)) (cos (/ K 2))) (cos (/ K 2)))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* (* (* -8 (* (* (* J (* J J)) (cos (/ K 2))) (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* -8 (* J (* J J))) (* (* (* (* (cos (/ K 2)) (cos (/ K 2))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* -8 (* J (* J J)))) (* (cbrt (cos (/ K 2))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* -8 (* J (* J J)))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2))))))
  (* (* (* (* -8 (* J (* J J))) (* (* (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cbrt (cos (/ K 2)))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))
  (* (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))
  (* (* (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (* (cbrt (cbrt (cos (/ K 2)))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))
  (* (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))))
  (* (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))))) (* (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (* (* J -2) (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2))))))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))))
  (* (cbrt (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))) (cbrt (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))))
  (cbrt (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))))
  (sqrt (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (sqrt (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (* (* (* (cbrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (cbrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))))) (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cbrt (cos (/ K 2)))))
  (* (* (fabs (cbrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (* J -2)) (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* J -2) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))))
  (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))
  (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2)))) (* (* J -2) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))))
  (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cbrt (cos (/ K 2)))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
  (* (* (sqrt (+ 1 (* (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cbrt (cos (/ K 2)))))
  (* (* (sqrt (- 1 (* (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))) (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))) (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2)))))))) (cbrt (cbrt (cos (/ K 2)))))
  (real->posit16 (* (* (* -2 (* (* (* J (cbrt (cos (/ K 2)))) (cbrt (cos (/ K 2)))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (cos (/ K 2))))) (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J))))))))
  (log (cbrt (cbrt (cos (/ K 2)))))
  (exp (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  1
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  1
  (cbrt (cbrt (cos (/ K 2))))
  (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (real->posit16 (cbrt (cbrt (cos (/ K 2)))))
  (log (cbrt (cbrt (cos (/ K 2)))))
  (exp (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  (cbrt (cbrt (sqrt (cos (/ K 2)))))
  1
  (cbrt (cbrt (cos (/ K 2))))
  (cbrt (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  (cbrt (sqrt (cbrt (cos (/ K 2)))))
  1
  (cbrt (cbrt (cos (/ K 2))))
  (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))
  (cbrt (cbrt (cbrt (cos (/ K 2)))))
  (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (sqrt (cbrt (cbrt (cos (/ K 2)))))
  (real->posit16 (cbrt (cbrt (cos (/ K 2)))))
  1
  (/ (* U 1/2) (* J (cos (* 1/2 K))))
  (/ (* U 1/2) (* J (cos (* 1/2 K))))
  0
  (* J (* -2 (cos (* 1/2 K))))
  (* J (* -2 (cos (* 1/2 K))))
  (- (- 1 (* (* 5/10368 (* K K)) (* K K))) (* 1/72 (* K K)))
  (pow (cos (* 1/2 K)) 1/9)
  (pow (cos (* 1/2 K)) 1/9)
  (- (- 1 (* (* 5/10368 (* K K)) (* K K))) (* 1/72 (* K K)))
  (pow (cos (* 1/2 K)) 1/9)
  (pow (cos (* 1/2 K)) 1/9)
21.526 * * * [progress]: adding candidates to table
23.639 * [progress]: [Phase 3 of 3] Extracting.
23.639 * * [regime]: Finding splitpoints for: (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
23.649 * * * [regime-changes]: Trying 6 branch expressions: (U K (/ K 2) (cos (/ K 2)) J (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))
23.649 * * * * [regimes]: Trying to branch on U from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
23.757 * * * * [regimes]: Trying to branch on K from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
23.851 * * * * [regimes]: Trying to branch on (/ K 2) from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
23.958 * * * * [regimes]: Trying to branch on (cos (/ K 2)) from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
24.081 * * * * [regimes]: Trying to branch on J from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
24.225 * * * * [regimes]: Trying to branch on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) from (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
24.359 * * * [regime]: Found split indices: #<option (#s(si 10 34) #s(si 8 226) #s(si 10 255))>
24.361 * [binary-search]: Only using regimes for bounds on (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) and (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
24.361 * [regimes]: Found splitpoints: (#s(sp 10 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) -6.414707636852215e+301) #s(sp 8 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1.3904547616940519e+307) #s(sp 10 (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) +nan.0)) , with alts (#<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)))))))> #<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)))))> #<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) (* (* (sqrt (* (* -2 J) (cos (/ K 2)))) (sqrt (* (* -2 J) (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) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (* (cbrt (sqrt (cos (/ K 2)))) (cbrt (sqrt (cos (/ K 2))))))) (cbrt (cos (/ K 2)))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))))> #<alt (λ (J K U) (cbrt (* (* (* (sqrt (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (+ 1 (* (/ U (* (cos (/ K 2)) (* 2 J))) (/ U (* (cos (/ K 2)) (* 2 J)))))) (* (* (* J -2) (* J -2)) (* (* (cos (/ K 2)) (cos (/ K 2))) (* J -2)))) (* (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))) (* (cbrt (cbrt (cos (/ K 2)))) (cbrt (cbrt (cos (/ K 2))))))))))> #<alt (λ (J K U) (* (* (* (* -2 J) (* (cbrt (cos (/ K 2))) (cbrt (cos (/ K 2))))) (* (* (cbrt (cbrt (cos (/ K 2)))) (* (* (cbrt (cbrt (cbrt (cos (/ K 2))))) (cbrt (cbrt (cbrt (cos (/ K 2)))))) (cbrt (cbrt (cbrt (cos (/ K 2))))))) (cbrt (cbrt (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) (* J (cos (/ K 2))))))) (cos (/ K 2)))))> #<alt (λ (J K U) (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)))))))> #<alt (λ (J K U) (- U))>)
24.362 * [simplify]: Simplifying:
  (if (<= (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) -6.414707636852215e+301) (- U) (if (<= (* (* (* -2 J) (cos (/ K 2))) (sqrt (+ 1 (pow (/ U (* (* 2 J) (cos (/ K 2)))) 2)))) 1.3904547616940519e+307) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* J (cos (/ K 2)))) (/ (/ U 2) (* J (cos (/ K 2))))))) (cos (/ K 2)))) (- U)))
24.362 * * [simplify]: iteration 1: (32 enodes)
24.363 * * [simplify]: iteration 2: (47 enodes)
24.365 * * [simplify]: Extracting #0: cost 1 inf + 0
24.365 * * [simplify]: Extracting #1: cost 6 inf + 0
24.365 * * [simplify]: Extracting #2: cost 13 inf + 0
24.365 * * [simplify]: Extracting #3: cost 18 inf + 2
24.365 * * [simplify]: Extracting #4: cost 17 inf + 46
24.365 * * [simplify]: Extracting #5: cost 21 inf + 88
24.365 * * [simplify]: Extracting #6: cost 19 inf + 133
24.365 * * [simplify]: Extracting #7: cost 20 inf + 419
24.365 * * [simplify]: Extracting #8: cost 18 inf + 828
24.366 * * [simplify]: Extracting #9: cost 13 inf + 1975
24.366 * * [simplify]: Extracting #10: cost 9 inf + 3906
24.367 * * [simplify]: Extracting #11: cost 4 inf + 6807
24.368 * * [simplify]: Extracting #12: cost 2 inf + 8161
24.369 * * [simplify]: Extracting #13: cost 0 inf + 10601
24.371 * * [simplify]: Extracting #14: cost 0 inf + 10546
24.374 * [simplify]: Simplified to:
  (if (<= (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) -6.414707636852215e+301) (- U) (if (<= (* (sqrt (+ (pow (/ U (* (* J 2) (cos (/ K 2)))) 2) 1)) (* (cos (/ K 2)) (* -2 J))) 1.3904547616940519e+307) (* (* -2 J) (* (sqrt (+ 1 (* (/ (/ U 2) (* (cos (/ K 2)) J)) (/ (/ U 2) (* (cos (/ K 2)) J))))) (cos (/ K 2)))) (- U)))
31.978 * [regime-testing]: Baseline error score: 17.200282111033577
31.982 * [regime-testing]: Oracle error score: 8.669954246031857
31.986 * [regime-testing]: End program error score: 9.695613183695098